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Q.

A particle moves on the x-axis according to the equation $x = x_{0} \sin 2 ω t .$ The motion is simple harmonic

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a

With amplitude $x_{0} / 2$

b

With amplitude $2 x_{0}$

c

With time period $π / w$

d

With time period $\frac{2 π}{ω}$

answer is C.

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Detailed Solution

From the given equation,

$\frac{2 π}{T} = 2 ω \Rightarrow T = \frac{π}{ω}$

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