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Question 1.

In the decomposition of of 0.1 mole and 4.0 g MgO are obtained. Hence, percentage purity of MgCO3 is:

[A] 50%[B] 60%[C] 40%[D] 84%

Question 2.Which of the following are iso­electronic with ?

I. II. III. IV.

The correct choice is :

[A] I, II[B] I, II, IV[C] II, IV[D] I, II, III, IV

Question 3.

Al and react together to form according to following equations:

;

How many moles of are formed starting with 4.0 moles of (which is 50% pure) on reaction with excess of Al ?

[A] 2 mol[B] 4 mol[C] 6 mol[D] 8 mol

Question 4.0.5 mole of is mixed with 0.2 mole of . The maximum number of moles of barium phosphate formed in thisreaction is :

[A] 0.1[B] 0.2[C] 0.3[D] 0.5

Question 5.

In the reaction: ; the mass of carbon that will be used up in forming 11.2 L of CO at NTP is :

[A] 0.6 g[B] 6 g[C] 12 g[D] 24 g

Question 6.

For the reaction: ; the volume of carbon monoxide required at STP to reduce one mole of ferric

oxide is :

[A]

[B]

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[C]

[D]

Question 7.The Oxidation state of P in are respectively :

[A][B][C][D]

Question 8.In which of the following reaction, the oxidation number of Cr has been changed ?

[A]

[B]

[C]

[D]

Question 9.

0.05 mole of a sample of is neutralised by a certain sample of This sample can be completely

neutralised by :

[A] 0.05 mol of NaOH[B] 0.10 mol of NaOH[C] 0.05 mol of

[D] Both (B) and (C)

Question 10.

In the given redox reaction : . 1 mole of will oxidise

[A] 1 mole of

[B] 3 moles of

[C] 4 moles of

[D] 6 moles of

Question 11.Equivalent weights of in acidic medium, concentrated alkaline medium and the dilute basic medium respectively are :

. The reduced products can be :

[A]

[B]

[C]

[D]

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Question 12.

For a titration of of a 0.1 M of solution was required. The oxidation state of cerium

in the reduction product is :

[A] + 1[B] + 2[C] + 3[D] 0

Question 13.

In the given redox reaction:

The number of moles of reduced by 1 mol of is :

[A] 1[B] 2[C] 3[D] 4

Question 14.The molarity of ion in a mixture containing 100 mL of 0.1 M and 200 mL of 0.1 H3PO3 is :

[A] 0.1 M[B] 0.2 M[C] 0.267 M[D] 0.133 M

Question 15.

3 moles of a mixture of and required 100 mL of 2 M solution in acidic medium. Hence, mole

fraction of in the mixture is :

[A]

[B]

[C]

[D]

Question 16.Moles of (potassium acid oxalate) required to reduce 100 mL of 0.02 M in acidic medium (to ) is :

[A] 0.002[B] 0.005[C] 0.001[D] 0.007

Question 17.Of the following elements, which element has the highest first Ionization energy ?

[A] N[B] Ne[C] He[D] H

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Question 18.Fluorine is more electronegative than nitrogen. The best explanation for this fact is :

[A] The valence electrons in F are on the average, a little closer to the nucleus than in N[B] The charge on a F nucleus is + 9, while that on N nucleus is + 7[C] The valence electrons in F and N are in different shells and thus their energies are greatly different[D] Electronegativity increases from left to right in each of the period

Question 19.Electron affinity is positive when :

[A] is formed from O

[B] is formed from

[C] is formed from O[D] Electron affinity is always a negative value

Question 20.Which of the following electronic transitions required that the greatest quantity of energy be absorbed by a hydrogen atom?

[A] n = 1 to n = 2[B] n = 2 to n = 4[C] n = 3 to n = 6[D] n = 1 to n =

Question 21.

Given this set of quantum numbers for a multi­electron atom 2, 0, 0, and 2, 0, 0 , . What is the next higher allowed set of n and

quantum numbers for this atom in its ground state ?

