Question

A wave has a wave speed of 243 m/s and a wavelength of 3.27 cm. Calculate (a) the frequency and (b) the period of the wave.

Answer 1

$$v = 243 \frac{m}{s} \quad \lambda = 3.27 \text{cm} = 0.0327 \text{m}$$

We know, that period can be found as $T = \frac{\lambda}{v} = \frac{0.0327\text{m}}{243\text{m/s}} = 134.5 \cdot 10^{-6}\text{s} = 134.5\text{microsec}$

The frequency is inverse to period: $f = \frac{1}{T} = \frac{1}{134.5} \cdot 10^{6} = 7435\text{Hz} = 7.435\text{kHz}$