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    Chapter - 1

    Properties of solids

    Q- Define Elasticity & Plasticity OR State Elasticity & Plasticity

    Property

    Ans: Elasticity: Elasticity is defined as a property of the body by virtue of

    which it tends to regainits original shape or size on removal of deforming

    force.

    Plasticity:Plasticity is defined as a property of body by virtue of which it

    does not regainits original shape or size on removal of deforming force.

    Q- Define Restoring Force & Deforming Force

    Ans: Restoring Force: The force which changes the shape & size of the

    body after its application.

    Deforming Force:It is an external forcewhich changes the shape & size of

    the body after its application.

    Q -Define Stress.State its types

    Ans: Stress:It is defined as internal restoring force per unit cross sectional

    area of a body.

    S. I. unit N/m2

    Types of Stress

    (1) Longitudinal or Tensile stress

    (2)

    Compressive or Normal stress

    (3)

    Volumetric or Volume stress

    (4) Shearing or Shear stress

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    Q. Define following terms

    (1) Tensile stress

    (2) Compressive stress

    (3) Volumetric stress

    (4) Shear stress

    Ans: Tensile stress:The stress when applied results in change in the length

    of the body is called as tensile stress

    Compressive stress:A stress which causes an elastic body to shorten in the

    direction of the applied force is called as compressive stress.

    Volumetric stress:The stress when applied results in change in the volume

    of the body is called as volumetric stress.

    Shear stress:The stress when applied results in the change in shape of the

    body is called as shear stress

    Q. Define Strain. State its types

    Ans: Strain:It is the ratio of change in dimension to original dimension of a

    body. It has no unit

    Types of Strain

    (1)

    Tensile or longitudinal strain

    (2) Volumetric or volume strain

    (3)

    Shearing or shear strain

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    QDefine following terms

    (1) Tensile Strain

    (2)

    Volumetric Strain

    (3)

    Shear Strain

    (4) Breaking Stress

    Ans: Tensile Strain:Tensile strain is defined as the ratio of change in length

    per unit original length of a body

    Volumetric strain: Volumetric strain is defined as the ratio of change in

    volume per unit original volume of a body.

    Shear strain:It is defined as the ratio of lateral displacement of any layer to

    its distance from fixed layer.

    Breaking stress:The maximum stress at which the wire breaks is called as

    breaking stress.

    QState Hooks law of elasticity

    Ans :Statement :Within the elastic limit stress is directly proportional to

    strain Stress Strain

    Stress = Constant x Strain

    Stress = M x Strain

    Where, M - constant of proportionality called as

    modulus of rigidity

    QDefine elastic limit

    Ans: It is defined as maximum stress which can be applied on a body

    without permanent deformation of a body.

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    Q Define Youngs modulus, Bulk modulus, Modulus of rigidity.OR

    Define three elastic constant & state the relation between them.

    Ans: Youngs modulus:It is the ratio of tensile stress to tensile strain

    Tensile stressYoungs modulus (Y) =

    Tensile strain

    Bulk modulus:It is the ratio of volume stress to volume strain

    Volume stress

    Bulk modulus (k) =Volume strain

    Modulus of rigidity:It is the ratio of shearing stress to shearing strain

    Shearing stressModulus of rigidity () =

    Shearing strain

    9k Relation: Y =

    3k+

    Where,Y = Youngs modulus

    k = Bulk modulus = Modulus of rigidity

    Q Define following: Factor of safety, Yield point, Ultimate stress,

    Compressibility

    Ans: Factor of safety:It is defined as the ratio of ultimate stress to working

    stress

    Yield point:The point on stress Strain curve at which plastic flow begins

    is called as yield point

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    Ultimate stress:It is the maximum stress (force per unit area) the material

    can withstand before it breaks

    Compressibility:The reciprocal of bulk modulus of elasticity is called as

    compressibility.

    C = 1/K

    QGive relation between bulk modulus of elasticity & compressibility

    Ans: Compressibility= 1/ Bulk modulus

    QDefine Poissons ratio

    Ans: It is defined a within elastic limit the ratio of lateral strain to

    longitudinal strain.

    It is denoted by Lateral strain

    = = -d / D

    Longitudinal strain l /L

    QState the factors affecting on elasticity

    Ans: Factors affecting on elasticity

    (1)

    Change of temperature

    (2) Effect of hammering & rolling

    (3) Effect of annealing

    (4)

    Effect of impurities

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    QExplain the behaviour of a wire under continuously increasing load

    by using stress strain diagram.

    Explaination

    A graph or diagram of stress and strain is shown as above.

    OE Portion is straight line which indicates that stress is proportional to

    strain. Therefore the wire obeys Hookes lawupto the point E this point is

    called elastic limit.

    EE Portion is curved towards strain axis this shows that increase in strain is

    more, than increase in stress. In this region stress is not proportional to

    strain.

    Between any point E and E if all load is removed then some permanent

    elongation / increase in length takes place in the wire this is called set.

    When wire is again loaded, a new straight lineSEis obtained which obey

    Hookes law.

