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Q.

The maximum acceleration of a simple harmonic oscillator is $a_{0}$ and the maximum velocity is $v_{0}$ . What is the displacement amplitude.

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a

$\frac{v_{0}}{a_{0}}$

b

$v_{0} a_{0}$

c

$\frac{{v_{0}}^{2}}{a_{0}}$

d

$\sqrt{v_{0} a_{0}}$

answer is D.

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Detailed Solution

$v_{0} = ω A . . . . . . (i) a_{0} = ω^{2} A . . . . . . (i i) A = \frac{v_{0}^{2}}{a_{0}}$

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