[A] n = 2, = 0[B] n = 2, = 1[C] n = 3, = 0[D] n = 3, = 1

Question 22.Which is a possible set of quantum numbers for a valence electron in ground state atom of phosphorus (Z = 15) ?

[A]

[B]

[C]

[D]

Question 23.The orbital angular momentum of an electron in 2s orbital is :

[A]

[B] zero

[C]

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[D]

Question 24.Bohr modal can explain the spectrum of :

[A] The hydrogen atom only[B] An atom or ion having one electron only[C] The hydrogen molecule only[D] The sodium atom only

Question 25.If the radius of first Bohr orbit is x, then de­Broglie wavelength of electron in 3rd orbit series of is :

[A][B][C][D]

Question 26.The number of nodal planes in a orbital is :

[A] One[B] Two[C] Three[D] Zero

Question 27.

When a certain metal (threshold frequency: ) was irradiated with a light of frequency Hz, the photo

electron emitted has n­times the kinetic energy as did photo electrons emitted when the same metal was irradiated with light of frequency Hz. What is the value of n ?

[A] 3[B] 1/3[C] 1[D] 9

Question 28.

The hybridization of carbon atom is :

[A]

[B]

[C]

[D]

Question 29.The enthalpy change for a reaction does not depend on the :

[A] Physical state of reactants and products[B] Use of different reactants for the same product[C] Nature of intermediate reaction steps[D] Difference in initial or final temperature of involved substances

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Question 30.

The element with the electronic configuration as represent a :

[A] Metal[B] Non­metal[C] Metalloid[D] Transition element

Question 31.The velocity­time graph of a body is shown in the figure. The ratio of magnitude of average acceleration during the intervals OA and AB is:

[A] 1[B] 1/2[C] 1/3[D] 3

Question 32.The velocity time graph of a body is shown in the figure. It indicates that :

[A] At B force is zero[B] At B there is a force but towards motion[C] At B there is a force which opposes motion[D] At 'B' there is a force which opposes motion

Question 33.Three light strings are connected at the point P. A weight W is suspended from one of the string. End A of the string AP and end B of thestring PB are fixed as shown. In equilibrium, PB is horizontal and PA makes an angle of with the horizontal. If the tension in PB is30 N, then the tension in PA and weight W are respectively, given by :

[A] 60 N; 30 N[B]

[C] 60 N ;

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[D]

Question 34.

Two blocks of masses 0.2 kg and 0.5 kg, which are placed 22 m apart on a rough horizontal surface are acted upon by

two forces of magnitude 3 N each as shown in figure at time t = 0. Then, the time t at which they collide with each other is :

[A] 1 s[B] 2 s[C]

[D]

Question 35.

A coin is placed at the edge of a horizontal disc rotating about a vertical axis through its axis with a uniform angular speed

The radius of the disc is 50 cm. Find the minimum coefficient of friction between disc and the coin so that the coin does not slip

[A] 0.1[B] 0.2[C] 0.3[D] 0.4

Question 36.A stone is dropped from the 25th storey of a multistoried building and it reaches the ground in 5s. In the first second, it passes through

how many storey of the building?

[A] 1[B] 2[C] 3[D] 4

Question 37.

For motion of an object along the x­axis, the velocity v depends on the displacement x as then what is the acceleration

at x = 2 m.

[A]

[B]

[C]

[D]

Question 38.

Two cars are moving in same direction with speed of They are separated by a distance of 5 km. What is the speed of a

car moving in opposite direction if it meets the two cars at an interval of 4 min?

[A]

[B]

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[C]

[D]

Question 39.If two balls of same density but different masses are dropped from a height of 100 m, then (neglect air resistance) :

[A] Both will come together on Earth[B] Lighter will come earlier on the Earth[C] Heavier will come earlier on Earth[D] None of these

Question 40.The magnitude of displacement is equal to the distance covered in a given interval of time if the particle :

[A] Moves with constant acceleration along any path[B] Moves with constant speed[C] Moves in same direction with constant velocity or with variable velocity[D] Moves with constant velocity

Question 41.A stone thrown upwards with speed u attains maximum height h. Another stone thrown upwards from the same point with speed 2uattains maximum height H. What is the relation between h and H?

