A simple harmonic oscillator has an amplitude a and time period T. The time required by it to a travel from x = a to x = a/2 is

T / 6

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T / 4

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T / 3

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T / 2

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Solution

The correct option is A T / 6
$\begin{matrix} θ_{i} = \frac{π}{2} θ_{f} = \frac{5 π}{6} \frac{2 π}{T} t = \frac{5 π}{6} - \frac{π}{2} = \frac{5 π - 3 π}{6} \frac{2 π}{T} t = \frac{2 π}{6} t = \frac{T}{6} \end{matrix}$

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A

T

x = A

x = \frac{A}{2}

x = A t o x = \frac{A}{2}

A simple harmonic oscillator has an amplitude a and time period T. The time required by it to travel from x = a to x = $\frac{a}{2}$ is

[CBSE PMT 1992; SCRA 1996; BHU 1997]

x = - \frac{A}{\sqrt{2}}

x = \frac{A}{\sqrt{2}}

x = A

x = A / 2

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