    Some portion after the point Yis almost parallel to strain axis this shows that

    strain increases without increase in stress just like wire flows. This is called

    plastic flow.

    The point at which the plastic flow begins is called yield point.

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    CHAPTER2

    Properties of Liquids

    Fluid Friction

    QDefine

    1. Pressure

    2. Atmospheric Pressure

    Pressure:It is defined as the force acting on a unit surface areaor The force

    per unit area is called as pressure

    Ex:Nail with pointed tip can easily penetrate in the wall

    Pressure (p) = Force (F)

    Area (A)

    S. I. Unit N/M2or Pascal (Pa)

    Atmospheric Pressure:The Pressure exerted by the atmosphere is called as

    atmospheric pressure.

    QState Pascals law

    Ans: Statement :It states that, in an enclosed liquid, if pressure is applied

    at any part of the liquid, then this change of pressure is transmitted

    undiminished to every portion of the liquid & to the walls of its container

    QState Archimedes Principle

    Ans: Statement: It states that when a solid insoluble body immersed

    completely or partly in a liquid, it loses its weight & loss of weight of the

    body is equal to the weight of displaced liquid.

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    QDefine Critical Velocity

    Ans:It is defined as the maximum velocity of liquid up to which its flow is

    streamlined is called as critical velocity.

    QDefine

    (1) Viscosity

    (2)

    Velocity gradient. State its S.I. unit

    (3) Coefficient of viscosity.State its S.I. unit

    Ans: Viscosity:The internal force developed between two layers of a liquidwhich opposes (resist) the flow of liquid is called as viscosity

    Ex:Glycerine, Honey, water

    Velocity gradient: It is defined as the ratio of change in velocity to the

    corresponding change of distance S. I. unit is S-1

    Coefficient of viscosity:

    Theviscous force developed between two liquid layers of unit surface area

    & unit velocity gradient is called as coefficient of viscosity.

    S. I Unit is N-s/m2

    QState Pressure depth relation. Give meaning of each terms in it.

    Ans: Pressure depth relation, P = h g

    Where, pPressure

    gAcceleration d due to gravity

    Density of liquid

    hPressure head

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    QState Newtons law of viscosity

    Ans: Statement:The viscous force (F) developed between two liquid layers

    is

    (i)

    Directly proportional to the surface area of liquid layer (A)

    (F A)

    (ii)

    Directly Proportional to velocity Gradient (dv/dx)

    i.e. [F (dv/dx)]

    F A dv/dx

    F = A dv / dx

    QDefine thrust (force). State its S.I. unit

    Ans: It is defined as the total force exerted by a liquid on a surface incontact is called as thrust of a liquid. S.I. Unit - Newton ( N )

    Q. Define streamline flow & turbulent flow with examples

    Ans : Streamline Flow : The flow of liquid in which every particle of

    liquid move in same direction (parallel) of flow of liquid is called as

    streamline flow.

    Ex: water flow through tap, canal flow, flow of river during summer

    Turbulent flow: The flow of liquid in which particle of liquid does not

    move in same direction (random) of flow of liquid is called as turbulent

    flow.

    Ex:River flow during flood, Whirlpools, water fall

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    QDistinguish between streamline flow and turbulent flow

    Streamline Flow Turbulent Flow

    1. The velocity of liquid is smaller

    than critical velocity

    1. The velocity of liquid is greater

    than critical velocity

    2. For this Reynolds number is less

    than2000

    2. For this Reynolds number is

    more than 3000

    3.There is no mixing of various

    layers with each other

    3.There is always mixing of various

    layers with each other

    4.It is a steady flow 4.It is speedy flow

    5.All the molecules of liquid move

    in same direction

    Ex-Canal Flow, flow of river during

    summer

    5.All the molecules of liquid do not

    move in same direction

    Ex-Water fall, river flow during

    flood, whirpools

    QDefine Reynolds Number. State its formula with meaning

    Ans: Reynolds Number: Reynolds Number is a non dimensional Number,

    used in fluid mechanics to determine whether the flow is streamline,

    turbulent or unstable.

    Vc = R / rd

    Where, Vc = critical velocity of Flow of liquid

    d = density of liquid

    r = radius of the tube

    = coefficient of viscosity of liquid

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    QGive the significance of Reynolds number

    Ans : Significance of Reynolds number

    1.

    When R 3000, the flow of liquid is turbulent.

    3. WhenRis in between 2000 to 3000the flow of liquid is unstable.

    QDefine terminal velocity & upthrust force

    Ans: Terminal velocity:It is defined as the constant velocity with which thebody is freely falling through the liquid column.

    Upthrust force: It is defined as the force acting on body completely or

    partially immersed in liquid that causes apparent loss in weight of the body.

    QState Stokes law of Viscosity

    Ans: Statement: It states that for a small spherical body falling freely

    through a liquid, the viscous force is directly the viscous force is directly

    proportional to the,

    1. Radius of the sphere. (r)

    2.

