A 60 cm metal rod `M_(1)` is joined to another 100 cm metal rod `M_(2)` to form an L shaped single piece. This piece is hung on a peg at the joint. The two rods are observed to be equally inclined to the vertical. If the two rods are equally thick, the ratio of density of `M_(1)` to that of `M_(2)` is

Options

A. `5/3`
B. `25/9`
C. `9/25`
D. `3/5`

Answer

B

Explanation

`M_(1)gxx30 sin 45^(@)=M_(2)gxx50 sin 45^(@)`
`M_(1)=rho_(1)Axx60`
`M_(2)=rho_(2)Axx100`
`rArr rho_(1)xx1800=rho_(2)xx5000`
`(rho_(1))/(rho_(2))=25/9`