The equation of a plane standing wave in a homogeneous elastic medium has the form `xi= a cos kx.
Channel: Doubtnut
Date: 2020-08-30

The equation of a plane standing wave in a homogeneous elastic medium has the form `xi= a cos kx. Cos omegat`. Plot `:` (a) `xi` and `delta xi // delta x ` as functions of `x` at the moments `t=0` and `t=T//2`, where `T` is the oscillation period, `(b)` the distribution of density `rho(x)` of the medium at the moments `t=0` and `t=T//2` in the case of longitudinal oscillation ,  `(c)`  the velocity distribution of particles of the medium at the moment `t=T//4` , indicate the directions of velocities at the antinodes, both for longitudinal and transverse oscillation.