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A solid body is found floating in water ...

A solid body is found floating in water with `((alpha)/(beta))^(th)` of its volume submerged. The same solid is found floating in a liquid with `((alpha)/(beta))^(th)`of its volume above the liquid surface. The specific gravity of the liquid is

A

`(beta-alpha)/(alpha)`

B

`(alpha-beta)/(beta)`

C

`(alpha)/(beta-alpha)`

D

`(beta)/(alpha-beta)`

Text Solution

Verified by Experts

The correct Answer is:
C
`(alpha)/(beta)=(d_(b))/(d_(w))" ………(1) "1-(alpha)/(beta)=(d_(b))/(d_(l))" ………..(2)"`
from 1 and 2 `(d_(l))/(d_(b))=(alpha)/(beta-alpha)`
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