Question

Select One Option Correct from the following : One end of a taut string of length 3 m along the x axis is fixed at x = 0. The speed of the waves in the string is 100 m/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)$y(x,t) = A \sin \frac{\pi x}{6} \cos \frac{50 \pi t}{3}$
(B) $y(x,t) = A \sin \frac{\pi x}{3} \cos \frac{100 \pi t}{3}$
(C) $y(x,t) = A \sin \frac{5\pi x}{6} \cos \frac{250 \pi t}{3}$
(D) $y(x,t) = A \sin \frac{5\pi x}{2} \cos 250\pi t$

Answer 1

d option is correct I think

Answer 2

Select One Option Correct from the following : One end of a taut string of length 3 m along the x axis is fixed at x = 0. The speed of the waves in the string is 100 m/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)$y(x,t) = A \sin \frac{\pi x}{6} \cos \frac{50 \pi t}{3}$

(B) $y(x,t) = A \sin \frac{\pi x}{3} \cos \frac{100 \pi t}{3}$

(C) $y(x,t) = A \sin \frac{5\pi x}{6} \cos \frac{250 \pi t}{3}$

✔️ (D) $y(x,t) = A \sin \frac{5\pi x}{2} \cos 250\pi t$