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One end of a taut string of length 3m along the x axis is fixed at x = 0. The speed of the waves in the string is 100 ms-1 . The other end of the string is vibrating in the y direction so that stationary waves are set up in the string. The possible waveform(s) of these stationary waves is (are)(A) y(t) = A sin πx/6 cos 50πt/3(B) y(t) = A sin πx/3 cos 100πt/3(C) y(t) = A sin 5πx/6 cos 250πt/3(D) y(t) = A sin 5πx/2 cos 250πt |
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Answer» (A) y(t) = A sin πx/6 cos 50πt/3 (C) y(t) = A sin 5πx/6 cos 250πt/3 (D) y(t) = A sin 5πx/2 cos 250πt Taking y(t) = A f(x) g(t) & Applying the conditions: 1; here x = 3m is antinode & x = 0 is node 2; possible frequencies are odd multiple of fundamental frequency. where, Vfundamental = v/4l = 25/3 Hz |
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