An observer on sea-coast counts 45 waves in one minute. If the wavelength of the waves is 7 m , then the velocity of the waves will be

Step-by-step solution

Wave velocity is determined using the fundamental relationship v = f , where f is frequency and is wavelength. Frequency is computed as waves per second. Given 45 waves in 60 seconds: f = 45 60 = 0.75 Hz Substituting f = 0.75 Hz and = 7 m: v = 0.75 7 = 5.25 m/s The calculated velocity of 5.25 m/s corresponds to option B .