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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 100m/s. 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[ (pi)x/6] cos[ 50(pi)t/3)]
B) y(t)=A sin[5(pi)x/3] cos[100(pi)t/3)]
C) y(t)=A sin[5(pi)x/6] cos[250(pi)t/3)]
D) y(t)=A sin[5(pi)x/3] cos[250(pi)t)]

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