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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 23

1 kg

block attached to a spring vibrates with a frequency of

1 Hz

on a frictionless horizontal table. Two springs identical to the original spring are attached in parallel to a

8 kg

block placed on the same table. So, the frequency of vibration of the

8 kg

block is

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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 26

A spring mass system (mass

m,

spring constant

k

and natural length

l

) rests in equilibrium on a horizontal disc. The free end of the spring is fixed at the centre of the disc. If the disc together with spring mass system rotates about it's axis with an angular velocity

ω, (k > > m ω^{2})

the relative change in the length of the spring is best given by the option:

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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

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: