physics chapter02

8/11/2019 Physics Chapter02

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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

physics chapter02

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