Question

A string of length $7m$ has a mass of $0.035kg$ . If tension in the string is $60.5N$ , then speed of a wave on the string is

• A. $77m/s$
• B. $102m/s$
• C. $110m/s$
• D. $165m/s$

Answer 1

Answer: (C)

speed of a wave on the string is,
$v=\sqrt{\frac{T}{\mu }}$
Linear mass density is, $\mu =\frac{0.035}{7}$
$\mu =5\times 10^{-3}kg/m$
$\therefore$ $v=\sqrt{\frac{60.5}{5\times 10^{-3}}}$
$v=\sqrt{12.1\times 10^3}$
$v=110m/s$