Question

The length, mass and tension of a string are $1000cm$, $0.01kg$ and $10N$ respectively, the speed of transverse waves in the string will be

• A. ${10}^{2}m{s}^{-1}$
• B. ${10}^{4}m{s}^{-1}$
• C. ${10}^{6}m{s}^{-1}$
• D. ${10}^{8}m{s}^{-1}$

Answer 1

Answer: (A)

${10}^{2}m{s}^{-1}$

The velocity of the transverse wave propagating in the string is:

$v=\sqrt{\frac{T}{m}}=\sqrt{\frac{10}{\left(\frac{0.01}{10}\right)}}=100$ $m/s$.