Question

A wave travelling on a string at a speed of 10 m/s causes each particle of the string to oscillate with a time period of 20 ms. what is the wavelength of the wave?

Answer 1

Speed, $v=10m/s$

Time period, $T=20ns=20\times {10}^{-9}s$

$speed=frequency\times wavelength$

$v=\nu \times \lambda$

$v=\frac{\lambda }{T}$

$10=\frac{\lambda }{20\times {10}^{-9}}$

$\lambda =200nm$

So, the wavelength of wave is 200 nm.