Physics Crash Course MHT-CET>Chapter 7 - Oscillations>Exercise 1>Q 110

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Maximum kinetic energy of a particle suspended from a spring in oscillating state is $5 J$ and amplitude is $10 cm .$ The force constant of the spring will be,

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Important Questions on Oscillations

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Physics Crash Course MHT-CET>Chapter 7 - Oscillations>Exercise 1>Q 111

The graph in the figure shows how the displacement of a particle describing S.H.M. varies with time. Which one of the following statements is not true?

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Physics Crash Course MHT-CET>Chapter 7 - Oscillations>Exercise 1>Q 112

If

x, v, a

,

K E

and

P E

represent displacement, velocity, acceleration, kinetic energy and potential energy at any instant, respectively, for a particle executing

S . H . M .

, then which of the following statements is incorrect?

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Physics Crash Course MHT-CET>Chapter 7 - Oscillations>Exercise 1>Q 113

The potential energy of a particle executing

SHM

is

2.5 J

when its displacement is half of amplitude. The total energy of the particle is,

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Physics Crash Course MHT-CET>Chapter 7 - Oscillations>Exercise 1>Q 114

A particle starts simple harmonic motion from the mean position. Its amplitude is

A

, total energy

E

and kinetic energy is

\frac{2 E}{3}

. Its displacement at that instant is,

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Physics Crash Course MHT-CET>Chapter 7 - Oscillations>Exercise 1>Q 115

A body is executing simple harmonic motion. At a displacement

x

, its potential energy is

E_{1}

and at a displacement

y

its potential energy is

E_{2}

. The potential energy

E

at displacement

(x + y)

is:

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Physics Crash Course MHT-CET>Chapter 7 - Oscillations>Exercise 1>Q 116

The kinetic energy and the potential energy of a particle executing

SHM

are equal. The ratio of its displacement and amplitude will be,

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Physics Crash Course MHT-CET>Chapter 7 - Oscillations>Exercise 1>Q 117

The displacements of two identical particles executing

SHM

are represented by equations,

x_{1} = 4 \sin (10 t + \frac{π}{6})

and

x_{2} = 5 \cos ϖ t

. For what value of

ω

is energy of both the particles same?

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Physics Crash Course MHT-CET>Chapter 7 - Oscillations>Exercise 1>Q 118

A simple harmonic oscillator has amplitude

A

. If the kinetic energy of oscillator is one-fourth of the total energy, then the displacement is,