A uniform rope of length `12m` and mass `6kg` hangs vertically from a rigid support. A block of mass `2kg` is attached to the free end of the rope. A transverse pulse of wavelength `0.06m` is produced at the lower end of the rope. What is the wavelength of the pulse when it reaches the top of the rope?

Options

A. `0.06m`
B. `0.12m`
C. `0.24m`
D. `0.03m`

Answer

B

Explanation

Tension at the bottom `=2kg.wt=T_(b)`
Tension at the top `=(2+6)=8kgwt=T_(t)`
`(V_(t))/(V_(b))=(nlambda_(t))/(nlambda_(b))=sqrt((T_(t))/(T_(b)))`