Q 1 :    

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