    Terminal Velocity (v)

    3. Coefficient of viscosity of liquid ()

    F r v

    F = Constant x (r v )

    F = 6 r v

    Where, 6 is the constant of proportionality

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    QState the effect of temperature and adulteration on viscosity

    of liquid

    Ans It is observed that as temperature of liquid increases, its viscositydecreases

    i.e. Viscosity 1Temperature

    When adulteration such as soluble substance is added to liquid, its viscosity

    goes on increasing

    i.e. viscosity adulteration

    QDerive an expression for coefficient of viscosity by stokes method

    Ans: Consider a small sphere of radius r and density falling freely

    under gravity through viscous liquid as shown in (Fig.)

    After covering certain distance through the liquid, metal sphere attains an

    constant velocity called terminal velocity.

    Metal sphere falling freely through a liquid experiences two forces as shown

    in (Fig.)

    Downward force = Weight of metal sphere

    = Volume of metal sphere x density of metal sphere

    = 4/3 r3x g x (1)

    Upward force of two types.

    (a) Upthrust force = Loss of weight of body in a liquid

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    = Weight of displaced liquid (by Archimedes principle)

    = Volume of sphere x density of liquid

    = 4/3 r3

    x g x .(2)

    (b) Force of viscosity

    F = 6 r v (3)

    When a metal sphere attains terminal velocity.

    Total upward force = Total downward force

    4/3 r3x . g + 6 r v = 4/3 r

    3x .g

    6 r v = 4/3 r3((- ) g

    4 x x r3

    x (- ) x g =

    3 x 6 x r x v

    = 2 / 9 r2x (- ) x g

    v ....(4)

    Equation (4) gives coefficient of viscosity by stokes method.

    QWrite two applications (examples) of Pascals law

    Ans: Hydraulic press To compress metal sheets

    Hydraulic brakesUsed in cars, buses

    Hydraulic jackTo lift vehicles in workshop, cars, jeeps

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    Surface tension

    QDefine surface tension. Write its S.I. unit

    Ans: Surface tension:It is defined as the force acting per unit length of an

    imaginary line drawn to surface of liquid.

    S.I. unit is N/m

    Q State the effect of temperature and contamination on surface

    tension of liquid

    Ans: Effect of temperature: The surface tension of the liquid depends on

    temperature. Surface tension decreases with increase in temperature

    Surface tension 1 / temperature

    Effect of Contamination (impurity)

    In most of the liquid surface tension decreases with increase in

    contamination

    Surface tension 1 / Contamination

    QDefine cohesive & adhesive force

    Ans : Cohesive force :It is the force of attraction between two molecules of

    same substance

    ExForce of attraction between two water molecules

    Adhesive force: It is the force of attraction between two molecules of

    different sub stances

    ExForce of attraction between water moleculeand glass molecule

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    QState the applications of surface tension

    Ans: Application of surface tension

    1.

    For manufacturing of bullets or ball bearings which are spherical2.

    Oil with low surface tension are used as lubricants, in soap or

    detergents

    3. Water rises up to the leaves of plants due to capillary action

    4. Oil rises up in wick in oil lamp by capillary action

    5. To check purity of water

    QDefine angle of contact. State its S.I. unit

    Ans : Angle of contact :The angle between the tangent to the liquid surface

    at the point of contact & the solid surface inside the liquid is called as angle

    of contact.The S.I. unit of angle of contact is radian

    QDefine Capillarity. Give examples of capillary phenomenon (Action)

    Ans : Capillarity : The rise or fall of the liquid in capillary tube due to

    surface tension is called as capillarity & the phenomenon is called as

    capillary action

    Examples of capillary action

    1.

    Oil rises up to the end of wick of lamp due to capillarity

    2. A blotting paper absorb ink due to capillarity

    3. Rise of ink through pen nib

    4. Water rises from stem of tree towards the branches by capillary action

    5. Damping of bricks

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    QExplain Laplaces molecular theory of surface tension

    Ans: Diagram

    Explaination:

    Laplaces molecular theory of surface tension

    1. Consider three molecules M1, M2 & M3 of the liquid. A sphere of

    influence is drawn as shown in fig.

    2. The sphere of influence of molecule M1 is completely inside the

    liquid, so it is equally attracted in all directions by the other molecules lying

    within its sphere. Hence the resultant force acting on it is zero.

    3.

    The part of the sphere of influence of molecule M2 lies outside the

    liquid & the major part lie inside the liquid. Therefore resultant force acting

    on it is directed downward.

    4.

    For molecule M3half of its sphere of influence lies inside the liquid

    and half lies outside the liquid. So, the maximum resultant downward force

    is acting on molecule M3

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    5.

    Thus molecule M1 experiences zero resultant force, M2 experience

    downward resultant force, M3experience more downward resultant force. In

    short moleculesbelow imaginary line PQ experience zero resultant force

    and moleculesaboveline PQ experience some or more downward resultant

    force.

    6. Thus molecules which lie on the surface of liquid (surface film)

    experience downward resultant force and are being pulled inside the liquid.

