One end of a 60 m long rope of mass 1.8 kg is tied to a rigid horizontal support held high above tlie ground. The rope hangs vertically and kept taut by a weight W suspended at its lower end. Aperson jerks the lower end of the rope sideways in a sinusoidal manner and a transverse wave of freqeuncy 2 Hz and amplitude 10 cm 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 = 10 m//s^2`, answer the following questions.
Average power will be nearly:

Options

A. 3.2 W
B. 2.25 W
C. 1.4 W
D. 0.75 W

Answer

C

Explanation

Average power `=1/2 mu omega^(2) A^(2)v =1/2 xx 0.03 xx (12.56)^(2) xx (0.1)^(2) xx 60 = 1.41 W`