aiims,cbse,aipmt, …ibiokaare.com/images/pdf/aipmtquestionset/physics/...1 ) when two tuning forks...
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1 ) When two tuning forks ( fork 1 and fork 2 ) are sounded simultaneously, 4 beats per second are heard. Now, some tape is attached on the prong of fork 2. When the tuning forks are sounded again, 6 beats per second are heard. If the frequency of fork 1 is 200 Hz, then what was the original frequency of fork 2 ?
2 ) An observer moves towards a stationary source of sound with a velocity one-f fth of the velocity of sound. What is the percentage increase in the apparent freq ency ?
3 ) The displacement y of a particle in a medium can be expresse as y 10 6 sin ( 100t + 20x + 4 ) m, where t is in second and x in metre. The speed of
the wave is
y 10 4 sin ( 600t - 20x + 3 ) metres, here x is expressed in metres and t in
5 ) A tuning fork of frequency 256 Hz makes 5 beats per second with the vibrating string of a piano. The beat frequency decr ses to 2 beats per second, when the tension in the piano string is slightly increased. The frequency of the piano string before increasing the tension was
6 ) The displacement of a wave i given by the equation y = 2 sin ( / 1.6 ) ( 64t - x ). The frequency of the wave is
7 ) Transverse are g nerated in two uniform wires A and B by attaching their free ends to a vibrating source of frequency 600 Hz. The diameter of wire A is one-third that of wire B and tension in the wire A is double that in wire B. What is the ratio of velocities of waves of waves in wire A and B ?
8 ) If the phase difference between two points is 60 on a wave velocity of 360 m /s and frequency 500 Hz, then path difference between the two points is
9 ) A resonance air column of length 40 cm resonates with a tuning fork of frequency 450 Hz. Ignoring end correction, the velocity of sound in air will be
forks are sounded again, 6 beats per second are heard. If the frequency of fork 1 is 200
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( a ) 202 Hz ( b ) 200 Hz ( c ) 204 Hz ( d ) 196 Hz
( a ) 0.5 % ( b ) zero ( c ) 20 ( d ) 5 %
( a ) 2000 m/s ( b ) 5 m s ( c ) 20 m/s ( d ) 5 m/s 4 ) The displacement y of a wave travelling in the x – direction is given by
seconds. The speed of the wave motion is ( a ) 200 m/s ( b ) 300 m/s ( c ) 600 m s ( d ) 1200 m/s
( a ) ( 256 + 2 ) Hz ( b ) ( 256 + 5 ) Hz ( c ) ( 256 - 2 ) Hz ( d ) ( 256 - 5 ) Hz
( a ) 30 Hz ( b ) 25 Hz ( c ) 20 Hz ( d ) 15 Hz
( a ) √3 2 ( b ) 2 : √3 ( c ) 3 : √2 ( d ) √2 : 3
( a ) 1 cm ( b ) 6 cm ( c ) 12 cm ( d ) 24 cm
( a ) 720 m /s ( b ) 820 m /s ( c ) 920 m /s ( d ) 1020 m /s
( a ) 320 Hz ( b ) 300 Hz ( c ) 280 Hz ( d ) 260 Hz
10 ) An observer is moving towards a stationary source of frequency 250 Hz with a velocity of 40 m /s. If the velocity of sound is 330 m /s, the apparent frequency heard by the observer will be
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11 ) An open pipe is in resonance in second harmonic with frequency f1. Now one end of the tube is closed and frequency is increased to f2 such that the resonance again occurs in nth harmonic. Choose the correct option.
( a ) n = 3, f2 = ( 3 / 4 ) f1 ( b ) n = 3, f2 = ( 5 / 4 ) f1 ( c ) n = 5, f2 = ( 5 / 4 ) f1 ( d ) n = 5, f2 = ( 3 / 4 ) f112 ) A tuning fork of 512 Hz is used to produce resonance in a resonance ube experiment.
