Part 02 Question (141 -wererefd 161)

8/13/2019 Part 02 Question (141 -wererefd 161)

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Motion in Two Dimension 143

(c) 21 RR > (d) 21 RR 32. " mass of 1:: gm is tied to one end of a string 2 m long. The

body is revolving in a hori ontal circle ma ing a ma7imum of2:: revolutions per min. The other end of the string is fi7ed atthe centre of the circle of revolution. The ma7imum tension thatthe string can bear is (appro7imately)

[MP PET 1993]

(a) >.=; N (b) >.< N

(c) >=.; N

33. " road is 1: m wide. Its radius of curvature is #: m . The outeredge is above the lower edge by a distance of 1.# m . This roadis most suited for the velocity

(a) 2.# m/sec (b) .# m/sec

(c) ;.# m/sec (d) >.# m/sec

34. ertain neutron stars are believed to be rotating at aboutsec/1 rev . If such a star has a radius of 2: km , the

acceleration of an ob@ect on the e*uator of the star will be[NCERT 1982]

(a) 2> sec/1:2: m (b) 2# sec/1:> m(c) 2# sec/1:12: m (d) 2> sec/1: m

35. " particle revolves round a circular path. The acceleration ofthe particle is [MNR 1986; UPSEAT 1999]

(a) "long the circumference of the circle

(b) "long the tangent

(c) "long the radius

(d) ero

36. The length of second-s hand in a watch is 1 cm . The change invelocity of its tip in 1# seconds is [MP PMT 1987, 2003]

(a) ero (b) sec/2A:

cm

(c) sec/A:

cm

(d) sec/A:

2cm

37. " particle moves in a circle of radius 2# cm at two revolutions

per second. The acceleration of the particle in 2/ sm is [MNR1991; UPSEAT 2000;

$PMT 1999; RPET 2003; P&. PET 2004]

(a) 2 (b) 2>

(c) 2 (d) 22

38. "n electric fan has blades of length A: cm as measured fromthe a7is of rotation. If the fan is rotating at 12:: r.p.m. Theacceleration of a point on the tip of the blade is about

[CBSE PMT 1990]

(a) 1;:: 2sec/m (b) = : 2sec/m

(c) 2A=: 2sec/m (d) #:## 2sec/m

39. The force re*uired to eep a body in uniform circular motion is[EAMCET 1982; AFMC 2003]

(a) entripetal force (b) entrifugal force

(c) +esistance (d) 3one of the above

40. ream gets separated out of mil when it is churned, it is due to[EAMCET 1981]

(a) 8ravitational force (b) entripetal force

(c) entrifugal force (d) Brictional force

41. " particle of mass m is e7ecuting uniform circular motion ona path of radius r . If p is the magnitude of its linearmomentum. The radial force acting on the particle is

[MP PET 1994]

(a) pmr (b)p

rm

(c)r

mp 2(d)

rmp 2

42. " particle moves in a circular orbit under the action of a centralattractive force inversely proportional to the distance -- r .The speed of the particle is [CBSE PMT 1995]

(a) Croportional to 2r (b) Independent of r(c) Croportional to r (d) Croportional to r/1

43. Two masses M and m are attached to a vertical a7is byweightless threads of combined length l . They are set inrotational motion in a hori ontal plane about this a7is withconstant angular velocity . If the tensions in the threads arethe same during motion, the distance of M from the a7is is

[MP PET 1995]

(a)mM

Ml+ (b) mM

ml+

(c) lM

mM +(d) l

mmM +

44. " boy on a cycle pedals around a circle of 2: metres radius ata speed of .sec/2: metres The combined mass of the

boy and the cycle is .


