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

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IMPORTANT

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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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Important Questions on Oscillations

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IMPORTANT

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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IMPORTANT

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,

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IMPORTANT

Physics Crash Course MHT-CET>Chapter 7 - Oscillations>Exercise 1>Q 119

A loaded vertical spring executes simple harmonic oscillations with period of

4 s

. The difference between kinetic energy and potential energy of this system oscillates with a period of,

HARD

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IMPORTANT

Physics Crash Course MHT-CET>Chapter 7 - Oscillations>Exercise 1>Q 120

A particle is executing

SHM

with amplitude

A

. At displacement,

x = \frac{- A}{4}

, force acting on the particle is

F

, potential energy of the particle is

P E

, velocity of particle is

v

,

x = \frac{A}{2}

.