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A wave is represented by the equation ...

A wave is represented by the equation
y = 7 sin `(7 pi t - 0.04 pi x + (pi)/(3) ) `
where x is in metre and t is in second. The speed of the wave is :

A

175 m/s

B

49 m/s

C

49/`pi`m/s

D

0.28 `pi` m/s

Text Solution

Verified by Experts

The correct Answer is:
A
Comparing with the eqn .
y = a sin `(omega t - kx + phi)`, we get ` omega = 7pi` , k = 0.04
c = `(omega)/(k) = (7 pi)/(0.04) = 175 ms^(-1)` .
Hence the correct choice is (a).
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