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A cubical block of steel of each side eq...

A cubical block of steel of each side equal to 1 is floating on mercury in vessel. The densities of steel and mercury are `rho_(s) " and " rho_(m)`. The height of the block above the mercury level is given by

A

`l(1+(rho_(s))/(rho_(m)))`

B

`l(1-(rho_(s))/(rho_(m)))`

C

`l(1+(rho_(m))/(rho_(s)))`

D

`l(1-(rho_(m))/(rho_(s)))`

Text Solution

Verified by Experts

The correct Answer is:
B
`f_(i)=(rho_("solid"))/(rho_("liquid"))=rho_(s)/rho_(m)`
`therefore" "h_(i)=rho_(s)/rho_(m).l`
`therefore" Height above the marcury level"=rho_(s)/rho_(m)l=(1-rho_(s)/rho_(m))l`
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