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144 Motion in Two Dimension

(b) " vector of magnituder

v 2 directed normal to the plane

of the given uniform circular motion

(c) *ual to the instantaneous acceleration vector at the start

of the motion(d) " null vector

46. +adius of the curved road on national highway is R . idthof the road is b . The outer edge of the road is raised by h with respect to inner edge so that a car with velocity v canpass safe over it. The value of h is [MP PMT 1996]

(a)Rg

bv 2(b)

Rgbv

(c)g

Rv 2(d)

R bv 2

47. hen a particle moves in a uniform circular motion. It has

(a) +adial velocity and radial acceleration

(b) Tangential velocity and radial acceleration

(c) Tangential velocity and tangential acceleration

(d) +adial velocity and tangential acceleration

48. " motorcycle is going on an overbridge of radius R . Thedriver maintains a constant speed. "s the motorcycle isascending on the overbridge, the normal force on it

[MP PET 1997]

(a) Increases (b) $ecreases

(c) +emains the same (d) Bluctuates

49. " mass of 2 kg is whirled in a hori ontal circle by means of astring at an initial speed of # revolutions per minute .6eeping the radius constant the tension in the string is doubled.The new speed is nearly

[MP PMT PET 1998; JIPMER 2000]

(a) 1 rpm (b) 1: rpm

(c) 2.2# rpm (d) = rpm50. The magnitude of the centripetal force acting on a body of mass

m e7ecuting uniform motion in a circle of radius r withspeed v is [AFMC 1998; MP PET 1999]

(a) mvr (b) rmv /2(c) mrv 2/ (d) rmv /

51. " string brea s if its tension e7ceeds 1: newtons . " stone ofmass 2#: gm tied to this string of length 1: cm is rotated in ahori ontal circle. The ma7imum angular velocity of rotationcan be [MP PMT 1999]

(a) 2: rad /s (b) : rad /s

(c) 1:: rad /s (d) 2:: rad /s

52. " #:: kg car ta es a round turn of radius #: m with a velocityof A; km/hr . The centripetal force is

[+CET 2001; CBSE PMT 1999;

JIPMER 2001, 02]

(a) 2#: N (b) =#: N

(c) 1::: N (d) 12:: N

53. " ball of mass :.2# kg attached to the end of a string of length1.


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(a) : (b) l l

mv 2.

2

(c) lmg 2. (d) )(.2

l l

mv

60. " body is whirled in a hori ontal circle of radius 2: cm . It hasangular velocity of 1: rad /s. hat is its linear velocity at anypoint on circular path [CBSE PMT 1996]

(a) 1: m/s (b) 2 m/s

(c) 2: m/s (d) 2 m/s

61. Bind the ma7imum velocity for s idding for a car moved on a

circular trac of radius 1:: m . The coefficient of frictionbetween the road and tyre is :.2

[CPMT 1996; P&. PMT 2001]

(a) :.1 m/s (b) 1 : m/s

(c) 1. km/s (d) 1 m/s

62. " car when passes through a conve7 bridge e7erts a force on itwhich is e*ual to [AFMC 1997]

(a)r

MvMg

2

+ (b)r

Mv 2

(c) Mg (d) 3one of these

63. The angular speed of seconds needle in a mechanical watch is

[RPMT 1999; CPMT 1997; M% CET 2000, 01; B%U 2000]

(a)A:

rad /s (b) 2 rad /s

(c) rad /s (d) ;:

rad /s

64. The angular velocity of a particle rotating in a circular orbit 1::times per minute is [SCRA 1998; $PMT 2000]

(a) 1.;; rad /s (b) 1:. = rad /s

(c) 1:. = deg /s (d) ;: deg /s

65. " body of mass 1:: g is rotating in a circular path of radius rwith constant velocity. The wor done in one completerevolution is [AFMC 1998]

(a) 1:: rJ (b) Jr )1::/(

(c) Jr )/1::( (d) ero

66. " particle comes round a circle of radius 1 m once. The timeta en by it is 1: sec . The average velocity of motion is

[JIPMER 1999]

(a) :.2 sm / (b) sm /2

(c) 2 sm / (d) ero

67. "n unban ed curve has a radius of m;: . The ma7imumspeed at which a car can ma e a turn if the coefficient of staticfriction is :.=#, is [JIPMER 1999]

