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Two solids A and B floats in water. It i...

Two solids `A` and `B` floats in water. It is observed that `A` floats with half of its volume immersed and `B` Floats with `2//3` of its volume immersed. The ratio of densities of `A` and `B` is

A

`4:3`

B

`2:3`

C

`3:4`

D

`1:3`

Text Solution

Verified by Experts

The correct Answer is:
C
Total volume of `A=V_A`
Total volume of `B=V_B`
Density of `A=rho_A `
Density of `B=rho_B`
Density of liquid `=rho_L`
Acording to quesitor. `V_(A//2)/A=(rho_A)/(rho_L)and (2V_(B//3))/(B)=(rho_B)/(rho_L)`
or , `rho_A=V_A/(2V_A)xxrho_L and rho_B=(2V_B)/(2V_B)xxrhoL`
Now , `(rho_A)/(rho_B)=(rho_A)/2xx3/(2rho_L)=3/4=3:4`
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