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A body floats with one-third of its volu...

A body floats with one-third of its volume outside water and `3//4` of its volume outside another liquid. The density of another liquid is :

A

`(9)/(4)g//c c`

B

`(8)/(3)g//c c`

C

`4 g//c c`

D

`(3)/(8)g//c c`

Text Solution

Verified by Experts

The correct Answer is:
B
Let density of body be `rho_(s)` and its volume be V.
Buoyant force `=` Weight of the body
`rho_(w)V_(d)g=rho_(s)V_(s)g`
`1xx(2V)/(3)xxg=rho_(s)xxVxxg`
`rho_(s)=(2)/(3)g//cc`
In second case,
Buoyant foce `=` Weight of the body
`rho_(l)V_(l)g=rho_(s)V_(s)g`
`rho_(l)xx(V)/(4)xxg=(2)/(3)xxVxxg`
`rho_(l)=(8)/(3)g//"cc"`
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