(a) 2.1 sm / (b) 1 sm /

(c) 21 sm / (d) = sm /

68. " wheel completes 2::: revolutions to cover the +

(c) k"i F;F1AF. + (d) k"i F>F2F; +

76. " stone is tied to one end of a string #: cm long is whirled in ahori ontal circle with a constant speed. If the stone ma es 1:

revolutions in 2: s, what is the magnitude of acceleration of thestone [P&. PMT 2000]

(a) ;: cm/s 2 (d)


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146 Motion in Two Dimension78. The ma7imum speed of a car on a roadGturn of radius A: m , if

the coefficient of friction between the tyres and the road is :. ,will be [CBSE PMT 2000]

(a) 1:.> m/sec (b) m/sec(c) >.> m/sec (d) ;.> m/sec

79. The angular velocity of a wheel is =: rad/sec . If the radius ofthe wheel is :.# m , then linear velocity of the wheel is

[M% CET 2000]

(a) =: m/s (b) A# m/s(c) A: m/s (d) 2: m/s

80. " cyclist goes round a circular path of circumference A .A m in

22 sec . the angle made by him, with the vertical, will be[M% CET 2000]

(a) # o (b) : o

(c) 2 o (d) > o

81. " particle of mass M is moving in a hori ontal circle of radius

R with uniform speed # . hen it moves from one point to adiametrically opposite point, its

[CBSE PMT 1992]

(a) 6inetic energy changes by /2M#(b) omentum does not change

(c) omentum changes by 2 M#

(d) 6inetic energy changes by 2M#82. " ball of mass :.1 g. is whirled in a hori ontal circle of

radius 1 m . by means of a string at an initial speed of 1:R.P.M. 6eeping the radius constant, the tension in the stringis reduced to one *uarter of its initial value. The new speed is

[MP PMT 2001](a) # r.p.m. (b) 1: r.p.m.

(c) 2: r.p.m. (d) 1 r.p.m.

83. " cyclist riding the bicycle at a speed of A1 ms G1 ta es a

turn around a circular road of radius A2: m without

s idding. 8iven g H ms G2, what is his inclination to thevertical [+( # # 'E .* 2001](a) A: o (b) sm

85. " bob of mass 1: kg is attached to wire :.A m long. Itsbrea ing stress is .> 1: = N/m 2. The area of cross section ofthe wire is 1: G; m 2. The ma7imum angular velocity with whichit can be rotated in a hori ontal circle [P&. PMT 2001]

(a) > rad/sec (b) rad/sec

(c) 2 rad/sec (d) 1 rad/sec86. In uniform circular motion, the velocity vector and acceleration

vector are [$CE 2000, 01, 03](a) Cerpendicular to each other

(b) 9ame direction(c) 4pposite direction(d) 3ot related to each other

87. " point mass m is suspended from a light thread of length l ,fi7ed at $ , is whirled in a hori ontal circle at constant speed asshown. Brom your point of view, stationary with respect to themass, the forces on the mass are [AMU 'M().* 2001]

(a) (b)

(c) (d)

88. If a cyclist moving with a speed of .< m/s on a level road canta e a sharp circular turn of radius m , then coefficient offriction between the cycle tyres and road is

[AIIMS 1999; AFMC 2001]

(a) :. 1 (b) :.#1

(c) :.;1 (d) :.=1

89. " car moves on a circular road. It describes e*ual angles aboutthe centre in e*ual intervals of time. hich of the followingstatement about the velocity of the car is true

[B%U 2001]

(a) agnitude of velocity is not constant

(b) 0oth magnitude and direction of velocity change

(c) 5elocity is directed towards the centre of the circle

(d) agnitude of velocity is constant but direction changes

90. " scooter is going round a circular road of radius 1:: m at a

speed of 1: m/s . The angular speed of the scooter will be[P&. PMT 2002]