The level of water at first resonance is 30.7 cm and at second reso ance is 63.2 cm. The maximum possible error in calculating velocity of sound in cm s is
13 ) A closed organ pipe of length L and an open organ pipe contain gases of densities 1ρ and 2ρ respectively. The compressibility of gases are equal in both the pipes.
Both the pipes are vibrating in their first overtone wi h the same frequency. The length of the organ pipe is
( a ) 3L ( b )
34L ( c )
2
1ρρ
3
4L ( d )ρρ
34L
1
2
14 ) A source of sound of frequency 600 Hz is placed inside water. The speed of sound in water is 1500 m/s and in air it is 300 m/s . The frequency of sound recorded by an observer who is standing in air is
15 ) A police car moving a 22 m s, chases a motorcyclist. The police man sounds his horn at 76 H , while both of them move t wards a stationary siren f requency 165 Hz. Calculate the speed of the motorcycle, if it is given that he does not observe any beats.
16 ) In th experiment for the determination of the speed of sound in air using the resonance column method, the length of the air column that resonates in the fundamental mode, with a tuning fork is 0.1 m. When this length is changed to 0.35 m, the same tuning fork resonates with the first overtone. Calculate the end correction.
17 ) A siren placed at a railway platform is emitting sound of frequency 5 kHz. A passenger sitting in a moving train A records a frequency of 5.5 kHz while the train approaches the siren. During his return journey in a different train B he records a frequency of 6.0 kHz while approaching the same siren. The ratio of velocity of train B to that of train A is
18 ) A sonometer wire resonates with a given tuning fork forming standing waves with five antinodes between the two bridges when a mass of 9 kg is suspended from the wire. When this mass is replaced by mass M, the wire resonates with the same tuning fork forming three antinodes for the same positions of the bridges. The value of M is
12 ) A tuning fork of 512 Hz is used to produce resonance in a resonance ube experiment.
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( a ) 204.8 ( b ) 102.4 ( c ) 51.2 ( d ) 153.60
( a ) 200 Hz ( b ) 3000 Hz c ) 20 Hz ( d ) 600 Hz
( a ) 33 m / s ( b ) 22 m / s ( c ) zero ( d ) 11 m / s
( a ) 0.012 m ( b ) 0.025 m ( c ) 0.05 m ( d ) 0.024 m
( a ) 242 / 252 ( b ) 2 ( c ) 5 6 ( d ) 11 / 6
( a ) 25 kg ( b ) 5 kg ( c ) 12.5 kg ( d ) 1 25 kg
AIIMS,CBSE,AIPMT, AFMC,Bio.Tech & PMT, Contact :- 9438559863, Mail at :- [email protected],www.ibiokaare.com,compiled by AKB
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19 ) The ends of a stretched wire of length L are fixed at x = 0 and x = L. In one
experiment, the displacement of the wire is y1 = A sin Lx sin t and energy is E1
and in another experiment, its displacement is y2 = A sin
πL
x2 sin 2 t nd energy is
E2. Then ( a ) E2 = E1 ( b ) E2 = 2E1 ( c ) E2 = 4E1 ( d ) E2 = 16E1
20 ) Two pulses in a stretched string, whose centres are initially 8 cm apart, are moving towards each other as shown in the figure. The speed of each pulse is 2 cm/s. After 2 seconds, the total energy of the pulses will be
( a ) zero ( b ) purely kinetic ( c ) purely potential ( d ) partly kinetic and partly potential
1. If the speed of the train is reduced to 17 m s, the frequency registered is f2. If the speed of sound is 340 m s, then the ratio f1 f2
22) Two vibrating strings o the same material but lengths L and 2L have radii 2r and r respectively. They are st etched under the same tension. Both the strings vibrate in their fundamental mode , the one of length L with frequency 1 and the other with frequency
