A mass m is suspended from the ceiling by a string with variable linear mass density `(mu)`.A wave pulse is produced at the top of an oscillator which travels from top to bottom with constant wave speed. (x axis is positive downwards). Then.

Options

A. `(dmu)/(dx)gt0`
B. `(dmu)/(dx)lt0`
C. `(dmu)/(dx)`=constant
D. `(dmu)/(dx)=0`

Explanation

When we move along +x direction (top to bottom) x increases but T decreases
`v_("value")=sqrt(T/mu)`
when T decreases `mu` must decrease
`rArr x to` increases" " `mu to`decreases" " `rArr (dmu)/(dx) lt 0`