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The equation of standing wave is y=0.1co...

The equation of standing wave is `y=0.1cos(pix)sin(200pit)`. What is the frequency of the wave?

A

100 Hz

B

50 Hz

C

25 Hz

D

200 Hz

Text Solution

Verified by Experts

The correct Answer is:
A

`y = 0.1 cos (pi x) sin ( 200 pi t) `. Comparing with
` y = 2A cos ((2pix)/lambda) sin( ( 2pi t)/T) `
we get ` (2pit)/T = 200 pi t :. T = 1/100 :. N = 100 Hz`
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