physics chapter02
TRANSCRIPT
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1. A vector is described by magnitude as well as: a) Angle b)
Distance c) Direction d) Height
C
2. Addition, subtraction and multiplication o scalars is done by: a)
Algebraic principles b) !imple arithmetical rules c) "ogical methods
d) #ector algebra
A
$. %he direction o a vector in a plane is measured with respect to two
straight lines which are &&&&&&& to each other. a) 'arallel b)
'erpendicular c) At an angle o (o d) *+ual
-. A unit vector is obtained by dividing the given vector by: a) its
magnitude b) its angle c) Another vector d) %en
A
. /nit vector along the three mutually perpendicular a0es 0, y and are
denoted by: a) a , b , c b) i , j, k c) p , q , r d) x , y , z
(. 3egative o a vector has direction &&&&&&& that o the original vector.
a) !ame as b) 'erpendicular to c) 4pposite to d) 5nclined to
C
6. %here are &&&&&&& methods o adding two or more vectors. a) %wo
b) %hree c) 7our d) 7ive
A
8. %he vector obtained by adding two or more vectors is called: a)
'roduct vector b) !um vector c) 9esultant vector d) 7inal vector
C
. #ectors are added according to: a) "et hand rule b) 9ight hand
rule c) Head to tail rule d) 3one o the above
C
1. 5n two;dimensional coordinate system, the components o the origin
are taoining thetail o the irst vector with the head o the last vector. b) >oining the heado the irst vector with the tail o the last vector. c) >oining the tail o the
last vector with the head o the irst vector. d) >oining the head o the last
vector with the tail o the irst vector.
A
12. %he position vector o a point p is a vector that represents its position
with respect to: a) Another vector b) Centre o the earth c) Any
point in space d) 4rigin o the coordinate system
D
1$. %o subtract a given vector rom another, its &&&&&&& vector is added to
the other one. a) Double b) Hal c) 3egative d) 'ositive
C
1-. 5 a vector is denoted by A then its 0;components can be written as: a)
A sini b) A sinj c) A cos i d) A cosj
C
1. %he direction o a vector Fcan be ond by the ormula: a) ? tan;1= A
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x
y
F
F
) b) ? sin;1= FFx
) c) ? sin;1= xy
F
F
) d) ? tan;1= yFF
)
1(. %he y;component o the resultant o vectors can be obtained by the
ormula: a) Ay?=
n
1 Ar cosr b) Ay?=
n
1 Ar tanr c) Ay?=
n
1 Ar
tan;1r d) Ay?=
n
1 Ar sinr
D
16. %he sine o an angle is positive in &&&&&&& +uadrants. a) 7irst and
!econd b) !econd and ourth c) 7irst and third d) %hird and ourth
A
18. %he cosine o an angle is negative in &&&&&&& +uadrants. a) !econd
and ourth b) !econd and third c) 7irst and third d) 3one o the
above
1. %he tangent o an angle is positive in &&&&&&& +uadrants. a) 7irst and
last b) 7irst only c) !econd and ourth d) 7irst and third
D
2. 5 the 0;component o the resultant o two vectors is positive and its y;component is negative, the resultant subtends an angle o &&&&&&& on 0;
a0es. a) $(o; b) 18o @ c) 18o @ d)
A
21. !calar product is obtained when: a) A scalar is multiplied by a scalar
b) A scalar is multiplied by vector c) %wo vectors are multiplied to give
a scalar d) !um o two scalars is ta
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28. 5 i , j, k are unit vectors along 0, y and ;a0es then i .j
? j
. k ? k . i
? a) 1 b) ;1 c) ; 21
d)
D
2. i . i ? j.j
? k . k ? &&&&&&& a) b) 1 c) ;1 d) 2
1
$. 5 dot product o two vectors which are not perpendicular to each
other is ero, then either o the vectors is: a) A unit vector b)
4pposite to the other c) A null vector d) 'osition vector
C
$2. 5n the vector product o two vectors A E B the direction o the product
vector is: a) 'erpendicular toA b) 'arallel to B c) 'erpendicular toB d) 'erpendicular to the plane oining both A EB
D
$-. %he magnitude o vector product o two vectors A E is given by: a)
A sin b) A c) A cos d) BA
tan
A
$. 5 i , j, k are unit vectors along 0, y and ;a0es then k . j
? &&&&&&&
a) i b) j c) ; k d) ; i
D
$(. i i ? j j
? k k ? &&&&&&& a) b) 1 c) ;1 d) 2
1 A
$6. k i ? &&&&&&& a) j b) ;j
c) k d) ; k A
$8. %he tor+ue is given by the ormula: a) ? . F b) ? F c)
