Gamma Question Bank for Engineering Physics>Chapter 13 - Oscillations>EXERCISE 13.2>Q 7

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The kinetic energy of a simple harmonic motion when the particle is half way to its end point is (where $E_{0}$ is the total energy)

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Important Questions on Oscillations

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Gamma Question Bank for Engineering Physics>Chapter 13 - Oscillations>EXERCISE 13.2>Q 8

For a particle executing simple harmonic motion, the kinetic energy

K

is given by,

K = K_{0} \cos^{2} ω t .

The maximum value of potential energy is

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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 10

If a simple pendulum of length

L

has maximum angular displacement

α

, then the maximum kinetic energy of bob of mass

M

is

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Gamma Question Bank for Engineering Physics>Chapter 13 - Oscillations>EXERCISE 13.2>Q 11

If

U

is the potential energy of an oscillating particle and

F

is the force acting on it at a given instant, which of the following is true? (Take

x

be the displacement of particle from mean position)

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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}

is

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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

is

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>EXERCISE 13.3>Q 14

Time period of the block in the shown system is

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