Alpha Question Bank for Medical: Physics>Chapter 19 - Simple Harmonic Motion>Exercise-1>Q 98

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A particle is executing simple harmonic motion with angular frequency $ω$ , then the angular frequency of its kinetic energy will be

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Important Questions on Simple Harmonic Motion

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Alpha Question Bank for Medical: Physics>Chapter 19 - Simple Harmonic Motion>Exercise-1>Q 99

In a simple harmonic oscillator, at the mean position

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Alpha Question Bank for Medical: Physics>Chapter 19 - Simple Harmonic Motion>Exercise-1>Q 100

A body executes simple harmonic motion. The potential energy (PE), kinetic energy (KE) and total energy (TE) are measured as a function of displacement ( $x$ ). Which of the following statements is true?

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Alpha Question Bank for Medical: Physics>Chapter 19 - Simple Harmonic Motion>Exercise-1>Q 101

The particle executing simple harmonic motion has a kinetic energy

K_{0} \cos^{2} ω t

. The maximum values of the potential energy and the total energy are respectively (Assuming potential energy to be zero at the mean position)

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Alpha Question Bank for Medical: Physics>Chapter 19 - Simple Harmonic Motion>Exercise-1>Q 102

The total energy of a particle, executing simple harmonic motion is

(Where

x

is the displacement from the mean position.)

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Alpha Question Bank for Medical: Physics>Chapter 19 - Simple Harmonic Motion>Exercise-1>Q 103

A particle of mass $m$ executes simple harmonic motion with amplitude $a$ and frequency $v$ . The average kinetic energy during its motion from the position of equilibrium to the end is

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Alpha Question Bank for Medical: Physics>Chapter 19 - Simple Harmonic Motion>Exercise-1>Q 104

A particle of mass

m

is executing oscillations about the origin on the x-axis. Its potential energy is

U (x) = k {[x]}^{3}

, where

k

is a positive constant. If the amplitude of oscillation is

a

, then its time period

T

is

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Alpha Question Bank for Medical: Physics>Chapter 19 - Simple Harmonic Motion>Exercise-1>Q 105

Two bodies

M

and

N

of equal masses are suspended from two separate massless springs of spring constants

k_{1}

and

k_{2}

, respectively. If the two bodies oscillate vertically such that their maximum velocities are equal, the ratio of the amplitude of vibration of

M

to that on

N

is

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Alpha Question Bank for Medical: Physics>Chapter 19 - Simple Harmonic Motion>Exercise-1>Q 106

A mass $m$ is suspended by means of two coiled springs which have the same length in unstretched condition as in figure. Their force constants are $k_{1}$ and $k_{2}$ , respectively. When set into vertical vibrations, the period will be,

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