A uniform rope of mass `0.1 kg` and length `2.45 m` hangs from a ceiling.
(a) Find the speed of transverse wave in the rope at a point `0.5 m` distant from the lower end.
(b) Calculate the time taken by a transverse wave to travel the full length of the rope.

Options

A. `0.7m//s,1s`
B. `0.7m//s,2s`
C. `0.7m//s,4s`
D. `0.7m//s,6s`

Answer

A

Explanation

`(i)V=sqrt((T)/(mu))=sqrt(((mux)g)/(mu))=sqrt(gx)`
`(ii) t=2sqrt((L)/(g))=2sqrt((2.45)/(9.8))=1sec`