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A wooden piece can float both in mercury...

A wooden piece can float both in mercury (of density 13.6 gm/cc) and in water (of density 1gm/cc). The ratio of mass of mercury displaced to the mass of water displaced is

A

1

B

13.6

C

`1/13.6`

D

`12.6/13.6`

Text Solution

Verified by Experts

The correct Answer is:
A

If same body is made to float in different liquids of density `sigma_A` and `sigma_B`.
`(V_("in"))_A sigma_A=(V_("in"))_B sigma_B implies (m_A)/(m_B) =1`.
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