If the maximum speed of a particle on a travelling sinusoidal wave is $v_{0}$ , then find the speed of a particle when the displacement is half of the maximum value.

\frac{v_{0}}{2}

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\frac{\sqrt{3} v_{0}}{4}

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\frac{\sqrt{3} v_{0}}{2}

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v_{0}

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Solution

The correct option is C $\frac{\sqrt{3} v_{0}}{2}$
In a travelling sinusoidal wave, particles do SHM.
Hence we can find the speed by applyinbg energy conservation.

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If the maximum speed of a particle on a travelling sinusoidal wave is v0 , then find the speed of a particle when the displacement is half of the maximum value.

The correct option is C √3v02In a travelling sinusoidal wave, particles do SHM. Hence we can find the speed by applyinbg energy conservation.

If the maximum speed of a particle on a travelling sinusoidal wave is $v_{0}$ , then find the speed of a particle when the displacement is half of the maximum value.

The correct option is C $\frac{\sqrt{3} v_{0}}{2}$
In a travelling sinusoidal wave, particles do SHM.
Hence we can find the speed by applyinbg energy conservation.