The equation of a wave is $y = s i n π (0.5 x - 200 t)$ , where x and y are expressed in cm and t in sec. The wave velocity is

[MP PMT 1986]

100 cm/sec

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200 cm/sec

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300 cm/sec

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400 cm/sec

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Solution

The correct option is D
400 cm/sec

Comparing given equation with standard equation of progressive wave. The velocity of wave

$v = \frac{w(Co-efficient of t)}{k(Co-efficient of x)} = \frac{200 π}{0.5 π} = 400 c m / s$

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The equation of a wave is y=sin π(0.5x−200t) , where x and y are expressed in cm and t in sec. The wave velocity is [MP PMT 1986]

The correct option is D 400 cm/sec Comparing given equation with standard equation of progressive wave. The velocity of wave v=w(Co-efficient of t)k(Co-efficient of x)=200π0.5π=400 cm/s

The equation of a wave is $y = s i n π (0.5 x - 200 t)$ , where x and y are expressed in cm and t in sec. The wave velocity is

[MP PMT 1986]

The correct option is D
400 cm/sec

Comparing given equation with standard equation of progressive wave. The velocity of wave

$v = \frac{w(Co-efficient of t)}{k(Co-efficient of x)} = \frac{200 π}{0.5 π} = 400 c m / s$