? F d) ? ; F
C
$. %he orce on a particle with charge + and velocity in a magnetic ield
B is given by: a) + =V B ) b) ;+ =V B ) c) q1
=V B ) d) q1
=B
V)
A
-. %he scalar +uantities are described by their magnitude and &&&&&&& a)
Direction b) 'roper unit c) Bith graph d) 3one o these
-1. %he vector +uantities are described by their magnitude as well as
&&&&&&& a) Distance b) Direction c) !peed d) Acceleration
-2. #elocity is a &&&&&&& +uantity. a) #ector b) !peed c) !calar
d) "ogical
A
-$. !peed is a &&&&&&& +uantity. a) #ector b) !calar c) 3egative
d) 3ull
--. Fomentum is a &&&&&&& +uantity. a) #ector b) !calar c)
3egative d) "ogical
A
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-. Bhen the product o two vectors gives us a vector +uantity then the
product is termed as: a) Cross product b) !calar product c) Dot
product d) 3one o the above
A
-(. Be can write vector C as: a) C b) C c) a E b both are correct
d) C
C
-6. %he module is another name o &&&&&&& o the vector. a) Fagnitude
b) 3ull c) ero d) 3one o these
A
-8. %he magnitude o a vector Cis represented as &&&&&&&. a)C
b)
C c) C
C
d) 3one o these
-. %he vector whose magnitude is e+ual to one is called &&&&&&&. a)
/nit vector b) 3ull vector c) ero vector d) 'ositive vector
A
. %he unit vector o zis represented as: a)z
b) z
z
c) Z d)
3one o these
C
1. %he ormula o unit vector is deined as&&&&&&&. a) Dividing thevector by its magnitude b) Dividing the magnitude by its vector c)
Draw a cap on it d) 3one o these
A
2. Along the three mutually perpendicular a0es 0, y and , the unit vectors
are denoted by: a) i , j, k b) ; i , ;j
, k c) x , y , z d) 3one o
these
$. 5n negative o a vector, a vector has same magnitude but &&&&&&&
direction. a) 'ositive b) 3egative c) 4pposite d) 3one o these
C
-. %he negative o vector Cis represented as: a) ;C b) ;C
c) $
C
d) 3one o these
A
. %he null;vector has &&&&&&& magnitude. a) 7our b) 7ive c)
ero d) !i0
C
(. 5 we multiply vector A by 1-, then we can write it as: a) 1-A
b)
1-
A
c)A
1-
d) 3one o these
D
6. 5 we multiply vector zby ;-, then we can write it as: a)z
-
b) ;-
D
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then it can be written as &&&&&&&. a) Z? 0 i @ y j@ k
b) Z? a i @
b j@ c k
c) Z? 0a i @ yb j@ c k
d) 3one o these
61. 5 the 0;component o the resultant is negative and its y;component is
positive, the result is true or. a) An angle o =18o-) with 0;a0is b)
An angle o =18o-) with y;a0is c) An angle o o d) An angle o18o
A
62. %he 0;component o the resultant is positive and its y;component is
negative, then the result is true or. a) An angle o =18o-) with y;a0is
b) An angle o =o-) with 0;a0is c) An angle o =$(o-) with 0;a0is
d) 3one o these
C
6$. %he product o two vector is called scalar or dot product when they
give &&&&&&&. a) #ector +uantity b) !calar +uantity c) 3egative+uantity d) 'ositive +uantity
6-. Bhen the multiplication o two vectors result into a vector +uantity,
then the product is called &&&&&&&. a) Cross product b) Dot product
c) Fagnitude o two vectors d) 3one o these
A
6. %he scalar product o two vectors L and M is deined as &&&&&&& a)L M? ".F cos b) L.M? ".F cos c) L.M? ".F sin d) L M
? ".F sin
6(. G!in is &&&&&&& in second +uadrant and irst +uadrant. a)
3egative b) 3ull c) 'ositive d) 3one o these
C
66. GCos
is positive in irst and &&&&&&& +uadrant. a) 7ourth b)!econd c) %hird d) 3one o these A
68. %he tangent o an angle is positive in irst and &&&&&&& +uadrant. a)
7ourth b) %hird c) !econd d) 7ith
6. %he cosine o an angle is negative in &&&&&&& +uadrants. a) !econd
and third b) 7irst and second c) %hird and ourth d) 3one o these
A
8. 5 L.M? M.L , then we can say: a) !calar product is commutative b)
!calar product is positive c) !calar product is negative d) 3one o
these
A
81. "et we have two vectors Xand Y, and i X.Y? , then: a) oth arenull vectors b) Xor Yis a null vector c) %he vectors are mutually
perpendicular d) b and c both are correct
D
82. "et we have three vectors A , B and C, then according to distributive
law: a) A . =B @C) ? A.B @ A.C b) A =B @C) ? A B @A @C c) =A A
).C? A A A C d) 3one o these
A