    To balance this downward force, molecules come closer to each other. This

    reduces the surface area of liquid.

    7. This gives rise to surface tension. It is the contraction force which

    decreases the surface area of the liquid.

    Q State the relation between surface tension, capillary rise, radius of

    capillary tube with meaning of symbol used in it.

    Ans : Relation between surface tension, capillary rise and radius of

    capillary tube

    T = rhdg / 2 cos

    Where, T = Surface tension

    r = radius of capillary tube

    h = rise of liquid

    d = density of liquid

    g = gravitational acceleration

    = angle of contact

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    QDerive an expression for surface tension by capillary rise method.

    Ans: Consider a capillary tube of radius r vertically inserted into a liquid.

    The liquid rises to a height h and forms a concave meniscus. The surface

    tension T acting along the inner circumference of the tube exactly supports

    the weight of the liquid column.

    By definition, surface tension is the force per unit length acting at a tangent

    to the meniscus surface. If the angle between the tangent & the tube wall is

    , the vertical component of surface tension is cos .

    Therefore, the total surface tension along the circular contact line of

    meniscus is 2 r T cos .

    Upward force = 2 r T cos .Where,r is the radius of the capillary.

    The downward force on the liquid column is due to its weight which is

    m x gthus,

    Downward Force = m x g

    Downward Force = r2h d g

    At equilibrium condition,

    Upward Force = Downward Force

    2 rT cos = r2 d g

    r h d g

    T =

    2 cos

    This is a expression for surface tension of a liquid in a capillary tube.

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    CHAPTER3

    Thermal Properties of Matter

    Modes of Transformation of Heat

    QDefine Heat & Calorie

    Ans: Heat : Heat is a form of energy which gives us the sensation of

    warmness and hotness. S. I. unitJoule

    Calorie: The amount of heat required to increase the temperature of one

    gram of water by one degree Celsius is called as calorie

    S.I. unit0K

    QDefine absolute zero temperature

    Ans: Absolute zero temperature: The temperature at which pressure &

    volume of gas theoretically becomes zero is called absolute zero

    temperature

    Absolute zero temperature = O0A = - 273

    0C

    QWhat is kelvinscale of temperature?

    Ans: In this scale, the lower fixed point is 2730C & upper fixed point is

    3730C& it is then divided into 100 equal Parts, each part is called as degree

    Kelvin.

    QDefine Celesius (centigrade) scale of temperature

    Ans : In this scale of temperature, lower fixed point is considered as 00Cand

    upper fixed point as 1000Cand it is then divided into 100 equal parts, each

    part is called as degree Celsius or centigrade.

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    QDefine Fahrenheit scale of temperature

    Ans : In this scale of temperature, lower fixed point is 320Fand upper fixed

    point is 2120

    Fand it is then divided into 180equal parts, each part is called

    as degree Fahrenheit.

    QState & explain the modes of transmission of heat OR

    Define three modes of transmission of heat with examples OR

    State the three ways in which heat is transferred from one place to

    another with one example of each.

    Ans :Conduction :It is the process of transfer of heat from a part of body at

    higher temperature to a lower temperature without actual movement of

    particles of medium

    Ex:Heat sink in electronic circuits, safety lamps, ICE boxes etc.

    Convection:It is the process of transfer of heat from a part of body at higher

    temperature to a part of body at lower temperature with actual movement of

    particles of medium.

    Ex:Formation of trade winds, Room ventilation system, monsoons etc.

    Radiation:In this process, heat is transferred directly from a body at higher

    temperature to the body at lower temperature without necessity of

    intervening medium

    Ex:Use of white clothes, heat radiators in car, in activation of HIV etc.

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    Q Distinguish between conduction, convection & radiation process.

    Ans:

    Conduction Convection Radiation1. It is the process of

    transfer of heat from a

    part of a body at

    higher temperature to

    a part of body at lower

    temperature without

    actual movement of

    particles.

    1. It is the process of

    transfer of heat from a

    part of a body at

    higher temperature to

    a part of body at lower

    temperature with

    actual movement of

    particles.

    1.It is the process of

    transfer of heat from a

    body at higher

    temperature to a body at

    lower temperature

    without necessity of

    intervening medium

    2. If metal rod is

    heated at one end, its

    other end gets heated.

    2. Heating of water in

    a beaker.

    2. Heat from sun reaches

    the earth

    3. Material medium is

    essential.

    3. Material medium is

    essential.

    3. Material medium is not

    essential.

    4. Metal rod itself acts

    as a medium.

    4. Liquid itself acts as

    a medium.

    4. Medium may be

    present like air or no

    medium. i.e. vacuum.

    5. It has applications

    likeHeat sink in

    electronic circuits,

    Safety lamp, Ice boxes

    etc

    5. It has applications

    like- formation of

    trade winds, room

    ventilation system,

    monsoons etc.

