An observer standing near the sea-coast counts 48 waves per min. If the wavelength of the wave is 10 m, the velocity of the waves will be

Question

An observer standing near the sea-coast counts 48 waves per min. If the wavelength of the wave is 10 m, the velocity of the waves will be (A) 8 m/s (B) 12 m/s (C) 16 m/s (D) 20 m/s

Tardigrade Admin · Accepted Answer

According to the question, Frequency, v=(48/60) Hz =(4/5)=0.8 Hz Wavelength, λ=10 m ∴ Wave velocity, v=v λ=(0.8)(10) =8 m / s

Q. An observer standing near the sea-coast counts $48$ waves per min. If the wavelength of the wave is $10 m,$ the velocity of the waves will be

8 m/s

12 m/s

16 m/s

20 m/s

According to the question, Frequency,
$v = \frac{48}{60} Hz = \frac{4}{5} = 0.8 Hz$
Wavelength, $λ = 10 m$
$∴$ Wave velocity, $v = v λ = (0.8) (10)$
$= 8 m / s$

Q. An observer standing near the sea-coast counts 48 waves per min. If the wavelength of the wave is 10m, the velocity of the waves will be