2. The ratio ν1 ν2
23 ) Two monoatomic ideal gases 1 and 2 of molecular masses m1 and m2 respectively are enclosed in separate containers kept at the same temperature. Te ratio of the speed of sound in gas 1 to that in gas 2 is given by
( a ) 21
mm
( b ) 12
mm
( c ) 21
mm
( d ) 12
mm
24 ) The ratio of the speed of sound in nitrogen gas to that in helium gas at 300 K is
( a ) 72 ( b )
71 ( c )
53 ( d )
5
25 ) As a wave propagates ( a ) the wave intensity remains constant for a plane wave ( b ) the wave intensity decreases as the inverse of the distance from the source for a
spherical wave ( c ) the wave intensity decreases as the inverse of the square of the distance from the
source for a spherical wave. ( d ) total intensity of the spherical wave over the spherical surface centered at the
t nd energy is
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26 ) Y ( x, t ) = ]5 )5t 4x ([
8.02 represents a moving pulse where x and y are n metres
28 ) Standing waves can be produced ( a ) on a string clamped at both ends ( b ) on a string clamped at one end and free at the other ( c ) when incident wave gets reflected from a wall
29 ) In hydrogen spectrum, the wavelength of H ne is 656 nm, whereas in the spectrum of a distant galaxy, H line wavelength is 706 nm. Estimated speed of galaxy with respect to earth is
30 ) A string of length 0.4 m and mass 0.01 kg is tightly clamped at its ends. The tension in the string is 1.6 N. Identica wave pulses are produced at one end at equal intervals of time ∆t, which allows constructive interference between successive pulses is
31 ) The ( x, y ) coordinates f the corners of a square plate are ( 0, 0 ), ( L, 0 ), ( L, L ) and ( 0, L ). The edges of the plate are clamped and transverse standing waves are set up in it. If u ( x, y ) denotes the displacement of the plate at the point ( x, y ) at some instant of t me, the possible expression ( s ) for u is ( are ) ( a = positive constant )
( a ) a cos π2L
x cos
2L
y ( b ) a sin πLx sin
Ly
( c ) a sin Lx sin π
Ly2 ( d ) a cos π
Lx2 sin
L32 ) A transverse sinusoidal wave of amplitude a, wavelength λ and frequency f is travelling
on a stretched string. The maximum speed of any point on the string is v / 10, where v is the speed of propagation of the wave. If a = 0.001 m and v = 10 m / s, then λ and f are given by
( a ) λ = 2π × 10 2 m ( b ) = 10 3 m
( c ) f = 2
103 Hz ( d ) f = 104
33 ) A traveling wave in a stretched string is described by the equation y = A sin ( kx - t ). The maximum particle velocity is
( d ) it is a symmetric pulse
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and t in second. Then ( a ) pulse is moving positive X-direction ( b ) in 2 s it will travel a distance of 2.5 m ( c ) its maximum displacement is 0.16 m ( d ) it is a symmetric pulse 27 ) In a wave motion y = A sin ( kx - t ), y can represent ( a ) electric field ( b ) magnetic field ( c ) displacement ( d ) pressure
( d ) when two identical waves with a phase difference of are moving in the same direction
( a ) 2x10^8 m s ( b ) 2x10^7 m s ( c ) 2x10^6 m / s ( d ) 2x10^5 m / s
( a ) 0.05 s ( b ) 0.10 s ( c ) 0.20 s ( d ) 0.40 s
y
Hz
( a ) Aω ( b ) / k ( c ) d / dk ( d ) x
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34 ) A whistle giving out 450 Hz approaches a stationary observer at a speed of 33 m s. The frequency heard by the observer in Hz is
35 ) The extension in a string, obeying Hooke’s law is X. The speed of sound in the stretched string is V. If the extension in the string is increased to 1.5 X, t e speed of sound will be
2
t
21 sin ( 1000t ).
