1.

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 :

Answer»

175 m/s
49 m/s
49/`PI`m/s
0.28 `pi` m/s

Solution :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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