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

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Figure shows the position-time graph of an object in $SHM .$ The correct equation representing this motion is

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Important Questions on Oscillations

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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

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Gamma Question Bank for Medical Physics>Chapter 14 - Oscillations>Assignment>Q 12

Two particles executing

SHM

of same amplitude of

20 cm

with same period along the same line about same equilibrium position. The maximum distance between the two is

20 cm .

Their phase difference in radian is equal to

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Gamma Question Bank for Medical Physics>Chapter 14 - Oscillations>Assignment>Q 13

A particle executes

SHM

along a straight line. The amplitude of oscillation is

2 cm .

When displacement of particle from the mean position is

1 cm,

the magnitude of its acceleration is equal to magnitude of its velocity. The time period (in seconds) of oscillation is

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

When a mass

m

is attached to a spring, it oscillates with period

4 s .

When an additional mass of

2 kg

is attached to a spring, time period increases by

1 s .

The value of

m

is

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Gamma Question Bank for Medical Physics>Chapter 14 - Oscillations>Assignment>Q 15

A body of mass

0.01 kg

executes simple harmonic motion about

x = 0

under the influence of a force as shown in figure. The time period of

SHM

is

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Gamma Question Bank for Medical Physics>Chapter 14 - Oscillations>Assignment>Q 16

A particle of mass

m

in a unidirectional potential field have potential energy

U (x) = α + 2 β x^{2}

, where

α

and

β

are positive constants. Find its time period of oscillation.