38 ) Two identical straight wires are stretc ed so as to produce 6 beats per second when vibrating simultaneously. On cha ing the tension slightly in one of them, the beat frequency remains unchanged. Deno ing by T1, T2, the higher and the lower initial tensions in the strings, it co ld b said that while making the above changes in tension
( a ) T2 was decreased ( b ) T1 was increased ( c ) T2 was increased ( d ) T1
39 ) A wave is represented by the equation y = A sin ( 10 πx + 15 πt + 3 ), where x is in metres and t is n seconds. The expression represents
40 ) Velocity o sound in air 320 m / s. A pipe closed at one end has a length of 1 m. Neglecting end corrections, the air column in the pipe can resonate for sound of freque cy
41 ) A wave represented by the equation y = a cos ( kx - t ) is superposed with another wave to form a stationary wave such that the point x = 0 is a node. The equation for the other wave is
42 ) An organ pipe P1, closed at one end and vibrating in its first harmonic, and another pipe P2, open at both ends and vibrating in its third harmonic, are in resonance with a given tuning fork. The ratio of the length of P1 to that of P2 is
( a ) 38 ( b )
83 ( c )
21 ( d )
3
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( a ) 409 ( b ) 429 ( c ) 517 ( d ) 500
( a ) 1.22 V ( b ) 0.61 V ( c ) 1.50 V ( d ) 0.75 V
36) An open pipe is suddenly closed at one end with the result that the frequency of third harmonic of the closed pipe is found to be higher by 100 Hz than the fundamental frequency of the open pipe. The fundamental frequency of the open pipe is
37 ) The displacement y of a particle executing periodic motion is given by
y = 4 cos
The expression may be considered to be a res lt of the superposition of _______ independent harmonic motions.
( a ) two ( b ) three ( c ) four ( d ) five
was decreased
( a ) a wave traveling n the positive x-direction with a velocity 1.5 m s ( b ) a wave traveling in the negative x-direction with a velocity 1.5 m / s ( c ) a wave traveling in the negative x-direction having a wavelength 0.2 m ( d ) a wave raveling in the positive x-direction having a wavelength 0.2 m
( a ) 80 Hz ( b ) 240 Hz ( c ) 320 Hz ( d ) 400 Hz
( a ) a sin ( kx + ωt ) ( b ) - a cos ( kx - ωt ) ( c ) - a cos ( kx + ωt ) ( d ) - a sin ( kx - ωt )
1
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43 ) The displacement of particles in a string stretched in the x-direction is represented by y. Among the following expressions for y, those describing wave motion are
( a ) cos kx sin t ( b ) k2x2 - 2t2
( c ) cos2 ( kx + ωt ) ( d ) cos ( k2x2 - 2t2
44 ) A tube closed at one end and containing air produces, when excited, the fundamental note of frequency 512 Hz. If the tube is open at both ends the fundam ntal frequency that can be excited is ( in Hz )
45 ) An air column in a pipe which is closed at one end, wil be in resonance with a vibrating tuning fork of frequency 264 Hz if the length of the column in cm is
46 ) A transverse wave is described by the equation = 0 sin 2π ( ft - x / λ ). The maximum particle velocity is equal to four times he wave velocity if
( a ) =4Y0
( b ) λ =2Y0 ( c ) 0Y ( d ) 2 0
47 ) A wave equation which gives the displac ment along the y-direction is given by y = 10 4 sin ( 60t + 2x ) where x and y re in metres and t is time in seconds. This
( b ) of wavelength m ( c ) of frequency 30 / π H ( d ) of amplitude 10 4
48 ) A cylindrical tube, pen at both ends, has a fundamental frequency f in air. The tube is dipped vertically in water so that half of it is in water. The fundamental frequency of the air-column is now
( a ) 2f ( b )
2f3
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( a ) 31.25 ( b ) 62.50 ( c ) 93.75 ( d ) 125
Y
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( c ) f ( d ) 2f
represents a wave ( a ) traveling with a velocity of 30 m / s in the negative x-direction
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49. A body of mass 1 kg suspended from the free end of a spring having force constant 400 Nm-1 isexecuting S.H.M. When the total energy of the system is 2 joule, the maximum acceleration is………ms – 2 .(a) 8 ms – 2 (b) 10 ms – 2 (c) 40 ms – 2 (d) 40 cms – 2
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21 kyAm 2
21 ky 222
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l2
k
k
angular frequency ù. The total energy of the system comprisingof the block and spring is ……….