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8$. %he vector product o two vector L and M can be determined by the
ormula &&&&&&&. a) A.B ? L.Mcos b) ". F !in n c) " F cos
n d) 3one o these
8-. 5 A B ? then: a) %wo vectors both are ero b) *ither o the two
vectors is a null or vectors A and B are parallel to each other c)%hey are perpendicular to each other d) 3one o these
8. 5n cross product i i ? j j
? k k ? a) - b) 1 c) d)
1
C
8(. "et we have three vectorsA , B and Cthen according to distributive
law with respect to addition. a) A .=B C) ? K b) A =B @C) ? A B @
A C c) A =B @C) ? A.B @ A.C d) 3one o these
86. 5 i ,j,and k are unit vectors along 0, y, and ;a0is, then k j
? a) ; i
b) ;j c) ; k d) 3one o these
A
88. A scalar is a physical +uantity which is completely speciied by: a)
Direction only b) Fagnitude only c) oth magnitude E direction
d) 3one o these
D
8. A vector is a physical +uantity which is completely speciied by: a)
oth magnitude E direction b) Fagnitude only c) Direction only
d) 3one o these
A
. Bhich o the ollowing is a scalar +uantity a) Density b)
Displacement c) %or+ue d) Beight
A
1. Bhich o the ollowing is the only vector +uantity a) %emperatureb) *nergy c) 'ower d) Fomentum
D
2. Bhich o the ollowing lists o physical +uantities consists only o
vectors a) %ime, temperature, velocity b) 7orce, volume, momentum
c) #elocity, acceleration, mass d) 7orce, acceleration, velocity
D
$. A vector having magnitude as one, is
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8. A orce o 13 is acting along y;a0is. 5ts component along 0;a0is is a)
1 3 b) 2 3 c) 1 3 d) ero 3
D
. %wo orces are acting together on an obect. %he magnitude o their
resultant is minimum when the angle between orce is a) o b) (o
c) 12o
d) 18o
D
1. %wo orces o 13 and 13 are acting simultaneously on an obect in
the same direction. %heir resultant is a) ero b) 3 c) 2 3
d) 1 3
C
11. Ieometrical method o addition o vectors is a) Head;to;tail rule
method b) 9ectangular components method c) 9ight hand rule method
d) Hit and trial method
A
12. A orce 7 o magnitude 23 is acting on an obect ma
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126. 0; and y;components o the velocity o a body are $ ms ;1and - ms;1
respectively. %he magnitude o velocity is a) 6 ms;1 b) 1 ms;1 c)
ms;1 d) 2.(- ms;1
C
128. 5 a ? $ i ; 2 k and b ? ;2 i @-j, a .b is e+ual to a) ;( ;-j
@ 12 k b)
;( c) ;8 i @-j @12 k d) ero
12. 5 a ? 2 i @-j; k and b ? 1$ i ;j
@2 k then a @b is e+ual to a) 1 i @
j ;$ k b) 1 i ;j@$ k c) 1 i ;j
;$ k d) 11i @j
@$ k
C
1$. A orce o $ 3 acts on a body and moves it 2m in the direction o
orce. %he wor< done is a) ( > b) 1 3 c) .( > d) ero
A
1$1. A horse is pulling a cart e0erting a orce o 1 3 at an angle o $ to
one side o motion o the cart. Bor< done by the horse as it moved 2m is
a) 16$.2 > b) 16$2 > c) 8(.( > d) 1 >
1$2. 5dentiy the vector +uantity a) %ime
b) Bor< c) Heat d)Angular momentum D
1$$. 5dentiy the scalar +uantity a) 7orce b) Acceleration c)
Displacement d) Bor
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1-$. 'hysical +uantities represented by magnitude are called a) !calar
b) #ector c) 7unctions d) 3one o the above
A
1--. 'hysical resultant o two or more vectors is a single vector whose
eect is same as the combine eect o all the vectors to be added is
called. a) /nit vector
b) 'roduct vector c) Component o vector
d)9esultant o vector
D
1-. #ectors are added graphically using a) 9ight hand rule b) "et
hand rule c) Head to tail rule d) Hit and trial rule
C
1-(. %he angle between rectangular components o vector is a) -o b)
(o c) o d) 18oC
1-6. %wo orces $3 and -3 are acting on a body, i the angle between
them is then magnitude o resultant orce is a) 2 3ewton b)
3ewton c) 6 3ewton d) 1 3ewton
1-8. Bhich o the ollowing +uantity is scalar a) *lectric ield b)*lectrostatic potential c) Angular momentum d) #elocity
1-. %wo vectors having dierent magnitudes a) Have their directionopposite b) Fay have their resultant ero c) Cannot have their
resultant ero d) 3one o the above
C
1. 5 A and are two vectors, then the correct statement is a) A @ ?