    5. It has applications like-

    use of white clothes, heat

    radiators in car, in

    activation of HIV etc

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    QState the law of thermal conductivity

    Ans: The amount of heat (Q) conducted is,

    Directly proportional to area of cross section of the rod (A)

    Q A ------------(1)

    Directly Proportional to the temperature difference between the two

    surfaces of the conductor

    Q

    (1 - 2) ------------(2)

    Directly Proportional to the time for which heat flows

    Q T ------------(3)

    Inversely Proportional to the distance between two surfaces

    Q 1/d ------------(4)

    Q A/d (1 - 2) t

    Q = k A (1 - 2) t / d

    QDefine coefficient of thermal conductivity. State its S.I. unit.

    Ans :Coefficient of thermal conductivity is defined as the amount of heat

    conducted normally across unit cross sectional area of a material of unit

    thickness in one second, when the temperature between its ends is unity

    S. I. unitJoule / mok

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    QState application of

    1. Conduction of heat

    2.

    Convection of heat

    3.

    Radiation of heat

    Ans: Applications of Conduction:

    1. Good conduction material is used as a heat sink in electronic circuit

    2. Use of thermos Flask

    3. Condenser coil in a refrigerator is ideally made up of copper

    4.

    Davys safety lamp

    5.

    A bad conducting material like thermocole is used in ice box.

    6. Handle of cooker is made up of bad conducting material

    Applications of Convection:

    1.

    Ventilation in the Room

    2.

    Cooling system in automobile engine

    3.

    Formation of land & sea breeze in the nature

    4. Formation of trade winds

    5.

    Gas filled coiled electric lamp

    6. Monsoons

    Applications of Radiation:

    1.

    Electric bulb, the sun

    2. White clothes absorb less heat so they are used is summer

    3.

    The teapot & kettle have clean & bright shining surface

    4. Aeroplanes & ships are painted white.

    5. Base of cooking utensils is made black.

    6.

    Heat radiators in car, machines are painted black

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    QDefine good conductor & bad conductor with examples.

    Ans : Good conductor :The material which conduct heat easily from it is

    called as good conductor

    Ex:Iron, Copper, Silver

    Bad conductor:The material which does not conduct heat easily from it is

    called as bad conductor.

    Ex:Wood, Wool, Glass, Thermocole

    Q Why we do not receive heat from the sun by conduction. Give

    reason.

    Ans: Conduction needs medium for transfer of heat. Between the sun and

    earth the millions of kilometres there is no medium present. Hence

    conduction is not possible

    Q - Distinguish between heat and temperature

    Heat Temperature

    Heat is form of energy which gives

    sensation of hotness and warmness

    S.I. Unit Joule

    Temperature is the measure of

    degree of hotness or coldness of a

    body S.I. UnitKelvin

    Heat is the cause Temperature is the effect

    Heat flows from higher

    temperature to lower temperature

    Temperature is the condition that

    determines the direction of flow of

    heat

    Heat is an extensive property Temperature is intensive property

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    Gas laws

    QDefine three gas law OR

    State Boyles law, Charlesslaw and Gay Lussacs law

    Ans: Boyles law:At constant temperature, volume of given mass of a gas

    is inversely proportionalto its pressure

    i.e. V 1/p

    i.e. P1 / V1= P2 / V2= Constant, at constant temperature

    Charles law: At constant pressure volume of given mass of a gas is

    directly proportionalto its absolute temperature

    i.e. V T

    i.e. V1 / T1= V2 / T2= Constant, at constant pressure

    Gay Lussacslaw: At constant volumepressure of given mass of a gas is

    directly proportional to its absolute temperature

    i.e. P T

    i.e. P1 / T1= P2 / T2= Constant, at constant volume

    QDefine specific heat of substance.

    Ans: It is defined as the amount of heat required to increase the temperature

    of 1kg mass of a substance through 10C

    S.I. UnitJkg-1

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    QDefine the two principal specific heats of gas OR Define Cp and Cv

    OR Define specific heat of a gas at constant volume & at constant

    pressure

    Ans: Specific heat of a gas at constant volume (Cv):It is defined as the

    amount of heat required to increase the temperature of unit mass of a gas by

    10C at constant volume

    Specific heat of a gas at constant pressure (Cp):It is defined as the

    amount of heat required to increase the temperature of unit mass of a gas by

    10

    Cat constant pressure

    QState ORDerive General (Perfect) gas equationwith meaning of eachsymbol

    Ans: According to Gay Lussacs law

    P T ------------------- (1)

    According to Charles law,

    V T --------------- (2)

    Combining equation (1) & (2)

    PV T

    PV = RT--------- (3)

    Where RUniversal gas constant

    PPressure of gas

    VVolume of gas

    TAbsolute temperature

    Eqn(3) is called general (perfect) gas equation

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    QDefine isothermal change & adiabatic change

    Ans: Isothermal change: The Process in which volume of a gas changes

    keeping its temperature constant is called as isothermal change

    Adiabatic change: The process in which volume of a gas changes with

    change in temperature is called as adiabatic change

    QDifferentiate between isothermal and adiabatic process

    ISOTHERMAL PROCESS ADIABATIC PROCESS

    Volume & pressure changes at

    constant temperature

    Volume & pressure changes at

    changing temperature

    Gas filled in is a good conductor

    of heat

    Gas filled in is a bad conductor

    of heat.

