Question

220.The equation y=5sin(3x/50) cos(450t) represents the stationary wave set up in a vibrating sonometer wire, where x,y are in cm and in second.The velocity of one of the two progressive waves in that statinary wave is

Answer 1

Dear student,

Comparing the given equation by, $y=a\sin \left(kx\right)\cos \left(wt\right)$
We get, $k=\frac{3}{50};\omega =450$
Velocity is given by, $v=\frac{\omega }{k}=\frac{450}{{\displaystyle \raisebox{1ex}{$3$}\!\left/ \!\raisebox{-1ex}{$50$}\right.}}=7.5\times {10}^3\mathrm{cm}/\mathrm{s}$
Regards.