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JEE Main 2007

Exam: JEE Main
Year: 2007
Subject: Physics
Chapter: Oscillations

JEE Main 2007 · Physics · Oscillations

A particle of mass m executes simple harmonic motion with amplitude...

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

Options

A $\pi^2 \mathrm{ma}^2 v^2$
B $\frac{1}{4} \pi^2 m a^2 v^2$
C $4 \pi^2 \mathrm{ma}^2 \mathrm{v}^2$
D $2 \pi^2 m a^2 v^2$

Correct answer

A. $\pi^2 \mathrm{ma}^2 v^2$

Step-by-step solution

\frac{1}{4} m a^2 \omega^2=\pi^2 f^2 m a^2

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