Gamma Question Bank for Medical Physics>Chapter 14 - Oscillations>Assignment>Q 3

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The plot of velocity $(v)$ versus displacement $(x)$ of a particle executing simple harmonic motion is shown in figure. The time period of oscillation of particle is

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Important Questions on Oscillations

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Gamma Question Bank for Medical Physics>Chapter 14 - Oscillations>Assignment>Q 4

A

1.00 \times 10^{- 20} kg

particle is vibrating with simple harmonic motion with a period of

1.00 \times 10^{- 5} \sec

and a maximum speed of

1.00 \times 10^{3} m s^{- 1}

. The maximum displacement of the particle is

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Gamma Question Bank for Medical Physics>Chapter 14 - Oscillations>Assignment>Q 5

The equation of an

SHM

with amplitude

A

and angular frequency

ω

in which all the distances are measured from one extreme position and time is taken to be zero at the other extreme position is

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Gamma Question Bank for Medical Physics>Chapter 14 - Oscillations>Assignment>Q 6

A body oscillates with

SHM

according to the equation

x = (5.0 m) \cos [(2 π rad s^{- 1}) t + π / 4]

At

t = 1.5 s,

its acceleration is

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Gamma Question Bank for Medical Physics>Chapter 14 - Oscillations>Assignment>Q 7

The period of a particle executing

SHM

is

8 s

. At

t = 0

, it is at the mean position. The ratio of the distances covered by the particle in the

1^{st}

second to the

2^{nd}

second is

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Gamma Question Bank for Medical Physics>Chapter 14 - Oscillations>Assignment>Q 8

Figure shows the position-time graph of an object in

SHM .

The correct equation representing this motion is
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Gamma Question Bank for Medical Physics>Chapter 14 - Oscillations>Assignment>Q 9

A particle executes

SHM

and its position varies with time as

x = A \sin ω t .

Its average speed during its motion from mean position to mid-point of mean and extreme position is

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Gamma Question Bank for Medical Physics>Chapter 14 - Oscillations>Assignment>Q 10

A particle is executing

SHM

and its velocity

v

is related to its position

(x)

as

v^{2} + a x^{2} = b,

where

a

and

b

are positive constants. The frequency of oscillation of particle is

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Gamma Question Bank for Medical Physics>Chapter 14 - Oscillations>Assignment>Q 11

A particle executes

SHM

according to equation

x = 10 (cm) \cos [2 π t + \frac{π}{2}],

where

t

is in second. The magnitude of the velocity of the particle at

t = \frac{1}{6} s

will be