The displacement of a travelling wave y=Csin2πλ(at-x) where t is time, x is distance and λ is the wavelength, all in S.I. units. Then frequency of the wave is [2024]
2πλa
2πaλ
λa
aλ
(4)
Given, y=Csin2πλ(at-x) ...(i)
Equation of a travelling wave is given by
y=asin(ωt-kx) ...(ii)
From equation (i) and (ii), ω=2πaλ
As, ω=2πυ
2πυ=2πaλ so, υ=aλ