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A particle is executing simple harmonic motion with a time period $T$ . At time $t = 0$ , it is at its position of equilibrium. The kinetic energy - time graph of the particle will look like:

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Important Questions on Oscillations

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Physics Crash Course NEET>Chapter 10 - Oscillations>Level 2>Q 24

In an experiment to determine the period of a simple pendulum of length

1 m

, it is attached to different spherical bobs of radii

r_{1}

and

r_{2}

. The two spherical bobs have uniform mass distribution. If the relative difference in the periods, is found to be

5 \times 10^{- 4} s

, the difference in radii,

|r_{1} - r_{2}|

is best-given by

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Physics Crash Course NEET>Chapter 10 - Oscillations>Level 2>Q 25

A body of mass

M

and charge

q

is connected to a spring of spring constant

k

. It is oscillating along

x

-direction about its equilibrium position in the horizontal plane, taken to be at

x = 0

, with an amplitude

A

. An electric field

E

is applied along the

x

-direction. Which of the following statements is correct?

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Physics Crash Course NEET>Chapter 10 - Oscillations>Level 2>Q 27

A ring is hung on a nail. It can oscillate, without slipping or sliding (i) in its plane with a time period

T_{1}

and (ii) back and forth in a direction perpendicular to its plane, with a period

T_{2}

. The ratio

\frac{T_{1}}{T_{2}}

will be :

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Physics Crash Course NEET>Chapter 10 - Oscillations>Level 2>Q 28

The displacement time graph of a particle executing SHM is given in figure: (sketch is schematic and not to scale)

Question Image

Which of the following statements is/are true for this motion?

(A) The force is zero at $t = \frac{3 T}{4}$
(B) The magnitude of acceleration is maximum at $t = T$
(C) The speed is maximum at $t = \frac{T}{4}$
(D) The $P . E .$ is equal to $K . E .$ of the oscillation at $t = \frac{T}{2}$

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Physics Crash Course NEET>Chapter 10 - Oscillations>Level 2>Q 29

The weight suspended from a spring oscillates up and down. The acceleration of weight will be zero at

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Physics Crash Course NEET>Chapter 10 - Oscillations>Level 2>Q 30

When a body is in $S H M$ , then match the following.

$List - I$		$List - II$
$(A)$	Velocity is maximum	$(I)$	Acceleration is maximum
$(B)$	$KE$ is ${(\frac{3}{4})}^{th}$ of total energy	$(II)$	At mean position
$(C)$	$PE$ is ${(\frac{3}{4})}^{th}$ of total energy	$(III)$	At half of the amplitude
$(D)$	Acceleration is maximum	$(IV)$	At $\frac{\sqrt{3}}{2}$ times the amplitude

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Physics Crash Course NEET>Chapter 10 - Oscillations>Level 2>Q 31

One end of a spring of force constant $k$ is fixed to a vertical wall and the other to a block of mass $m$ resting on a smooth horizontal surface. There is another wall at a distance $x_{0}$ , from the block. The spring is then compressed by $2 x_{0}$ and released. The time taken by the block to strike the other wall is

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Physics Crash Course NEET>Chapter 10 - Oscillations>Level 2>Q 32

A simple harmonic oscillator of frequency

1 Hz

has a phase of

1

radian. By how much should the origin be shifted in time so as to make the phase of the oscillator vanish. (time in seconds).

A particle is executing simple harmonic motion with a time period T. At time t=0, it is at its position of equilibrium. The kinetic energy - time graph of the particle will look like:

Important Questions on Oscillations

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A particle is executing simple harmonic motion with a time period $T$ . At time $t = 0$ , it is at its position of equilibrium. The kinetic energy - time graph of the particle will look like: