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One end of a 60m long rope of mass 1.8 k...

One end of a 60m long rope of mass 1.8 kg is tied to a rigid horizontal support held high above the ground. The rope hangs vertically and kept taut by a weight 'W' suspended at its lower end. A person jerks the lower end of the rope sideways in a sinusoidal manner and a transverse wave of frequency 2 Hz and amplitude 10cm passes along the rope such that there are 2 cycles of the wave in the total length of the rope. Neglecting the weight of the rope as compared to the suspended weight W and with g = 10m/s2, answer the following questions. `(S = 75 xx 10^(-4) m^2)`

In the questions above, weight of the rope has been neglected as compared to the suspended weight. However, if we also account for the weight of the rope. the speed of the wave at the top of the rope will be

A

3.2 w

B

2.25 w

C

1.4 w

D

0.75 w

Text Solution

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The correct Answer is:
A
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