[A] 2h = H[B] 3h = H[C] 4h = H[D] 5h = H

Question 42.

A vector perpendicular to is :

[A]

[B]

[C]

[D]

Question 43.

Given and Which of the following is incorrect?

[A]

[B]

[C]

[D] and are parallel

Question 44.A flag is mounted on a car moving due North with velocity of 20 km/hr. Strong winds are blowing due east with velocity of 20 km/hr. Theflag will point in direction

[A] East[B] North­East[C] South­East[D] South­West

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Question 45.

Two vectors have magnitudes of 4 and 6 units and the angle between them is . What is the magnitude of ?

[A]

[B]

[C][D] None of these

Question 46.A stone is dropped from a certain height which can reach the ground in 5 sec. It is stopped after three seconds of its fall and then is againreleased. The total time taken by the stone to reach the ground will be :

[A] 6 s[B] 6.5 s[C] 7 s[D] 7.5 s

Question 47.

Velocity of a particle (v) varies with the position of the particle (x) as : , acceleration­position curve of a particle is

:

[A] A straight line with positive slope[B] Parabola opening upward[C] A straight line with negative slope[D] Parabola opening downward

Question 48.

If a vector is perpendicular to the vector , then the value of is :

[A]

[B]

[C]

[D] 1

Question 49.A projectile is thrown into space so as to have the maximum possible horizontal range equal to 400 m. Taking the point of projection asthe origin, the co­ordinates of the point where the velocity of the projectile is minimum are :

[A] (400, 100)[B] (200, 100)[C] (400, 200)[D] (400, 200)

Question 50.Time taken by the projectile to reach from A to B is t. Then the distance AB is equal to :

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[A]

[B]

[C][D] 2ut

Question 51.In uniform circular motion which of the following quantities remains constant during the motion :

[A] Acceleration[B] Velocity[C] Magnitude of acceleration[D] Magnitude of acceleration

Question 52.The velocity at the maximum height of a projectile is half of its initial velocity u. Its range on the horizontal plane is :

[A]

[B]

[C]

[D]

Question 53.

The equation of a projectile projected from horizontal ground is . Which of the following is incorrect

[A] Angle of projection

[B] Range,

[C] Maximum height of projectile,

[D] Initial velocity,

Question 54.An elevator in which a man is standing is moving upwards with a speed of 10 m/s. If the man drops a coin from a height of 2.45m from the

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floor of elevator, it reaches the floor of the elevator after a time (g = 9.8 m/s2)

[A]

[B]

[C] 2s

[D]

Question 55.A large number of bullets are fired in all direction with the same speed v. What is the maximum area on ground on which these bullets canspread?

[A]

[B]

[C]

[D] None

Question 56.An aeroplane flying at a constant velocity releases a bomb. As the bomb drops from the aeroplane, (ignore Air resistance)

[A] It will always be vertically below the aeroplane[B] It will always be vertically below the aeroplane only if the aeroplane is flying horizontally[C] It will always be vertically below the aeroplane only if the aeroplane is flying at an angle of 45o to the horizontal[D] It will gradually fall behind the aeroplane if the aeroplane is flying horizontally.

Question 57.The potential energy function associated with the force between two atoms in a diatomic molecule may be approximated as follows :

where c and d are positive constant and x is the distance between the atoms

Find the force F (x) between the atoms

[A]

[B]

[C]

[D]

Question 58.A ball drops from the ceiling of the room, and after rebounding twice from the floor, reaches a height equal to half that of ceiling. Find thecoefficient of restitution.

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[A]

[B]

[C]

[D]

Question 59.Two small spherical balls of masses m1 = 2 kg and m2 = 10 kg move towards each other from rest due to mutual gravitational attraction.The initial distance between them is d = 12 m. Find the point where they will collide.

