Physics Crash Course NEET>Chapter 10 - Oscillations>Level 1>Q 26

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IMPORTANT

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The position co-ordinates of a particle moving in a $3 D$ coordinate system is given by

$x = a \cos ω t$

$y = a \sin ω t$

and $z = a ω t$

The speed of the particle is:

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Important Questions on Oscillations

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IMPORTANT

Physics Crash Course NEET>Chapter 10 - Oscillations>Level 1>Q 27

A mass

M

is suspended from a spring of negligible mass. The spring is pulled a little and then released so that the mass executes

S . H . M .

of period

T

. If the mass is increased by

m

, the time period becomes

\frac{5 T}{3} .

What is the ratio

(\frac{M}{m})

?

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Physics Crash Course NEET>Chapter 10 - Oscillations>Level 1>Q 28

A particle performs

S . H . M .

with amplitude

A

. Its speed is tripled at the instant when it is at a distance of

\frac{2 A}{3}

from the mean position. The new amplitude of the motion is

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Physics Crash Course NEET>Chapter 10 - Oscillations>Level 1>Q 29

A particle executes simple harmonic motion between

x = - A

and

x = + A

. If it takes a time

T_{1}

to

g_{0}

from

x = 0

to

x = A / 2

and

T_{2}

to go from

x = A / 2

to

x = A

. Then

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Physics Crash Course NEET>Chapter 10 - Oscillations>Level 1>Q 30

Which of the following equation represents a simple harmonic motion? (

ω

is angular frequency, A is amplitude of oscillation and

i = \sqrt{- 1}

)

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Physics Crash Course NEET>Chapter 10 - Oscillations>Level 1>Q 31

If the differential equation for a simple harmonic motion is

\frac{d^{2} y}{d t^{2}} + 2 y = 0

, the time period of the motion is,

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Physics Crash Course NEET>Chapter 10 - Oscillations>Level 1>Q 32

In the case of a simple pendulum executing

SHM,

at

t = 0

, the bob is not at the mean position. The graph drawn between the tension

(T)

in the string and time

(t)

is

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Physics Crash Course NEET>Chapter 10 - Oscillations>Level 1>Q 33

The time period of a bob performing simple harmonic motion in water is

2 s

. If density of bob is

\frac{4}{3} \times 10^{3} kg m^{- 3}

, then time period of bob performing simple harmonic motion in air will be

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Physics Crash Course NEET>Chapter 10 - Oscillations>Level 1>Q 34

If

x, v

and

a

denote the displacement, the velocity and the acceleration of a particle executing

S H M

of time period

T

. Then, which of the following does not change with time?