The

shows two snapshots, each of a wave travelling along a particular string. The phase for the waves are given by (a) 4x-8t (b) 8x-16t. Which phase corresponds to which waves in

Explanation

The standard equation of a plane progressive wave is `y=A sin (kx-omegat)`, the phase of the wave is `(kx-omegat)`, we get `omega =16 and k=8`
`lambda_(2)=(2pi)/(k)=(2pi)/(8)=(pi)/(4)`
clearly `lambda_(1)=2lambda_(2)`
Therefore, snapshots `1` and `2` correspond to a and `b` respectly.