question_answer

The disturbance y (x, t) of a wave propagating in the positive x-direction is given by  at time t = 0 and by at t = 2 s, where x and y are in meters. The shape of the wave disturbance does not change during the propagation. The velocity of wave in m/s is                                                            [JEE ONLINE 26-05-2012]

A)  2.0                  

B)       4.0

C)  0.5                  

D)       1.0

Correct Answer: C

Solution :

[c] The equation of wave at any time is obtained by putting

(i)

We know at t = 2 sec,       (ii)

On comparing (i) and (ii) we get

As t = 2 sec