(a) :.:1 rad/s (b) :.1 rad/s

(c) 1 rad/s (d) 1: rad/s

91. " particle of mass M moves with constant speed along acircular path of radius r under the action of a force %. Its speedis [MP PMT 2002]

(a)m

%r (b)

r%

(c) rm%

(d) rm%

m

l

$

&

%

'

&

'&

%

'

&

%

'

%


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92. In an atom for the electron to revolve around the nucleus, thenecessary centripetal force is obtained from the following forcee7erted by the nucleus on the electron [MP PET 2002]

(a) 3uclear force (b) 8ravitational force(c) agnetic force (d) lectrostatic force

93. " particle moves with constant speed v along a circular path ofradius r and completes the circle in time &. The acceleration ofthe particle is [O !""# JEE 2002]

(a) &v /2 (b) &r /2

(c) &r /2 2 (d) &v /2 2

94. The ma7imum velocity (in ms G1) with which a car driver musttraverse a flat curve of radius 1#: m and coefficient of friction:.; to avoid s idding is [AIEEE 2002](a) ;: (b) A:

(c) 1# (d) 2#

95. " car is moving with high velocity when it has a turn. " forceacts on it outwardly because of [AFMC 2002](a) entripetal force (b) entrifugal force

(c) 8ravitational force (d) "ll the above

96. " motor cycle driver doubles its velocity when he is having aturn. The force e7erted outwardly will be [AFMC 2002](a) $ouble (b) &alf

(c) times (d)1

times

97. The coefficient of friction between the tyres and the road is:.2#. The ma7imum speed with which a car can be driven

round a curve of radius : m without s idding is (assume g H1: ms G2) [+( # # 'M().* 2002]

(a) : ms G1 (b) 2: ms G1

(c) 1# ms G1 (d) 1: ms G1

98. "n athlete completes one round of a circular trac of radius 1:

m in : sec . The distance covered by him in 2 min 2: sec is[+( # # 'M().* 2002]

(a) =: m (b) 1 : m

(c) 11: m (d) 22: m

99. " proton of mass 1.; 1: G2= kg goes round in a circular orbit ofradius :.1: m under a centripetal force of 1: G1A N . then thefre*uency of revolution of the proton is about

[+( # # 'M().* 2002]

(a) :.:> 1: > c(cles per sec

(b) 1: > c(cles per sec

(c) > 1: > c(cles per sec

(d) 12 1: > c(cles per sec

100. " particle is moving in a circle with uniform speed v. Inmoving from a point to another diametrically opposite point

[O !""# JEE 2003]

(a) The momentum changes by mv

(b) The momentum changes by 2 mv

(c) The inetic energy changes by (1/2) mv 2

(d) The inetic energy changes by mv 2

101. In uniform circular motion [MP PMT 1994]

(a) 0oth the angular velocity and the angular momentum vary

(b) The angular velocity varies but the angular momentumremains constant

(c) 0oth the angular velocity and the angular momentum stayconstant

(d) The angular momentum varies but the angular velocityremains constant

102. hen a body moves in a circular path, no wor is done by theforce since, [+CET 2004]

(a) There is no displacement

(b) There is no net force

(c) Borce and displacement are perpendicular to each other

(d) The force is always away from the centre103. hich of the following statements is false for a particle moving

in a circle with a constant angular speed

[AIEEE 2004]

(a) The velocity vector is tangent to the circle

(b) The acceleration vector is tangent to the circle

(c) The acceleration vector points to the centre of the circle

(d) The velocity and acceleration vectors are perpendicular toeach other

104. If ra and ta represent radial and tangential accelerations,the motion of a particle will be uniformly circular if

[CPMT 2004]

(a) :=ra and := ta (b) :=ra but : ta

(c) :ra but := ta (d) :ra and : ta105. " person with his hands in his poc ets is s ating on ice at the

velocity of 1: m/s and describes a circle of radius #: m . hatis his inclination with vertical [P&. PET 2000]

(a)

1:

1tan 1 (b)