50. When a block of mass m is suspended from the free end of a massless spring having force constantk, its length increases by y. Now when the block is slightly pulled downwards and released, it startsexecuting S.H.M with amplitude A and
the turn table is rotated with 51. A spring is attached to the center of a frictionless horizontal turn table and at the other end a
body ofmass 2 kg is attached. The length of the spring is 35 cm. Now when
oscillates alongvertical direction, the ratio of their periodic time is
52. As shown in figure (a) and (b), a body of mass m is attached at the ends of the spring system. All springs have the same spring constant k. Now when both systems
54. A small spherical steel ball is placed at a distance slightly away from the center of a concave mirrorhaving radius of curvature 250 cm. If the ball is released, it will now move on the curved surface.What will be the periodic time of this motion? Ignore frictional force and take g = 10 m/s2.
l and mass m. Therod could rotate about its mid-point O as shown in figure. Now, if the point A of the rod is pressed slightly and released, the rod starts executing oscillatory motion. The periodic time of thismotion is ………
55. Two identical springs are attached at the opposite ends of a rod having length
(a) (b) (c) (d)
anangular speed of 10 rad s – 1 , the length of the spring becomes 40 cm then the force constant of thespring is ……….. N/m.
(a) 1.2 x 103 (b) 1.6 x 103 (c) 2.2 x 103 (d) 2.6 x 10 3
(a) ¼ (b) ½(c) 2 (d)4
53. A simple pendulum is executing S.H.M. around point O between the end points B and C with aperiodic time of 6 s. If the distance between B and C is 20 cm then in what time will the bob movefrom C to D? Point D is at the mid-point of C and O.(a) 1 s (b) 2 s (c) 3 s (d) 4 s
(a)
(b) p s (c)
(d) 2p s
(a) k
2 (b) 2
(d) k(c) k
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lT 2lT
2 lT
2lT
.
effglT 2 , where geff
θ θ
72
52
mv
mv 2
PE
Ot
v
56. A simple pendulum having length l is suspe nded at the roof of a train moving with constant acceleration‘a’ along horizontal direction. The periodic time of this pendulum is ………
57. A trolley is sliding down a frictionless slope having inclination è. If a simple pendulum is suspendedon top of this trolley, its periodic time is given by
θ
is attached at the lower endof the spring, the length of the spring increases by 2.5 cm. Now, if the mass is displaced by a smallamount and released, the amplitude of the resultant oscillation is ………..
having force constant k and length 50 cm is attached at the 58. One end of a massless spring upper endof a plane inclined at an angle è = 300.When a body of mass m = 1.5 kg
59. Two blocks A and B are attached to the two ends of aspring having length L and force constant k on a horizontal surface. Initially the system is in equilibrium. Now a third block having same mass m, moving withvelocity v collides with block A. In this situation………
A-B will be mv2 / 4
contraction of the spring is k
60. The displacement of a particle executing S.H.M. is given by y = 4Cos2(t/2)Sin1000t. This displacementis due to superposition of ………… S.H.M.’s.
61. The displacement of a particle is given by x = A Cost. Which of the following graph represents variation in potential energy as a function of timet and displacement x.
