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If a body floats with (m//n)^(th) of its...

If a body floats with `(m//n)^(th)` of its volume above the surface of water, then the relative density of the material of the body is

A

`(n-m)//n`

B

`m//n`

C

`n//m`

D

`(n-m)//m`

Text Solution

Verified by Experts

The correct Answer is:
A
`"Specific gravity"=("weight of the body")/("force of buoancy")=(W)/(F_(B))=(d_(B))/(d_(W))`
`V_("in")=V-V_("out")=V-(m)/(n)V=V((n-m)/(n))`
`rArr (V_("in"))/(V)=(d_(B))/(d_(W))=S.G`
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