Physics Crash Course JEE Main>Chapter 11 - Oscillations>Level 3>Q 5

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If the length of a simple pendulum is comparable to the radius of the earth, then find the time period for oscillation.

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Important Questions on Oscillations

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Physics Crash Course JEE Main>Chapter 11 - Oscillations>Level 3>Q 6

The figure alongside shows a system of springs connected to a mass

M

. The amplitude of oscillation of this system would be

\frac{m g}{3 k}

. What will be the ratio of the amplitudes of oscillation of points

A

and

B

?

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Physics Crash Course JEE Main>Chapter 11 - Oscillations>Level 3>Q 7

A particle is performing simple harmonic motion with amplitude of

4 cm

and time period of

12 s

. The ratio between time taken by it in going from its mean position to

2 cm

and from

2 cm

to extreme position is

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Physics Crash Course JEE Main>Chapter 11 - Oscillations>Level 3>Q 8

Two simple harmonic motions are represented by the equations

y_{1} = 0.1 \sin (100 π t + \frac{π}{3})

and

y_{2} = 0.1 cosπ t

. The phase difference of velocity of the particle

1

with respect to the velocity of particle

2

at a time

t = 0

is

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Physics Crash Course JEE Main>Chapter 11 - Oscillations>Level 3>Q 9

A linear harmonic oscillator of force constant

2 \times 10^{6} N m^{- 1}

and amplitude

0.01 m

has a total mechanical energy of

160 J

. Its

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Physics Crash Course JEE Main>Chapter 11 - Oscillations>Level 3>Q 10

Two particles execute

SHM

of the same amplitude and frequency along the same straight line. They pass one another when going in opposite directions each time their displacement is half their amplitude. What is the phase difference between them?

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Physics Crash Course JEE Main>Chapter 11 - Oscillations>Level 3>Q 11

The time period of a simple pendulum is given by,

T = 2 π \sqrt{\frac{l}{g}}

. In an experiment, the length of the pendulum is increased by

1 %

while the acceleration due to gravity is also increased by

2 %

. The time period will,

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Physics Crash Course JEE Main>Chapter 11 - Oscillations>Level 3>Q 12

Above the resonant frequency,