Ocean waves of time period $0.01 \, s$ have a speed of $15 \, m s^{-1}$. Calculate the wavelength of these waves. Find the distance between the adjacent crest and the trough.

(N/A) Given: Time period $T = 0.01 \, s$,Speed $V = 15 \, m s^{-1}$.
Using the relation $V = \nu \lambda$ and $\nu = 1/T$,we have $V = \lambda / T$.
Therefore,the wavelength $\lambda = V \times T = 15 \times 0.01 = 0.15 \, m$.
The distance between an adjacent crest and a trough is equal to half of the wavelength $(\lambda / 2)$.
Distance $= 0.15 / 2 = 0.075 \, m$.