CBSE Questions for Class 11 Engineering Physics Oscillations Quiz 15 - MCQExams.com

A simple pendulum of length has a bob of mass mm . The work done in projecting the bob
horizontally from the mean position to give it an angular displacement of 6060 is
  • mg2mg2
  • $$

    \sqrt{3} \frac{\mathrm{mg{\ell}}{2}

    $$
  • mg2(23)mg2(23)
  • zero
A spring executes SHM with mass of 10 kg attached to it. The force constant of spring is 10 N/m.If at any instant its velocity is 40 cm/sec. The displacement will be (here amplitude is0.5m) 
  • 0.06 m
  • 0.3 m
  • 0.01 m
  • 1.0 m
The frequency of a simple pendulum is n oscillations per minute while that of another is (n +1)+1) oscillations per minute. The ratio of the length of the first pendulum to the length of second is-
  • nn+1nn+1
  • (n+1n)2(n+1n)2
  • (n+1n)2(n+1n)2
  • (nn+1)2(nn+1)2
The equation of a damped simple  harmonic motion is md2xdt2+bdxdt+kx=0md2xdt2+bdxdt+kx=0. Then the angular frequency of oscillation is 
  • ω=(kmb24m2)1/2ω=(kmb24m2)1/2
  • ω=(kmb4m)1/2ω=(kmb4m)1/2
  • ω=(kmb24m)1/2ω=(kmb24m)1/2
  • ω=(kmb24m2)ω=(kmb24m2)
A paramedical staff nurse improvises a second's pendulum (time period 2 s) by fixing one end of a string of length LL to a ceiling and the other end to a heavy object of negligible size. Within 60 oscillations of this pendulum, she finds that the pulse of a wounded soldier beats 110 times. A symptom of bradycardia is pulse <60<60 per minute and that of tachycardiais >100>100 per minute. Then the length of the string is nearly symptoms of 
  • I m,m, bradycardia
  • 4m,4m, bradycardia
  • I m, tachycardia
  • 4m,4m, tachycardia
A bob of a simple pendulum executing SHM in air has time period ToTo and in water has time period T. Neglect friction. Relation between T and ToTo if density of bob is 4/3×103kg/m34/3×103kg/m3, is
  • T=ToT=To
  • T=T02T=T02
  • T=2ToT=2To
  • T=4ToT=4To
The mass of the bob of a simple pendulum of length L is m. If the bob is left from its horizontal position then the speed of the bob and the tension in the thread at the lowest position of the bob will be respectively :-
1419646_c42d69efef174c53a6779aa7d5ebe0d3.PNG
  • 2gL2gL and 3 mg
  • 3 mg and 2gL2gL
  • 2 mg and 2gL2gL
  • 2 gL and 3 mg
A conical pendulum suspended in a lift, which is at rest, is performing U.C.M. in a horizontal circle with speed v and radius r. Now the lift moves upward with acceleration g/If the radius of the circular motion is kept same, the new speed of the bob is : 
  • v
  • 1.224 v
  • 1.414 v
  • 2 v
Under the action of a force F=kx3F=kx3, the motion of a particle is (kk= a positive constant)
  • simple harmonic motion
  • uniformly accelerated motion
  • not periodic
  • periodic but not simple harmonic
If a simple pendulum with length LL and mass of the bob mm is vibrating with an amplitude "a', then
the maximum tension in the string is

  • mg2mg2
  • mg2[1+2(aL)2]mg2[1+2(aL)2]
  • mg[1+(aL)2]mg[1+(aL)2]
  • mg2[1+(aL)]2mg2[1+(aL)]2
A particle of mass m is in SHM, with velocity V0V0 at its lowest position. The maximum height attained by the pendulum will be
  • V202gV202g
  • V0gV0g
  • 2V0g2V0g
  • V204gV204g
A particle executes S.H.M with a period of 8s8s. Find the time in which the potential energy is equal to half of the total energy.

