Gamma Question Bank for Engineering Physics>Chapter 13 - Oscillations>EXERCISE 13.1>Q 5

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Two simple harmonic motions are represented by
$y_{1} = 5 [\sin 2 π t + \sqrt{3} \cos 2 π t], y_{2} = 5 \sin (2 π t + \frac{π}{4})$
The ratio of their amplitudes is

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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 6

When the maximum

K E

of a simple pendulum is

K

, then what is its displacement (in terms of amplitude a), when its

K E

is

\frac{K}{2} ?

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

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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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?