Question

Calculate the speed of transverse wave travel down the rope when it is stretched by 80 N if frequency of wave is 10 Hz and length of rope is 5 m and its mass is 1 kg.

• A. 2 m/s
• B. 5 m/s
• C. 20 m/s
• D. 50 m/s
• E. 200 m/s

Answer 1

Answer: (C)

20 m/s

Given : $T=80$ N, $m=1kg$, $L=5$ m

Mass per unit length of the rope $\mu =\frac{m}{L}=\frac{1}{5}=0.2$ $kg/m$

$\therefore$ Transverse speed of wave $v=\sqrt{\frac{T}{\mu }}=\sqrt{\frac{80}{0.2}}=\sqrt{400}=20$ $m/s$