@ A b) A ; ? ; A c) A ? A d) 3one o the above
A
11. Bhen three orces acting at a point are in e+uilibrium: a) *ach
orce is numerically e+ual to the sum o the other two b) *ach orce is
numerically greater than the sum o the other two c) *ach orce isnumerically greater than the dierence o the other two d) 3one o theabove
A
12. 5 two vectors are anti;parallel, scalar product is e+ual to the: a)
'roduct o their magnitudes b) 3egative o the product o their
magnitude c) *+ual to ero d) 3one o the above
1$. Angular momentum is a) !calar b) A polar vector c) An a0ial
vector d) "inear momentum
C
1-. %he scalar product o two vectors is negative when they are a)
Anti;parallel vectors b) 'arallel vectors c) 'erpendicular vectors d)'arallel with some magnitude
A
1. !calar product is also called a) Cross product b) #ector product
c) ase vector d) Dot product
D
1(. !calar product is also
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16. 5 a vector a ma
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16. %he minimum number o une+ual orces whose vector sum can be
ero is a) 1 b) 2 c) $ d) -
C
161. 5 a orce o 13 ma
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product will be o magnitude a) A sin b) cos c) A sin(
d) A
18(. %he y;component o a vector 13 orce, ma
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=A0@ Ay@ A)2 c) =A0
2@ Ay2@ A
2)1O2 d) A O $
2. %wo orces o same magnitude 7 act on a body inclined at an angle o
o,then the magnitude o their resultant is a) 2 7 b) F2 c) 27
d) 2
F
A
21. 5 1F ?$cm and 2F ?-cm, 71is ma
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21-. Bhen two e+ual and opposite vectors are added, then their resultant
will have a) !ame magnitude b) Double magnitude c) ero
magnitude d) Hal magnitude
C
21. A orce o 23 is acting along 0;a0is, 5ts component along 0;a0is is
a) 23 b) 13 c) 3 d) ero
A
21(. %wo orces o same magnitude are acting on an obect, the magnitude
o their resultant is minimum i the angle between them is a) -o b)
(o c) o d) 18o
D
216. 5 two orces each o magnitude 3 act along the same line on a body,
then the magnitude o their resultant will be a) 3 b) 1 3 c) 2
3 d) $ 3
218. 5 A ? A0i @ Ay and ? 0i @ y then A. will be e+ual to a) A00
@ Ayy b) A0y@ Ay0 c) A02y
2@ Ay20
2 d) A020
2@ Ay2y
2
A
21. 5 cross product between two non ero vectors A and is ero thentheir dot product is a) A sin b) A cos c) d) A
D
22. %he cross product o a vector A with itsel is a) A2 b) 2A c) d) 1
C
221. 5 A ? Ai and ? then A . is e+ual to a) A b) ero c) 1 d) A <
222. %he product i is e+ual to a) ero b) 1 c) < d) ;< C22$. %he magnitude o i. =i c) 8.(( > d) 3
226. 5 A ? 2i @ 2 and ? ;2i @ 2 then A . will be e+ual to a) ;- b)
c) 2 d) 8
228. %wo vectors o magnitude 2 3 and 2m are acting on opposite
direction. %heir scalar product will be a) - 3m b) - 3 c) ;- 3md) - m
C
22. 5 A ? $i @ (, ? 0i @ < and A. ? 12, then 0 will be e+ual to a) 2
b) - c) 12 d) $
2$. A physical +uantity which is completely described by a number with
proper units is called a) !calar b) #ector c) 3ull vector d) 3one
A
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o the above
2$1. A physical +uantity which re+uires magnitude in proper units as well
as direction is called a) !calar b) #ector c) 3ull vector d) 3one
o the above
2$2. A vector whose magnitude or modulus is one and it points in thedirection o a given vector is called &&&&&&& a) A unit vector b) A
null vector c) 3egative o a vector d) ero vector
A
2$$. A vector having an arbitrary direction and ero magnitude is called&&&&&&& a) A unit vector b) A null vector c) 5nverse o a vector d)
3one o the above
2$-. 5n a right angled triangle Cos ? a) Hypotenuselar'erpendicu
b) Hypotenusease
c)
ase
lar'erpendicu
d) 3one o the above
2$. 7or a orce 7, 70 ? ( 3 7y ? ( 3. Bhat is the angle between 7 and 0;
a0is a) "ess than $o b) (o c) -o d) Ireater than (oC
2$(. A . ? a) .A b) ; .A c) A d) 3one o the above A
2$6. A simple e0ample o a dot product is the&&&&&&& a) 7orce b)