(A) I, III (B) II, IV
(C) II, III (D) I, IV
(a) g (b) g a (c) g a (d) 2 2 2g a
f = ………..(a) g (b) g sin (c) g cos (d) g tan
(a) 7
(b) (c) 5
(d)
(a) During maximum contraction of the spring,the kinetic energy f the systemA-B will be zero.(b) During maximum contraction of the spring, the kinetic energy of the system
(c) Maximum
(d) Maximum contraction of the spring is k
(a) 2 (b) 3 (c) 4 (d) 5
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2
545
558
5
2
4gT
2
k kgMm )(
kgmM )(
Amax = kgmM )(2
62. A system is executing S.H.M. The potential energy of the system for displacement x is E1 and for a displacement of y, the potential energy of the system is E2. The potential energy
for a displacementof (x+y) is ………
63. A system is executing S.H.M. with a periodic time of 4/5 s under the influence of force F1. When a force F2 is applied, the periodic time is (2/5) s. Now if F1 and F2 are applied simultaneously alongthe same direction, the periodic time will be ………
64. The periodic time of a simple pendulum is 3.3 s. Now if the point of support of the pendulum startsmoving along the vertically upward direction with a velocity v = kt ( where k = 2.1 m/s2 ), then
65. A block is placed on a horizontal table. The table executes S.H.M. along the horizontal plane with aperiod T. The coefficient of static friction between the table and block is µ. The maximum
amplitudeof oscillation should be ………so that the block does not slide off the table.
66. As shown in figure, a block
static friction between the surfaces of the block’s is µ.
to a wall. Another block B having mass ‘m’ is placed on top of block A. Now on displacing this system horizontallyand released, it executes S.H.M. What should be the maximum amplitude
A having mass M is attached to one end of a massless spring. The block is on a frictionless horizontal surface and the free end of the spring is attached
of oscillation so that Bdoes not slide off A Coefficient of
(a) E1 + E2 (b) 2
2(C) E1 + E2 + 2 E1E2 (D) E1E2E1 E
(a) 5 54
(b) (c) 4 58
(d)
thenew periodic time is …………… s. { Take g = 10 m/s2 }(a) 3 (b) 2.5 (c) 3.33 (d) 2.33
(a) gT
(b) 2 (c) gT
(d) µgT
(a) Amax = mg
(b) A max =
( c) Amax = (d) A
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U(x)U(x)
U(x)U(x)
(A) (B)
(C) (D)
amplitude is 2
2
g
67. A particle is executing S.H.M. about the origin at x = 0. Which of the following graph showsvariation in potential energy with displacement?
A coin is placed on top of this plank. If the amplitude of oscillation is increased gradually, for what maximumamplitude will the coin be on the verge of loosing contact with the plank?
68. A horizontal plank is executing SHM along the vertical direction with angular frequency ù.
(a) When is plank is at its maximum height (b) When the plank is at the midpoint.
(d) When the (c) When the amplitude is 2
Assertion – Reason type questions :
Note:
For the following questions, statement as well as the reason(s) are given. Each questions has four options.Select the correct option.
(a) Statement – 1 is true, statement- 2 is true; statement-2 is the correct explanation of statement – 1 .
(b) Statement – 1 is true, statement- 2 is true but statement-2 is not the correct explanation of statement– 1 .
(c) Statement – 1 is true, statement- 2 is false
(d) Statement – 1 is false, statement- 2 is true(a) a (b) b (c) c (d) d
69. Statement – 1 : If a spring having spring constant k is divided into equal parts, then the springconstant of each part will be 2k.
Statement – 2 : When the length of the elastic spring is increased ( stretched ) by x, then the amount
(a) a (b) b (c) c (d) dof work required to be done is kx
21 2
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periodic time glT 2
l2 .
(A) a (B) b (C) c (D) d
70. Statement – 1 : The periodic time of a S.H.O. depends on its amplitude and force constant.Statement – 2 : The elasticity and inertia decides the frequency of S.H.O.
(a) a (b) b (c) c (d) d
71. Statement – 1 : For small amplitude, the motion of a simple pendulum is a S.H.M. with
. For large amplitudes, periodic time is greater than g
Statement – 2 : For large amplitude, the speed of the bob is more when it passes through themid-point ( equilibrium point ).(a) a (b) b (c) c (d) d
72. Statement – 1 : Periodic time of a simple pendulum is independent of the mass of the bob.Statement – 2 : The restoring force does not depend on the mass of the bob.(a) a (b) b (c) c (d) d
73. Statement – 1: The periodic time of a simple pendulum increases on the surface of moon.Statement – 2 : Moon is very small as compared to Earth.(a) a (b) b (c) c (d) d
74. Statement – 1: If the length of a simple pendulum is increased by 3%, then the periodic timechanges by 1.5%.Statement – 2 : Periodic time of a simple pendulum is proportional to its length.
