Question

A $5.5 \, m$ long string has a mass of $0.035 \, kg$ . If the tension in the string is $77 \, N$ , the speed of a wave on the string is

• A. $110 \, ms^{- 1}$
• B. $165 \, ms^{- 1}$
• C. $77 \, ms^{- 1}$
• D. $102 \, ms^{- 1}$

Answer 1

Answer: (A)

$\mu $ $=\frac{0.035}{5.5}kgm^{- 1}, \, T=77N$
Velocity of transverse wave along string
$v=\sqrt{\frac{T}{\mu }}=\sqrt{\frac{77 \times 5.5}{0.035}}=110ms^{- 1}$