  • 2 s2 s
  • 4 s4 s
  • 1 s1 s
  • 0.5 s0.5 s
A simple pendulum with  a bob of mass m swings with angular amplitude of 60o60o, when its angular displacement 30o30o, find the tension of string
  • mg2mg2
  • 33mg233mg2
  • mg3(332)mg3(332)
  • 3mg23mg2
Two graphs of the same harmonic wave are shown below. The graph (1) on the left shows the displacement of wave y, as a function of position x for a given instant of time. The graph (2) on the right shows the displacement of a wave as a function of time 't' for a given position. The speed of the wave is 
1408111_100a3764e98b470a9651c86e525c54a2.png
  • 5.0 cms2cms2
  • 0.5cms2cms2
  • 0.4cms2cms2
  • 4.0cms2cms2
If FF force vector, vv is velocity vector, aa vector is acceleration vector and rr vector is displacement vector with respect to mean position than which of the following  quantities are always non-negative in a simple harmonic motion along a straight line?
  • F.aF.a
  • V.rV.r
  • a.ra.r
  • F.rF.r
A simple pendulum of length    carries a bob of mass  m.m.  When the bob is at its lowest position, it is given the minimum horizontal speed necessary for it to move in a vertical circle about the point of suspension. When the string is horizontal, the net force on the bob is
  • mgmg
  • 3mg3mg
  • 10mg10mg
  • 4mg4mg
A simple harmonic motion is given by y=5(sin3πt+3cos3πt)y=5(sin3πt+3cos3πt). What is the amplitude of motion if y in m?
  • 1010 cm
  • 55 cm
  • 200200 cm
  • 10001000 cm
A simple pendulum is vibrating with an an angolar amplitude of 9090,For what values of   with vertical, the accelcration is directed 
In sertically upwards
2) horizontally
vertically downwerds

  • 0,cos113,900,cos113,90
  • cos4(13)coswcos4(13)cosw
  • 90,cos113,090,cos113,0
  • cos4(13),σcos4(13),σ
Two SHMs are represented by the equations y1=0.1siny1=0.1sin[100π+(π/3)][100π+(π/3)] and y2=0.1cosπty2=0.1cosπt The phase difference of the velocity of particle 1 with respect to the velocity of particle 2 is 
  • π6π6
  • π3π3
  • π3π3
  • π6π6
Time period of a simple pendulum is TT and its angular amplitude is θ0θ0. Find time taken by the bob to move from equilibrium position OO to PP if at this instant string makes an angle θθ with the vertical.
  • Tπsin1θθ0Tπsin1θθ0
  • T2πsin1θθ0T2πsin1θθ0
  • Tsin1θ0θTsin1θ0θ
  • Tsin1θθ0Tsin1θθ0
A simple pendulum has a bob suspended by an inextensible thread of length  11  metre from a point  AA  of suspension. At the extreme position of oscillation, the thread is suddenly caught by a peg at a point  BB  distant  (1/4)(1/4)  from  AA  and the bob begins to oscillate in the new condition. The change in frequency of oscillation of the pendulum is approximately given by  (g=10m/s2).(g=10m/s2).
1444523_fa3ef8838e0a4da2af949f078832db61.png
  • 102102 Hz
  • 14101410 Hz
  • 103103 Hz
  • 110 Hz
For a particle executing SHM along xx- axis force is given by: 
  • -Akx
  • A cos kx
  • A exp ( -kx)
  • Akx
A particle executes simple harmonic motion according to equation 4d2xdt2+320x=0. Its time period of oscillation is
  • 2π53 s
  • π32 s
  • π25 s
  • 2π3 s
The displacement of a body executing S.H.M from its mean portion is given by x=0.5sin(10πt+1.5)cos(10πt+1.5). The ratio of the maximum velocity to the maximum acceleration of the body is given by
  • 20π
  • 120π
  • 110π
  • 10π
A particle performs SHM with amplitude A 8time period T. The mean velocity of theparticle over the time interval during which it travels a distance of A2 starting fromextreme position is
  • AT
  • 2AT
  • 3AT
  • A2T
A simple pendulum of period T has a metal bob which is negatively charged. If it is allowed to oscillate above a positively charged metal plate its period will be
  • Remains equal to T
  • Less than T
  • Greater than T
  • Infinite
A particle moves under force F=5(x2)3.Motion of the particle is 
  • Translatory
  • Oscillatory
  • SHM
  • All of these
A particle executes SHM. Its instantaneous acceleration is given by a = - px, where p is a constant and x is the displacement from the mean position. The angular frequency of the particle is given by.
  • p
  • 1/p
  • p
  • 1 / p
A  wooden cylinder of mass 20 g and area of cross-section 1 cm2, having a piece of lead of  mass 60 g attached to its bottom floats in water. The cylinder is depressed and then released.Show that it will execute S.H.M .Find the frequency of oscillations.
  • 0.557 s1
  • 0.55s1
  • 0.545 s1
  • 0.513 s1
The potential energy of a simple harmonic oscillator of mass 2 kg in its mean position is 5J If its total energy is  9J and Its amplitude is 0.01 its time period would be 
  • π10sec
  • π20sec
  • π50sec
  • π100sec
A particle is performing SHM with energy of vibration 90 J and amplitude 6 cm . When the particlere aches at distance 4 cm from mean position, it is stopped for a moment and then released. The new energy of vibration will be
  • 40 J
  • 50 J
  • 90 J
  • 60 J
If the equation of an SHM is y=asin(4πt+θ),how much is its frequency?  
  • 2 Hz
  • 1/2Hz
  • 2πHz
  • 1/2πHz
If a simple pendulum is taken to a place where g decreases by 2%, then the time period
  • increases by 1%
  • decreases by 1%
  • increases by 2%
  • decreases by 2%
A particle has displacement y given by y=3 sin (5πt+π) where y is in metre and t is in second. What are frequency and period of motion?
  • 0.4 Hz, 2.5 sec
  • 2.5 Hz, 0.4 sec
  • 2.5 Hz, 2.5 sec
  • 0.4 Hz, 0.4 sec
A small body of mass 0.10 kg is undergoing simple harmonic motion of amplitude 1.0 meter and period of 0.2 sec. The maximum value of the force acting on it is :
  • 99 N
  • 66 N
  • 33 N
  • 11 N
Two pendulums have time periods T and 5 T/4They start SHM at the same time from the mean position. After how many oscillations of the small pendulum they will be again in the same phase?
  • 5
  • 4
  • 11
  • 9
In simple harmonic motion, the graph between kinetic energy K and time 't' is :
  • none 
  • both
If the equation of an SHM is y=a sin (4πt+θ), how much is its frequency?
  • 2
  • 1/2
  • 2π
  • 1/2π
The oscillation of a body on a smooth horizontal surface is represented by the equation, 
X=Acos(ωt)
where X= displacement at time T,ω= frequency of oscillation
Which one of the following graphs shows correctly the variation a with t?
Here a= acceleration at time, T= time period
A small spherical steel ball is placed a little away from the centre of a large concave mirror whose radius of curvature R=2.5cm. When the ball is released it begins to oscillate about the centre, the motion of the ball is is simple harmonic then the period of motion is Neglect friction, and take g=10m/sec2.
  • 1.423 sec
  • 2.412 sec
  • 3.142 sec
  • 3.802 sec
The reading of a spring balance when a block is suspended from it in air is 60N. The reading is changed to 40N when the block is submerged in water. The specific gravity of the block must be therefore.
  • 3/2
  • 6
  • 2
  • 3
The equation of a particle in S.H.M is a+16π2x=0. In the equation a is the linear acceleration (in m/sec2) of the particle at a displacement x in meter. The time period of SHM in seconds is :
  • 14
  • 12
  • 1
  • 2
A simple pendulum (whose length is less than that of a second's pendulum) and a second's pendulum starts swinging in phase. They again swing in phase after an interval of 18 second from the start. The period of the simple pendulum is
  • 0.9 sec
  • 1.8 sec
  • 2.7 sec
  • 3.6 sec
Wave has simple harmonic motion whose period is 4 seconds while another wave which also possess simple harmonic motion has its period 3 second. If both are combined, then the resultant wave will have the period equal to
  • 4s
  • 5s
  • 12s
  • 3s
A wedge of mass m is kept on smooth surface and connected with two springs as shown in the figure.Initially springs are in their natural length. Time period of small oscillations of the wadge will be


1503495_4b11af93ea254c41b945c38413ecf1ad.png
  • 3π2mk
  • π(1+13)mk
  • π(1+23)mk
  • πmk
The phase difference between displacement and acceleration in SHM is
  • π4
  • π2
  • π
  • 2π
Two practice undergo SHM under parallel time in same time period and equal amplitude At particular instant one particle is at extreme position while other is at mean position they mean in same direction they will cross each other is at mean position they mean in in same direction they will cross each other after time 
  • T2
  • 3T8
  • T6
  • 3T4
A mass is considered so that can only move in one dimission along the Xaxis .The potential energy of the mass as s function of X-is shown on the diagram.There is a force in the negative X-direction at.
1560979_95cbc350e52e4069b679616fbe68c4ec.png
  • B
  • E
  • C
  • D
When two simple harmonic motions of same periods, same amplitude, having phase difference of 3π/2, and at right angles to each other are super imposed. The resultant wave form is a:
  • circle
  • parabola
  • ellipse
  • None of these
Two bodies A and B of equal mass are suspended from two spearte massless springs of spring contnat K1 and  respectively If the bodies oscillate vertically such that their maximum velocities are ewqual , the ratio of the amplitude of A to that of B is 
  • K1/K2
  • K1/K2
  • K2/K1
  • K2/K1
0:0:2


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