A thick rope of length `2L` and linear mass density `9mu` is joined at `B` to a thin rope of length `L` and linear mass density `4mu`. The systems horizontally stretched by the two vertical wall `A` and `C`. Assuming `B` to be a node, find the minimum number of loops in the thick rope.

Options

A. `1`
B. `2`
C. `3`
D. `4`

Explanation

`2L=mxx(lambda_(1)//2)=(m)/(2f)sqrt((T)/(9mu))`
`L=nxx(lambda_(2)sqrt(2))=(n)/(2f)sqrt((T)/(4mu))`
`rArr m=3n=3xx1=3`