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CBSE

NEET Physics : Oscillations

Multiple Choice Questions

81.

A particle executes simple harmonic motion of period T and amplitude l along a rod AB of length 2l. The rod AB itself executes simple harmonic motion of the same period and amplitude in a direction perpendicular to its length. Initially, both the particle and the rod are in their mean positions. The path traced out by the particle will be

a circle of radius l
a straight line inclined at $\frac{π}{4}$ to the rod
an ellipse
a figure of eight

82.

Assertion: In the relation f = $\frac{1}{2 l} \sqrt{\frac{T}{μ}}$ , where symbols have standard meaning, μ represents linear mass density.

Reason: The frequency has the dimensions of inverse of time.

If both assertion and reason are true and reason is the correct explanation of assertion
If both assertion and reason are true but reason is not the correct explanation of assertion
If assertion is true but reason is false
If both assertion and reason are false

83.

A ball is suspended by a thread of length L at the point O on a wall which is inclined to the vertical $α$ . The thread with the ball is displaced by a small angle β away from the wall. If the ball is released, the period of oscillation of the pendulum when β > $α$ will be

$\sqrt{\frac{L}{g}} [π + 2 \sin^{- 1} \frac{α}{β}]$
$\sqrt{\frac{L}{g}} [π - 2 \sin^{- 1} \frac{β}{α}]$
$\sqrt{\frac{L}{g}} [2 \sin^{- 1} \frac{β}{α} - π]$
$\sqrt{\frac{L}{g}} [\sin^{- 1} \frac{α}{β} + π]$

84.

Assertion: In an SHM, kinetic and potential energies equal when the displacement is 1/ $\sqrt{2}$ times the amplitude.

Reason: In SHM, kinetic energy is zero when potential energy is maximum.

If both assertion and reason are true and reason is the correct explanation of assertion
If both assertion and reason are true but reason is not the correct explanation of assertion
If assertion is true but reason is false
If both assertion and reason are false

85.

Which of the following equation does not represent a SHM?

cosωt + sinωt
sinωt $-$ cosωt
1 $-$ sin2ωt
sinωt + cos (ωt + $α$ )

86.

Five sinusoidal waves have the same frequency 500 Hz but their amplitudes are in the ratio 2 : $\frac{1}{2} : \frac{1}{2} : 1 : 1$ and their phase angles 0, $\frac{π}{6}, \frac{π}{3}, \frac{π}{2} and π$ respectively. The phase angle of resultant wave obtained by the superposition of these five waves is

30^o
45^o
60^o
90^o

87.

In simple harmonic motion, loss of kinetic energy is proportional to

e^x
x³
logx
x²

88.

Assertion: The bob of a simple pendulum is a ball full of water, if a fine hole is made in the bottom of the ball, the time period first increases and then decreases.

Reason: As water flows out of the bob the weight of bob decreases.

If both assertion and reason are true and reason is the correct explanation of assertion.
If both assertion and reason are true but reason is not the correct explanation of assertion.
If assertion is true but reason is false.
If both assertion and reason are false.

89.

A particle moving about its equilibrium position with equation y = -ax - bt. interpret the condition

It will always perform SHM
It can never perform the SHM
It can perform SHM only when t ≥ $\frac{bx}{a}$
It can perform SHM only when t ≤ $\frac{bx}{a}$

90.

Assertion: A undamped spring-mass system is simplest free vibration system.

Reason: It has three degrees of freedom.

If both assertion and reason are true and reason is the correct explanation of assertion.
If both assertion and reason are true but reason is not the correct explanation of assertion.
If assertion is true but reason is false.
If both assertion and reason are false.

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NEET Physics : Oscillations

Multiple Choice Questions