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In the figure shown, pulleys, string and springs are ideal. The natural frequency of oscillation is given as $\frac{1}{π} \sqrt{\frac{k}{n m}} .$ The value of $n$ is

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Important Questions on Oscillations

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Gamma Question Bank for Engineering Physics>Chapter 13 - Oscillations>EXERCISE 13.1>Q 2

The time taken by a particle performing SHM on a straight line to pass from point

A

B

, where its velocities are same, is

2

seconds. After another

2

seconds it returns to

B

. The time period of oscillation is (in seconds):

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Gamma Question Bank for Engineering Physics>Chapter 13 - Oscillations>EXERCISE 13.2>Q 9

Starting from the origin, a body oscillates simple harmonically with a period of

2 s

. After what time will its kinetic energy be

75 %

of the total energy?

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Gamma Question Bank for Engineering Physics>Chapter 13 - Oscillations>EXERCISE 13.2>Q 13

Starting from the origin, a body oscillates simple harmonically with a period of

2 s

. After what time will its kinetic energy be

75 %

of the total energy?

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Gamma Question Bank for Engineering Physics>Chapter 13 - Oscillations>EXERCISE 12.2>Q 13

A perfectly reflecting mirror of mass

M

mounted on a spring constitutes a spring-mass system of angular frequency

Ω

such that

\frac{4 π M Ω}{h} = 10^{24} m^{- 2}

with

h

as Planck's constant.

N

photons of wavelength

λ = 8 π \times 10^{- 6} m

strike the mirror simultaneously at normal incidence such that the mirror gets displaced by

1 μ m .

If the value of

N

x \times 10^{12},

then the value of

x

is________.
[Consider the spring as massless]

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Gamma Question Bank for Engineering Physics>Chapter 13 - Oscillations>Assignment>Q 7

A block of mass

5 kg

executes SHM under the restoring force of a spring on a smooth horizontal surface. The amplitude and time period of the motion are

1 m

and

π s

respectively. Maximum force exerted by spring on the block is

x N .

Find the value of

x .

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Gamma Question Bank for Engineering Physics>Chapter 13 - Oscillations>Assignment>Q 11

Consider the shown arrangement. Rod is massless which can rotate freely about hinge $O .$ All the springs are ideal and massless. If frequency of small oscillations of block $m$ (Neglect gravity) is $f = \frac{1}{2 π} \sqrt{\frac{N k}{9 m}}$ , then find value of $N .$

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Gamma Question Bank for Engineering Physics>Chapter 13 - Oscillations>EXERCISE 13.2>Q 12

A particle starts oscillating in simple harmonic motion from its equilibrium position with time period

T

. The ratio of KE and PE of the particle at time

t = \frac{T}{12}

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Gamma Question Bank for Engineering Physics>Chapter 13 - Oscillations>EXERCISE 13.4>Q 23

At some instant the bob of the simple pendulum is at the mean position. The time after which its kinetic and potential energies will be equal is

In the figure shown, pulleys, string and springs are ideal. The natural frequency of oscillation is given as 1πknm. The value of n is

Important Questions on Oscillations

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In the figure shown, pulleys, string and springs are ideal. The natural frequency of oscillation is given as $\frac{1}{π} \sqrt{\frac{k}{n m}} .$ The value of $n$ is