    Transfer of heat takes place. There is no transfer of heat.

    Volume changes are made

    slowly

    Volume changes are made

    rapidly

    Gas obeys Boyles law i.e.

    PV =constant

    Gas does not obeys Boyles law

    Here PV r = constant

    Expansion of gas takes place Compression of gas takes place

    Ex.Boiling of water Ex.Bursting of cycle tyre

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    QWhy Cp is greater than Cv?

    Ans :(1) When gas is heated at constant volume the heat supplied is utilized

    to increase the temperature of the system

    (2) But when gas is heated at constant pressure, the heat supplied is utilized

    to increase the temperature of system as well as for doing the work in

    expanding a gas at constant pressure

    So, Cp> Cv

    Q State the relation between the two specific heats of gas give the

    meaning of symbols used in it

    Ans: Relation: CpCv = R/J

    Where, Cp-Specific heat of gas at constant pressure

    Cv-Specific heat of gas at constant volume

    R- Universal gas constant

    J-Joules constant

    QDerive Mayers relation OR Derive the relation Cp - Cv=R/J

    Ans:When the gas is heated at constant pressure, the internal energy (K.E.)

    of the gas increases, and the gas expands, so that it performs some external

    work in expansion of the gas.

    i.e. Cp= CV + H

    Cp- CV = H

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    But H = W/J [Joules law]

    Cp- CV = W/J

    But W = P (V2-V1)

    Cp- CV = P (V2-V1) /J

    Cp- CV = (PV2-PV1) /J

    But PV1 = RT1& PV2= RT2

    Cp- CV = R (T2-T1) /J

    Now if T2 - T1= 10C

    Cp- CV=R/J

    This is the Mayers relation for one mole of gas

    QWhat is NTP and STP ?

    Ans: NTP means normal temperature and pressurewhereas STP means

    standard temperature and pressure

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    CHAPTER4

    OpticsRefraction of Light

    QDefine

    1) Critical Angle (Qc)

    2) Total Internal Reflection

    Ans: (1) Critical angle: The angle of incidence for which the angle of

    refraction is equal to 900C is called as critical angle.

    (2) Total Internal Reflection: The phenomenon in which a ray of light

    travelling from denser medium to rarer medium is totally reflected in denser

    medium, if the angle of incidence is greater than critical angle of medium is

    called as total internal reflection (TIR)

    QDefine

    1. Numerical Aperture (NA)

    2. Acceptance Angle (a)

    Ans: Numerical Aperture (NA):The sine of maximum acceptance angle is

    called as numerical aperture

    Acceptance angle (a) :The maximum value of external incident angle for

    which light will propagate in the optical fibre is called as acceptance angle.

    Q - Define refraction of light

    Ans: When a ray of light travels from one medium to another it deviates

    from its original path is called as refraction of light

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    Q Draw a neat labelled ray diagram for refraction in case of prism.

    State the prism formula with meaning of each terms used OR

    QDerive Prism formula

    Ans: Diagram

    Let PQ be the incident ray obliquely incident on refracting face AB. At point

    Q the ray enters from air to glass therefore at Q the incident ray is refracted

    and travels along QR by making r1as angle of refraction.

    At point R the ray of light enter from glass to air and get refracted along RS.

    From E Q R

    = x + y

    = (i-r1) + (e-r2)

    = ( i + e) - (r1+ r2) -----(1)

    From Q D R

    r1 + r2 + QDR=1800

    -------------(2)

    As AQDR is cyclic quadrilateral

    A + QDR=1800

    -----------------------(3)

    By comparing eq. (2) and (3)

    A = r1 + r2 ---------------------------(4)Substituting above value in eq.(1)

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    Eq. (1) becomes

    = ( i+e)-A

    + A = ( i+e)--------------(5)

    If = m

    i =e

    And r1 = r2 =r

    Equation (5) Becomes

    A + m = i + i

    A + m = 2i

    A + m

    i =

    2

    And equation (4) becomes

    A = r + r

    A = 2r

    Ar =

    2

    According to snells law

    sin i

    =

    sin r

    Substituting values of i and r in above equation

    Sin A + m

    2 Where, m = Angle of minimum deviation

    = A = Angle of prism

    Sin A / 2 = Refractive index of prism

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    QState Snells law with its mathematical equation

    Ans : Snells law :For any two media the ratio of sine angle of incidence to

    the sine angle of refraction is constant.

    This is known as Snells law

    Equation:

    Sin i

    = Constant

    Sin r

    Where, Sin i = angle of incidence

    Sin r = angle of refraction

    QState laws of refraction

    Ans: 1.Incident ray and refracted ray are on opposite side of the normal

    2.The incident ray,the refracted ray and the normal ray at point of separation

    of two media lie in the same plane.