#A

tan 1

(c) )1(tan 1 (d)

#1

tan 1

106. If the radius of curvature of the path of two particles of samemasses are in the ratio 1 ! 2, then in order to have constantcentripetal force, their velocity, should be in the ratio of

[P&. PET 2000]

(a) 1 ! (b) ! 1

(c) 1!2 (d) 2!1

107. "n ob@ect is moving in a circle of radius 1:: m with a constantspeed of A1. m/s . hat is its average speed for one completerevolution [$CE 2004]

(a) ero (b) A1. m/s

(c) A.1 m/s (d) sm /.A12


8/22

148 Motion in Two Dimension108. " body of mass 1 kg tied to one end of string is revolved in a

hori ontal circle of radius :.1 m with a speed of Arevolution/sec , assuming the effect of gravity is negligible,then linear velocity, acceleration and tension in the string willbe [$PMT 2003]

(a) Nsmsm #.A#,/#.A#,/>>.1 2

(b) Nsmsm #.#,/#.#,/>>.2 2

(c) Nsmsm #.##,/#.##,/>>.A 2

(d) 3one of these

109. The acceleration of a train travelling with speed of :: m /s asit goes round a curve of radius 1;: m , is

[P&. PET 2003]

(a) 2/1 s km (b) 2/1:: sm

(c) 2/1: sm (d) 2/1 sm

110. " car of mass >:: kg moves on a circular trac of radius : m .If the coefficient of friction is :.#, then ma7imum velocity withwhich the car can move is [M% CET 2004]

(a) = m/s (b) 1 m/s

(c) > m/s (d) 12 m/s

111. " #:: kg crane ta es a turn of radius #: m with velocity of A; km/hr. The centripetal force is [P&. PMT 2003]

(a) 12:: N (b) 1::: N

(c) =#: N (d) 2#: N

112. Two bodies of e*ual masses revolve in circular orbits of radii

1R and 2R with the same period. Their centripetal forcesare in the ratio [+( # # PMT 2004]

(a)

2

1

2

R

R(b)

2

1

R

R

(c)

2

2

1

R

R(d) 21 RR

113. In case of uniform circular motion which of the followingphysical *uantity do not remain constant

[+( # # PMT 2004]

(a) 9peed (b) omentum

(c) 6inetic energy (d) ass

114. hat happens to the centripetal acceleration of a revolvingbody if you double the orbital speed v and half the angularvelocity (a) The centripetal acceleration remains unchanged

(b) The centripetal acceleration is halved

(c) The centripetal acceleration is doubled

(d) The centripetal acceleration is *uadrupled

115. " mass is supported on a frictionless hori ontal surface. It isattached to a string and rotates about a fi7ed centre at an

angular velocity : . If the length of the string and angularvelocity are doubled, the tension in the string which was

initially :& is now [AIIMS 1985]

(a) :& (b) 2/:&

(c) :& (d) :> &

116. In 1.: s, a particle goes from point A to point B , moving in asemicircle of radius 1.: m (see figure). The magnitude of theaverage velocity is [IIT JEE 1999]

(a) sm /1.A (b) 2.: sm /(c) 1.: sm / (d) ero

117. Three identical particles are @oined together by a thread asshown in figure. "ll the three particles are moving in a

hori ontal plane. If the velocity of the outermost particle is v: ,then the ratio of tensions in the three sections of the string is

[UPSEAT 2003]

a

b (a) A ! # ! = (b) A ! ! #

(c) = ! 11 ! ; (d) A ! # ! ;118. " particle is moving in a circle of radius R with constant speed

v) if radius is double then its centripetal force to eep the samespeed should be [BCECE 2005]

(a) $oubled

(b) &alved

(c) %uadrupled

(d) 'nchanged

119. " stone ties to the end of a string m1 long is whirled in ahori ontal circle with a constant speed. If the stone ma es 22revolution in seconds, what is the magnitude and directionof acceleration of the stone [CBSE PMT 2005]