*nergy c) Bor< d) Fomentum
C
2$8. 5 the vectorsA.B ? , either the vectors are mutually perpendicular
to each other or one or both vectors are a) /nit vectors b) 3ull
vector c) ase vectors d) 3one o the above
2$. %he scalar product o a vector A with itsel i.e. A.A is called a) Anull vector b) !+uare o the vector c) /nit vector d) Fagnitude oA
2-. %he scalr product o A andB in the orm o the components A0, Ay, A,and 0, y, , is deined as a) A0y@ A00@ A b) A0b@
@ A c) A00@ Ayy@ A d) Ay@ A00@ Ay
C
2-1. %he vector product Co two vectorsA andB ma
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Ayy) i ; =Ab@ Ayy)j@ =A00; Ay0) k
b) =Ay; Ay) i @ =A0;
A0)j@ =A0y; Ay0) k
c) =Ay; Ay) i ; =A0; A0)j@ =A0y;
Ay0) k d) =Ay@ Ay) i @ =A0; A0)j
@ =A0y; Ay0) k
2-. 5n contrast o a scalar a vector must have a a) Direction b)Beight c) Puantity d) 3one o the above
A
2-(. *lectric intensity is a a) 9atio b) !calar c) #ector d) 'urenumber
C
2-6. %he acceleration vector or a particle in uniorm circular motion in a)
%angential to the orbit b) Directed toward the centre o the orbit c)
Directed in the same direction as the orce vector d) b and c
D
2-8. Bhich o the ollowing group o +uantities represent the vectors a)
Acceleration, 7orce, Fass b) Fass, Displacement, #elocity c)
Acceleration, *lectric lu0, 7orce d) #elocity, *lectric ield, Fomentum
D
2-. %he ollowing physical +uantities are called vectors a) %ime andmass b) %emperature and density c) 7orce and displacement d)
"ength and volume
C
2. !calar +uantities have a) 4nly magnitudes b) 4nly directions c)
oth magnitude and direction d) 3one o these
A
21. %he vector +uantity which is deined as the displacement o the
particle during a time interval divided by that time interval is called a)
!peed b) Average speed c) Average velocity d) 3one o these
C
22. 7or the addition o any number o vectors in a given coordinatesystem the irst step is to a) 7ind out the algebraic sum o all the
individual 0;components b) 7ind out the algebraic sum o all the
individual y;components c) 9esolve each given vector into its
rectangular components =0 and y components) d) 7ind out the magnitude
o the sum o all the vectors
C
2$. Bhen a vector is multiplied by a negative number, its direction a) 5s
reversed b) 9emains unchanged c) Fa
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in space d) 4rigin o the coordinate system
26. 3egative o a vector has a direction &&&&&&& that o the original
vector a) !ame as b) 'erpendicular to c) 4pposite to d) 5nclined
to
C
28. %he sum and dierence o two vectors are e+ual in magnitude. %heangle between the vectors is a) o b) o c) 12o d) 18o
2. 5n graphical addition o vectors a) %he position o vectors is
unimportant b) %he order o vectors is not to be altered c) %hedirection o resultant is un
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Direction b) Fagnitude c) Direction and magnitude both d)
9esultant o the vector
262. #ector A has the same magnitude as but opposite in direction, then
A is said to be a) 3ormal vector b) 3egative vector c) 3ull vector
d) /nit vector
26$. %he sum o two vectors e+ual in magnitude but opposite in direction
is a) "ess than the individual vectors b) Ireater than the individual
vectors c) *+ual to the individual vector d) ero
D
26-. %o add all vectors we add their representative lines by a) 9ight hand
rule b) Head;to;tail rule c) "et hand rule d) Hit and trial principle
26. #ector addition is a) Associative b) Commutative c)
Distributive d) oth a) and b)
D
26(. A vector whose tail lies at the origin o the coordinates and whose
head lies at the position o point L'M in space,
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component is @ve b) 5ts 0;component is @ve and its y;component is @ve
c) 5ts 0;component is @ve and its y;component is ;ve d) 5ts 0;
component is ;ve and its y;component is ;ve
28. %he process by which a vector can be reconstituted rom its
components is