Question

A $5.5m$ length string has a mass of $0.035kg$. If the tension in the string is $77N.$ The speed of a transverse wave on the string is

• A. $110m{s}^{-1}$
• B. $165m{s}^{-1}$
• C. $77m{s}^{-1}$
• D. $102m{s}^{-1}$

Answer 1

The correct option is A $110m{s}^{-1}$

Speed of wave $=\sqrt{\frac{T}{\frac{m}{l}}}$$=\sqrt{\frac{77}{0.035/5.5}}$$=\sqrt{\frac{5.5\times 77}{0.035}}$$=110m/s$