(a) 22

ms

and direction along the radius towards the

centre

(b) 22 ms and direction along the radius away from thecentre

(c) 22 ms and direction along the radius towards thecentre

(d) 22 ms and direction along the tangent to the circle

A

1.0 m

B

l l l$ A B C


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120. " particle describes a hori ontal circle in a conical funnel

whose inner surface is smooth with speed of :.# m/s . hat isthe height of the plane of circle from verte7 of the funnel J

[J + CET 2005]

(a) :.2# cm (b) 2 cm

(c) cm (d) 2.# cm

121. hat is the angular velocity of earth [O !""# JEE 2005]

(a) sec/>; ::

2rad

(b) sec/

A;::2

rad

(c) sec/22

rad

(d) sec/; ::

2rad

122. If the length of the second-s hand in a stop cloc is A cm theangular velocity and linear velocity of the tip is

[+( # # PET 2005]

(a) :.2 : = rad/sec.) :.:A1 m/sec

(b) :.2# = rad/sec.) :.A1 m/sec

(c) :.1 =2 rad/sec.) :.:;A1 m/sec

(d) :.1 : = rad/sec.) :.::A1 m/sec

Non-uniform Circular Motion

1. In a circus stuntman rides a motorbi e in a circular trac ofradius R in the vertical plane. The minimum speed at highestpoint of trac will be

[CPMT 1979; JIPMER 1997; RPET 1999]

(a) gR2 (b) gR2

(c) gRA (d) gR

2. " bloc of mass m at the end of a string is whirled round in avertical circle of radius R . The critical speed of the bloc atthe top of its swing below which the string would slac enbefore the bloc reaches the top is [$CE 1999, 2001]

(a) Rg (b) 2)( Rg

(c) gR / (d) Rg

3. " sphere is suspended by a thread of length l . hatminimum hori ontal velocity has to be imparted the ball for itto reach the height of the suspension

[ISM $ # ) 1994]

(a) gl (b) gl2

(c) gl (d) gl2

4. " bottle of sodawater is grasped by the nec and swing bris lyin a vertical circle. 3ear which portion of the bottle do thebubbles collect

(a) 3ear the bottom

(b) In the middle of the bottle

(c) 3ear the nec

(d) 'niformly distributed in the bottle

5. " buc et tied at the end of a 1.; m long string is whirled in avertical circle with constant speed. hat should be theminimum speed so that the water from the buc et does not spill,when the buc et is at the highest position (Ta e

2sec/1: mg = ) [AIIMS 1987]

(a) m/sec (b) ;.2# m/sec

(c) 1; m/sec (d) 3one of the above

6. " wheel is sub@ected to uniform angular acceleration about its

a7is. Initially its angular velocity is ero. In the first 2 sec , it

rotates through an angle 1 . In the ne7t 2 sec , it rotates

through an additional angle 2 . The ratio of 12 / is

[AIIMS 1985]

(a) 1 (b) 2

(c) A (d) #

7. " 1 kg stone at the end of 1 m long string is whirled in avertical circle at constant speed of m/sec . The tension in thestring is ; N , when the stone is at ( g H 1: m /sec 2)

[AIIMS 1982]

(a) Top of the circle (b) 0ottom of the circle

(c) &alf way down (d) 3one of the above

8. " cane filled with water is revolved in a vertical circle of radius

meter and the water @ust does not fall down. The time periodof revolution will be [CPMT 1985;

RPET 1995; UPSEAT 2002; M% CET 2002]

(a) 1 sec (b) 1: sec

(c) > sec (d) sec

9. " 2 kg stone at the end of a string 1 m long is whirled in avertical circle at a constant speed. The speed of the stone is

m /sec . The tension in the string will be #2 N , when the stone is[AIIMS 1982]

(a) "t the top of the circle

(b) "t the bottom of the circle

(c) &alfway down

(d) 3one of the above

10. " body slides down a frictionless trac which ends in a circularloop of diameter * , then the minimum height h of thebody in term of * so that it may @ust complete the loop, is