[A] 9 m[B] 20 m[C] 10 m[D] 15 m

Question 60.A particle is given an initial speed u inside a smooth spherical shell of radius R = 1 m that it is just able to complete the circle. Accelerationof the particle when its velocity is vertical is :

[A][B] g[C]

[D]

Question 61.

If three points (a, 0) (0, b) and (1, 1) are collinear then the value of is:

[A] ­1[B] 1[C] 2[D] ­2

Question 62.

The range of the function is :

[A]

[B]

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[C]

[D] None of these

Question 63.The lines and are diameters of a circle of area 154 sq. units. Then the equation of the circle is:

[A]

[B]

[C]

[D]

Question 64.

The diagram shows the graph of . Then,

[A][B][C][D] None of these

Question 65.

The equation of one of the tangents drawn to the circle from the point (0, 1) is :

[A]

[B]

[C]

[D]

Question 66.The distance of line from the origin is:

[A]

[B]

[C]

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[D]

Question 67.

The domain of the function is :

[A]

[B]

[C]

[D]

Question 68.The points on that lie at a unit distance from the line are:

[A] (5, ­1)[B] (­7, 11)[C] (1, 3)[D] (6, ­2)

Question 69.

The least integral value of 'k' for which for all , is:

[A] 5[B] 2[C] 3[D] None of these

Question 70.

If is a tangent to , then the equation of the tangent at the same point of contact to the circle

is:

[A]

[B]

[C][D] None of these

Question 71.

If then the value of is:

[A]

[B]

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[C]

[D]

Question 72.

If , then range of is :

[A] (5, 9)[B][C] [5, 9][D] None of these

Question 73.

The range of the function is :

[A]

[B]

[C]

[D] None of these

Question 74.The equation of the acute angle bisector of the lines and is :

[A]

[B]

[C]

[D]

Question 75.If the roots of the equation are real and less than 3, then :

[A][B][C][D]

Question 76.The distance of the point (2, 3) from the line measured along a line is:

[A]

[B]

[C]

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[D]

Question 77.The equation of a circle touching the line at the point (3, ­1) and passing through the point (2, 1) will be :

[A]

[B]

[C][D] None of these

Question 78.

The angle between the circles: and is :

[A] 60o[B] 30o[C] 45o[D] 90o

Question 79.sin ax + cos ax and | sin x | + | cos x | are periodic functions of same fundamental period if a equals :

[A] 0[B] 1[C] 2[D] 4

Question 80.

The domain of is :

[A] [­5, 1][B] [­6, 0][C] [­6, )[D] None of these

Question 81.

A rhombus is inscribed in the region common to the two circles and with two of

its vertices on the line joining the centers of the circles. The area of the rhombus is :

[A]

[B]

[C][D] None of these

Question 82.

If the line cuts the curve at A, B, C and D then OA.OB.OC.OD (where O is

the origin) is :

[A]

[B][C] 96[D] 6

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Question 83.If one of the diameters of the circle x2+y2­2x ­ 6y + 6 = 0 is the common chord to the circle with centre (2, 1), then the radius of the circleis :

[A]

[B][C] 3[D] 2

Question 84.

If the point lies inside the circle , then :

[A] or

[B]

[C]

[D]

Question 85.If , then family of lines , is concurrent at the point :

[A] (3, 2)[B] (2, 3)[C] (­1, 3)[D] (3, 6)

Question 86.

The triangle PQR is inscribed in the circle . If Q and R have coordinates (3, 4) and respectively, then

is equal to :

[A]

[B]

[C]

[D]

Question 87.

Let P = (­1, 0), Q = (0, 0) and R = (3, 3 ) be three points. The equation of the bisector of the angle is :

[A]

[B]

[C]

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[D]

Question 88.The distance between the chords of contact of tangents to the circle x2+y2+2gx+2fy+ c = 0 from the origin and the point (g, f ) is :

[A]

[B]

[C]

[D]

Question 89.

If are four distinct points on a circle of radius 4 units and center at origin then, abcd is

equal to :

[A] 4

[B]

[C] 1[D] 16

Question 90.If , then is :

[A][B][C][D]


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