(A) a (B) b (C) c (D) d
75. Statement – 1: For a particle executing S.H.M. with an amplitude of 0.01 m and frequency30
hz, the maximum acceleration is 36p2 m/s2.Statement – 2 : The maximum acceleration for the above particle is
(A) a (B) b (C) c (D) d
+ ù2A, where A is
amplitude.
76. Statement – 1 : The periodic time of a stiff spring is less than that of a soft spring.Statement – 2 : The periodic time of a spring depends on its force constant value and for a stiffspring, it is more.
77. Statement – 1 : The amplitude of an oscillator decreases with time.Statement – 2 : The frequency of an oscillator decreases with time.(A) a (B) b (C) c (D) d
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v
and f’.
78. Statement – 1 : For a particle executing SHM, the amplitude and phase is decided by its initialposition and initial velocity.Statement – 2 : In a SHM, the amplitude and phase is dependent on the restoring force.(A) a (B) b (C) c (D) d
NOTE: Questions 79 to 81 are based on the following passage.Passage – 1:As shown in figure, two light springs having force constants k1 = 1.8 N m – 1 and k2 = 3.2 N m – 1
and a block having mass m = 200 g are placed on a frictionless horizontal surface. One end of both springs areattached to rigid supports. The distance between the free ends of the spring is 60 cm
and the block ismoving in this gap with a speed v = 120 cm s – 1 .
ispassing through the mid-point of its path of motion, a body of mass m is placed on top of it, as a result ofwhich its amplitude and frequency changes to A’
M is executing SHM with amplitude A and frequency f. When the blocka spring having force constant k. The other end of the spring is attached to a rigid wall. This systemconsisting of spring and mass
NOTE: Questions 82 to 84 are based on the following passage.Passage – 2 :A block having mass M is placed on a horizontal frictionless surface. This mass is attached to one end of
(A) 1+ (5p/6) s (B) 1+ (7p/6) s (C) 1+ (5p/12) s (D) 1+ (7p/12) s
(A) p s (B) (2/3) s (C) (p/3) s (D) (p/4) s81. What will be the periodic time of the block, between the two springs?
taken for it to get maximum compressedfrom point C?
80. When the block is moving towards k1, what will be the time
getmaximum compressed from point D?
(A) p s (B) (p/2) s (C) (p/3) s (D) (p/4) s
79. When the block is moving towards spring k2, what will be the time taken for the spring to
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82. The ratio of frequencies f = ………..
(A)
MmM
(B)
Mmm
(C)
'mAMA
(D)
mA
AmM ')(
v1
= ……….
(A)
MmM
(B)
MmM
(C) AA
mMmM 1
(D) AA
mMmM 1
.
84. The ratio of amplitudes AA1
= …….
(A)
mmM
(B)
mMm
(C)
mMM
(D)
MmM
f '
NOTE: Questions 85 to 90 are based on the following passage.
Passage – 3:
The equation for displacement of a particle at time t is given by the equation y = 3Cos2t + 4Sin2t.
