A wave travels at 500 m s⁻¹ with wavelength 2 m. Calculate its period.

Solution & explanation

1. Given: v = 500 m s⁻¹; λ = 2 m.

2. Find frequency first.

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

3. Substitute and divide.

   $$f=\frac{500}{2}=250$$

4. Period is reciprocal of frequency.

   $$T=\frac{1}{f}$$

5. Substitute 250 Hz.

   $$T=\frac{1}{250}=0.004$$

6. State the result with units: T = 0.004 s.

T = 0.004 s