The displacement time equation for a plane progressive wave is y-0-04 sin8 -3330t-x cm- Find phase velocity of the wave-

The correct option is A 330 cm/sDisplacement equation #160; y=0.04sin8π3(330t x)cm From the above equation, 330t x=constant Differentiate with ...

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Standard XII

Physics

Frequency

The displacem...

Question

The displacement time equation for a plane progressive wave is $y = 0.04 sin \frac{8 π}{3} (330 t - x)$ cm. Find phase velocity of the wave.

35.2 π

cm/s

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330

cm/s

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880

cm/s

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\frac{8 π}{3}

cm/s

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Solution

The correct option is A $330$ cm/s
Displacement equation
$y = 0.04 s i n \frac{8 π}{3} (330 t - x) c m$
From the above equation,
$330 t - x = c o n s t a n t$
Differentiate with respect to time, we get
$330 - \frac{d x}{d t} = 0$
Phase velocity, $v_{p} = \frac{d x}{d t} = 330 c m / s$
The correct option is B.

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The displacement time equation for a plane progressive wave is y=0.04sin8π3(330t−x) cm. Find phase velocity of the wave.

The correct option is A 330 cm/sDisplacement equation y=0.04sin8π3(330t−x)cmFrom the above equation,330t−x=constantDifferentiate with respect to time, we get330−dxdt=0Phase velocity, vp=dxdt=330cm/sThe correct option is B.

The displacement time equation for a plane progressive wave is $y = 0.04 sin \frac{8 π}{3} (330 t - x)$ cm. Find phase velocity of the wave.