(a)2

# * h = (b) # * h =

(c)A*

h = (d) * h =


10/22

150 Motion in Two Dimension11. " car is moving with speed A: sec/m on a circular path of

radius #:: m . Its speed is increasing at the rate of

,sec/2 2m hat is the acceleration of the car

[MP PMT 2003; R -(( 1982; RPET 1996; M% CET 2002]

(a) 2sec/2 m (b) 2sec/=.2 m

(c) 2sec/>.1 m (d) 2sec/>.< m

12. The string of pendulum of length l is displaced througho


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24. " pendulum bob on a 2 m string is displaced ;: o from thevertical and then released. hat is the speed of the bob as itpasses through the lowest point in its path [JIPMER 1999]

(a) sm /2 (b) sm />.:R.

+eason ! "t the highest point, velocity of pro@ectile willbe in hori ontal direction only.

2. "ssertion ! Two particles of different mass, pro@ected withsame velocity at same angles. The ma7imumheight attained by both the particle will besame.

+eason ! The ma7imum height of pro@ectile is

independent of particle mass.3. "ssertion ! The ma7imum hori ontal range of pro@ectile is

proportional to s*uare of velocity.

+eason ! The ma7imum hori ontal range of pro@ectile ise*ual to ma7imum height attained by pro@ectile.

4. "ssertion ! &ori ontal range is same for angle of pro@ection and (


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10. "ssertion ! The height attained by a pro@ectile is twenty fivepercent of range, when pro@ected for ma7imumrange.

+eason ! The height is independent of initial velocity ofpro@ectile.

11. "ssertion ! hen range of a pro@ectile is ma7imum, itsangle of pro@ection may be #R or 1A#R.

+eason ! hether is #R or 1A#R, value of rangeremains the same, only the sign changes.

12. "ssertion ! In order to hit a target, a man should point hisrifle in the same direction as target.

+eason ! The hori ontal range of the bullet is dependenton the angle of pro@ectile with hori ontaldirection.

13. "ssertion ! hen a particle moves in a circle with auniform speed, its velocity and accelerationboth changes.

+eason ! The centripetal acceleration in circular motion isdependent on angular velocity of the body.

14. "ssertion ! $uring a turn, the value of centripetal forceshould be less than the limiting frictional force.

+eason ! The centripetal force is provided by thefrictional force between the tyres and the road.

15. "ssertion ! hen a vehicle ta es a turn on the road, ittravels along a nearly circular path.

+eason ! In circular motion, velocity of vehicle remainssame.

16. "ssertion ! "s the frictional force increases, the safe

velocity limit for ta ing a turn on an unban edroad also increases.

+eason ! 0an ing of roads will increase the value oflimiting velocity.

17. "ssertion ! If the speed of a body is constant, the bodycannot have a path other than a circular orstraight line path.

+eason ! It is not possible for a body to have a constantspeed in an accelerated motion.

18. "ssertion ! In circular motion, wor done by centripetalforce is ero.

+eason ! In circular motion centripetal force isperpendicular to the displacement.

19. "ssertion ! In circular motion, the centripetal andcentrifugal force acting in opposite directionbalance each other.

+eason ! entripetal and centrifugal forces donDt act atthe same time.

20. "ssertion ! If both the speed of a body and radius of itscircular path are doubled, then centripetal forcealso gets doubled.

+eason ! entripetal force is directly proportional to bothspeed of a body and radius of circular path.

21. "ssertion ! hen an automobile while going too fastaround a curve overturns, its inner wheels leave

the ground first.

+eason ! Bor a safe turn the velocity of automobileshould be less than the value of safe limitvelocity.

22. "ssertion ! " safe turn by a cyclist should neither be fastnor sharp.

+eason ! The bending angle from the vertical woulddecrease with increase in velocity.

23. "ssertion ! Improper ban ing of roads causes wear and tearof tyres.