    3.For any two media the ratio of sine angle of incidence to the sine angle of

    refraction is constant.This is known as Snells law

    Q- State the principle of optical fiber

    Ans: The optical fiber works on principle of Total Internal Reflection

    i.e. when monochromatic light is obliquely incident on the interface

    between optically denser medium and rarer medium and if angle of incidence

    is greater than critical angle then no refraction take place and only reflection

    take place.

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    Q - Describe the stucture of optical fiber.

    Ans: Optical fiber consists of three major parts

    1.

    Core: The inner most co-axial region is core. It acts as the guide

    for the light. The diameter of the core is 10-100m. It is made up of

    glass having high refrative idex.

    2. Cladding: The core is surrounded by a glass or plasticcladding. Its

    refractive index is lessthan that of the core.

    3. Sheath(polymer jacket): The outermost protective regionof the

    fiber is called sheath. It is made up of polymer. It protects the core

    from contamination, moisture etc. It provides mechanical

    strengthto the fiber.

    Q - Derive the expression showing the relation between numerical

    aperture and acceptance angle.

    Ans: As shown in fig.

    A light ray launched into an optical fiber in air at an input angle less

    than the acceptance angle for the fiber

    Applying snells law at the air-core interface.

    sin i / sin r = 2/ 1 i.e. 1sin i = 2sin r ---(1)

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    but from fig.

    sin / sin (90 c) = core / air

    airsin = coresin (90 c)

    sin = coresin (90 c) ( air =1)

    sin = core cos c [ cos c = sin ( 90- c)]

    sin = core 2 c)

    2

    sin = core 1- cladding

    core

    sin2

    core -2

    cladding = NA

    This is the relation between Acceptance angleand Numerical

    Aperture.

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    CHAPTER5

    Wave Motion

    QDefine

    1. Amplitude (a)

    2. Period (wave period) OR Time Period (T)

    3.

    Frequency (n)

    4. Velocity (V)

    Ans: 1. Amplitude (a) : The maximum displacement of a particle of the

    medium from its mean position on either side is called as amplitude of the

    wave

    2. Wave period (T):The time taken by a wave to complete one oscillation is

    called as wave period.

    3. Frequency (n) :It is the number of vibration, performed by the particle in

    one second

    4. Wavelenght:It is the length of one full wave OR

    The distance travelled by the wave to complete one vibration or oscillation is

    called as wavelength

    5. Velocity (V): The distance travelled by the wave per unit time is called as

    velocity of the wave.

    QState the relation between velocity, frequency & wavelength

    Ans : Relation: V = n

    Where, V = Velocity

    n = Frequency = Wavelenght

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    QDefine simple harmonic motion. Give examples of SHM

    Ans: It is defined as the periodic motion of a particle in which the force is

    always directed toward mean position & its magnitude is proportional to its

    displacement from mean position.

    Examples of simple harmonic motion

    1. Motion of pendulum

    2. Motion of needle of sewing machine

    3. Oscillations of spring

    4.

    Vibration of string

    5.

    Oscillations of piston in a cylinder

    6. Oscillations of magnetic compass ( needle )

    QDefine Phase angle & Epoch in S.H.M.

    Ans: Phase angle: The angle which gives position, direction and

    displacement of the particle in S.H.M at any instant is known as phase angle.

    Epoch:Initial phase angle or starting phase is known as epoch

    QDefine Longitudinal waves & Transverse wave with example. OR

    Define progressive wave state type of progressive wave. Define the type.

    Explain two types of progressive wave.

    Ans: Progressive wave: The wave which continuously travels in a given

    direction is called as progressive wave.

    There are two types of progressive wave

    1.

    Transverse wave2.

    Longitudinal Wave

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    Transverse wave: The waves in which particles of the medium vibrate

    perpendicular to the direction of propagation of the wave are called as

    transverse wave.

    Ex Light waves, electromagnetic waves, vibration produced by streched

    string of sitar, violin, sonometer

    Longitudinal Wave:The waves in which particles of the medium vibrate

    parallel to the direction of propagation of the wave are called as longitudinal

    wave.

    Ex - Sound wave, waves in organ pipe, waves set in kundts tube

    QDistinguish between Transverse wave & Longitudinal wave

    Transverse Wave Longitudinal Waves

    The wave in which direction of

    vibration of particles of medium isperpendicular to the direction of

    propagation of wave is called

    transverse wave.

    The wave in which direction of

    vibration of particles of mediumis parallel to the direction of

    propagation of wave is called

    longitudinal wave.

    Wave travels in form of alternate

    crests and trough

    Wave travels in form of alternate

    compressions and rarefactions.

    Density and pressure of medium

    remain same throughout the wave

    Density and pressure of medium

    changes.

    Wave travels through solid only. Wave travels through liquids and

    gases.

    Ex. Light waves Ex. Sound waves

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    These wave can undergo

    polarization

    These wave do not undergo

    polarization

    QDistinguish between progressive waves and stationary waves

    Ans:

    Progressive waves Stationary waves

    There is transfer of energy in

    the direction of propogation ofwave.

