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Question

A longitudinal progressive wave is given by the equation $$y = 5 \times 10^{-2} sin \pi(400 t + x)$$. The amplitude and wave length of the wave are:  [$$y, x$$ are in $$m$$].


A
A=5×102m, λ=2m
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B
A=5×02m, λ=3m
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C
A=5×102m, λ=4m
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D
A=5×102m, λ=5m
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Solution

The correct option is D $$\mathrm{A}=5\times 10^{-2}\mathrm{m},\ \lambda=2m$$
$$y=A sin (\omega t + kx)$$

$$y=5\times 10^{-2} sin (\pi t \times 400+ \pi x)$$

Comparing, we get $$A=5\times 10^{-2}$$ and $$k=\pi$$

$$\lambda=\dfrac{2\pi}{k}$$

$$\lambda=2\ m$$

Physics

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