+eason ! The necessary centripetal force is provided bythe force of friction between the tyres and theroad.

24. "ssertion ! ream gets separated out of mil when it ischurned, it is due to gravitational force.

+eason ! In circular motion gravitational force is e*ual tocentripetal force.

25. "ssertion ! Two similar trains are moving along thee*uatorial line with the same speed but in

opposite direction. They will e7ert e*ualpressure on the rails.

+eason ! In uniform circular motion the magnitude ofacceleration remains constant but the directioncontinuously changes.

26. "ssertion ! " coin is placed on phonogram turn table. Themotor is started, coin moves along the movingtable.

+eason ! The rotating table is providing necessarycentripetal force to the coin.

Uniform Circular Motion

1 c 2 c 3 b 4 b 5 c

6 c 7 c 8 c 9 b 10 b

11 a 12 a 13 c 14 ac 15 a

16 d 17 a 18 a 19 d 20 a

21 b 22 a 23 c 24 d 25 a

26 c 27 b 28 a 29 d 30 c

31 b 32 d 33 d 34 b 35 c

36 d 37 c 38 b 39 a 40 c

41 d 42 b 43 b 44 b 45 d

46 a 47 b 48 a 49 d 50 b

51 a 52 c 53 a 54 b 55 a

56 d 57 a 58 d 59 a 60 b

61 d 62 d 63 a 64 b 65 d

66 d 67 c 68 a 69 c 70 a

71 b 72 d 73 a 74 c 75 b

76 a 77 c 78 a 79 b 80 a

81 c 82 a 83 d 84 c 85 b


22/22

162 Motion in Two Dimension86 a 87 c 88 c 89 d 90 b

91 a 92 d 93 a 94 b 95 b

96 c 97 d 98 d 99 a 100 b

101 c 102 c 103 b 104 c 105 d

106 d 107 b 108 a 109 a 110 b

111 b 112 b 113 b 114 a 115 d

116 b 117 d 118 b 119 c 120 d

121 a 122 d

Non-uniform Circular Motion

1 d 2 d 3 d 4 c 5 a

6 c 7 a 8 d 9 b 10 b

11 b 12 b 13 a 14 b 15 b

16 a 17 c 18 c 19 a 20 a

21 c 22 a 23 d 24 c 25 b

26 d 27 a 28 d 29 c 30 b

31 d 32 d 33 d 34 b 35 b

36 d 37 c 38 c 39 c 40 b

41 d 42 c 43 a 44 a 45 d

46 d 47 a 48 d

Horizontal Projectile Motion

1 b 2 c 3 b 4 c 5 b

6 c 7 c 8 ac 9 b 10 c

11 d 12 a 13 c 14 a 15 a

16 b

Oblique Projectile Motion

1 d 2 c 3 a 4 a 5 c

6 c 7 a 8 d 9 c 10 b

11 a 12 b 13 a 14 a 15 c

16 b 17 c 18 c 19 b 20 b

21 b 22 d 23 c 24 c 25 b

26 d 27 c 28 b 29 d 30 a

31 b 32 b 33 a 34 c 35 c

36 a 37 a 38 a 39 d 40 b

41 c 42 b 43 a 44 b 45 a

46 b 47 c 48 d 49 c 50 c

51 a 52 a 53 b 54 d 55 c

56 c 57 c 58 d 59 b

Critical Thinking Questions

1 cd 2 a 3 b 4 c 5 b

6 d 7 d 8 a 9 a 10 a

11 c 12 b 13 d 14 a 15 a

16 ab 17 b

ra!hical Questions

1 d 2 a 3 b 4 c 5 d

"ssertion an# $eason

1 e 2 a 3 c 4 c 5 b6 d 7 d 8 a 9 c 10 c

11 a 12 e 13 b 14 a 15 c

16 b 17 d 18 a 19 d 20 c

21 b 22 c 23 a 24 d 25 e

26 d

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Part 02 Question (141 -wererefd 161)

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