    There is no transfer of energy.

    All particles vibrate with the

    same amplitude.

    All particles vibrate with

    different amplitude.

    All particles of the medium are

    vibrating.

    Particles at nodes do not vibrate

    at all.

    Every particle vibrates with

    different phase.

    Velocity of wave not zero

    All the particles in one loop are

    in same phase.

    Velocity of wave is zero

    QState superposition principle (theorem)

    Ans: Superposition theorem: When two or more waves travelling through

    a medium arrive at a point simultaneously, each wave produces its own

    displacement at that point independently of the other wave. Hence, the

    resultant displacement at that point is the vector sum of the displacements

    due to each of the waves.

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    QState how stationary waves is formed OR Define stationary waves

    Ans: Stationary waves are produced when two exactly identical progressive

    waves having same amplitude, same wave length & same speed travelling

    through a medium along the same path in exactly opposite directions,

    interfere with each other. The resultant wave produce due to super positions

    of these two waves is called as stationary wave.

    Q Give the condition for Resonance effect in sound OR Define

    Resonance ORWhat is resonance effect

    Ans :Condition for resonance effect:When the frequency of the external

    periodic force applied to a body is exactly equal to natural frequency of

    body, the body vibrates with maximum amplitude, then resonance effect

    takes place & the phenomenon is known as resonance

    QGive two examples of Stationary waves

    1. Wave formed on the string stretched at both the ends

    2. Waves formed on sonometer wire

    3. Waves formed in air column of resonance tube

    QGive two examples of Resonance1. When the speed of a car increases beyond a certain limit different parts

    of the car begin to vibrate due to resonance & large noise is produced.

    2. In a sonometer, resonance occurs when the natural frequency of the

    vibrating length of the wire equals the frequency of the tuning fork

    3. In Resonance tube experiment, resonance occurs when the length of

    the air column is adjusted such that the natural frequency of the air column

    equals the frequency of the vibrating tuning fork

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    QState the characteristics ( Properties ) of stationary waves

    Ans : Characteristics of stationary waves

    1.Nodes and antinodes are formed alternately.

    2.

    There is no transfer of energy.

    3. Pressure is maximum at nodes and minimum at antinodes.

    4.

    Distance between any two consecutive nodes or antinodes is equal to

    / 2

    5. The distance between a node and its adjacent antinodes is equal to / 4

    6. Particles in the same loop vibrate in the same phase.

    7.

    Particles in the adjacent loop vibrate in the opposite phase.

    QDefine free vibration & forced vibration with examples

    Ans: Free vibrations (oscillations): The vibrations performed by a body

    when only once disturbed from its equilibrium position and vibrates with a

    natural frequency are called free vibrations.

    Examples:

    1.Cricketers hanging ball

    2. Vibrating tuning fork

    3. Vibrations of air column

    Forced vibration (oscillations): When a body is continuously disturbed by

    a periodic force, then the particle cannot vibrate with its natural frequency

    but it starts vibrating with the frequency of periodic force. These vibrations

    are called forced vibrations.

    Examples:

    1. Concrete bridge in earth quake

    2. Vibrations of air column under vibrating tuning fork3. Kid swinging after applied external periodic force.

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    Q Derive equation of simple harmonic motion OR Obtain an

    expression for motion of a particle performing SHM.

    Ans: Cosider a particle P moves with a uniorm angular velocty along a

    circular path of radius a. Let M be the projection of referenceparticle Pon diameter AB. Therefore M is performing S.H.M. Let the

    displacement of M from O is x, then t = 0, the reference point is at

    Po

    So that, m < POPo=

    In time t, reference particle moves from Poto P.

    Such that, m < POPo= = t

    Draw PM on diameter AB.

    Since, OC is parallel to PM

    < OPM = < POC = ( t + )

    From fig, in OPM

    Sin ( + ) = x/a

    i.e. x = a sin ( t + )

    This is equation of particle performing simple harmonic motion

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    Q - Which is more elastic steel or rubber? Why? OR Why steel is more

    elastic than rubber?

    Ans: Steel is more elastic than rubber. Because steel comes back to its

    original shape faster than rubber when the deforming force is removed

    Q - State the factors affecting angle of contact of liquid/fluid OR On

    what factors angle of contact depend?

    Ans:Nature of liquid, nature of solid, purity of liquid and cleanness of liquid

    are the factors affecting angle of contact of liquid

    Q - Give the significance of angle of contact

    Ans: Significance of angle of contact

    1.

    In case of water in glasscontainer, is acutebecause force of adhesion

    is stronger than cohesion

    2.In case of mercury in glass container, is obtusebecause force of

    cohesion is stronger

    3.If liquid completely wetthe solid then = 0

    4.

    If liquid does not wetthe solid then is obtuse

    5.If liquid wetthe solid then is acute

    Q - Define rigidity

    Ans: The property on account of which a body does not change its shape and

    size even when a large force is applied on it is called as rigidity

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