Question

A vibrator generates the waves of the speed $330m{s}^{–1}$ and wavelength 0.8 m. Then the frequency and time period is

• A. 264 Hz, 0.0037 second
• B. 42.5 Hz, 0.0024 second
• C. 412.5 Hz, 0.0024 second
• D. 264 Hz, 0.0030 second

Answer 1

The correct option is C 412.5 Hz, 0.0024 second

The velocity of a wave is given as
$V=\gamma \lambda$
$\gamma =\frac{V}{\lambda }=\frac{330}{0.8}=\frac{3300}{8}$
$\gamma =\frac{3300}{8}=412.5Hz$
$T=\frac{1}{\gamma }=\frac{1}{412.5}=0.0024s$