Question

A uniform rope of mass 0.1 kg and length 2.45 m hangs from a ceiling. The speed of transverse waves in the rope at appoint 0.5 m from the lower end is approximately

• A. $2.21m{s}^{-1}$
• B. $4.21m{s}^{-1}$
• C. $7.21m{s}^{-1}$
• D. $3.31m{s}^{-1}$

Answer 1

The correct option is A

$2.21m{s}^{-1}$

$T=\frac{M}{L}xg$ and $v=\sqrt{\frac{\frac{M}{L}xg}{\frac{M}{L}}}=\sqrt{gx}=\sqrt{9.8\times 0.5}=2.21m/s$