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A cubical block of side 0.5 M floats on ...

A cubical block of side 0.5 M floats on water with `30%` of its volume under water. What is the maximum weight that can be put on the block without fully submerging it under water?
[Take density of water `=10^(3)kg//m^(3)`]

A

87.5 kg

B

30.1 kg

C

46.3 kg

D

65.4 kg

Text Solution

Verified by Experts

The correct Answer is:
A
`a^(3)rho_(b)g=0.3xxa^(3)xxrho_(omega)g" "...(i)`
`a^(3)rho_(b)g+mg=a^(3)xxrho_(omega)g" "...(ii)`
`Rightarrowm=rho_(omega)xx0.7xxa^(3)=10^(3)xx00875=87.5kg`
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