.85. The motion of the particle is ………(A) Damped motion (B) Periodic motion (C) Rotational motion (D) S.H.M.86. The periodic time of oscillation is ………
(A) 2 s (B) p s (C) (/2) s (D) 2p s
87. The amplitude of oscillation is ……cm
(A) 1 (B) 3 (C) 5 (D) 7
88. The maximum acceleration of the particle is ……..cm / s2.
(A) 4 (B) 12 (C) 20 (D) 28
89. If the mass of the particle is 5 gm, then the total energy of the particle is ……erg.
(A) 250 (B) 125 (C) 500 (D) 375
90. The frequency of the particle is ………s- 1 .
(A) (1/p) (B) p (C) (1/2p) (D) (p/2)91. Equation for a harmonic progressive wave is given by y = A sin ( 15pt + 10px + p/3) where x
is inmeter and t is in seconds. This wave is ……….(A) Travelling along the positive x direction with a speed of 1.5 ms – 1B) Travelling along the negative x direction with a speed of 1.5 ms – 1
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83. If the velocity before putting the mass and after putting it is v and v1 respectively, then v
(C) Has a wavelength of 1.5 m along the – x direction.
(D) Has a wavelength of 1.5 m along the positive
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(A) vm > vd ( B ) vm < vd ( C ) vm = vd ( D ) vm >> vd
2:5. The
(A) 2:5 (B) 5:2 (C) 3:5 (D) 5:3
Sin
50.004.02 xt All values are in mks )
(A) 6.25 (B) 4.0 (C) 12.5 (D) 0.5
A Sin2p
x
T
(A) 4A
(B) 2A
(C) pA (D) 2pA
ratio of theirwavelengths will be ………
93. The ratio of frequencies of two waves travelling through the same medium is
94. If the maximum frequency of a sound wave at room temperature is 20,000 hz then its minimumwavelength will be approximately ……… ( v = 340 ms – 1 )
92. If the velocity of sound wave in humid air is vm and that in dry air is then…… vd,
(A) 0.2 A 0 ( B ) 5 A 0 ( C ) 5 cm to 2 m (D) 20 mm
95. If the equation of a wave in a string having linear mass density 0.04 kg m – 1 is given by y = 0.02
, then the tension in the string is …………..N. (
96. If the equation for a transverse wave is y =
maximum velocity of the particle be double the wave velocity?
t, then for what wavelength will the
97. Consider two points lying at a distance of 10 m and 15 m from an oscillating source. If the periodictime of oscillation is 0.05 s and the velocity of wave produced is 300 m/s, then what will be thephase difference the two points?(A) p (B) p/6 (C) p/3 (D) 2p/3
1 1 1 1f f f f1 2 3
(D) 1 1 1 1f f f f1 2 3
(C)
f f1 f 2 f (B) f = f1 + f2 + f3(A) 3
98. A string is divided into three parts having lengths l1, l2 and l3 each. If the fundamental frequencyof these parts are f1, f2 and f3 respectively, then the fundamental frequency of the originalstring f = ……….
(A) 360 (B) 180 (c) 60 (D) 3
99. Waves produced by two tuning forks are given by y1 = 4Sin500pt and y2 = 2Sin506pt. The
numberof beats produced per minute is …….
(A) 180 (B) 360 (C) 720 (D) 540
100. Equation for a progressive harmonic wave is given by y = 8Sin2p( 0.1x – 2t), where x and y are incm and t is in seconds. What will be the phase difference between two particles of this waveseparated by a distance of 2 cm?
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 d c b b b c d c a c c a c d b b b a c b d
22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 d b c a,c,d b,c,d all a,b,c b b b,c a,c a d a a b c,d b,c a,b,d
65 (B)66 (B)67 (D)
51 (B) 82 (A) 52 (B) 83 (A53 (A) 84(C) 54 (B) 85 (D)
55 C) 86 (B)56 (D) 87 (C)57 (C) 88 (C)58 (A) 89 (A59 (B) 90 (A)60 (B) 91 (B)61 (A) 92 (A)62 (C) 93 (B)63 (A) 94 (D)64 (A) 95 (A)
68 (C)
69 (B)
70 (D)
71 (B)
72 (C)
73 (B)
74 (C)
75 (B)
76 (A)
77 (C)
78 (C)
79 (D)
80 (C)
41 42 43 44 45 46 47 48 c b a a a,c b a,b,c,d c
50 (B) 81 (D) 96 (C)97 (D)98 (C)99 (B) 100 (C)
49C
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