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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 = 0.3 xx a^(3) xx rho_(omega) g`……(i)
`a^(3) rho_(b) g + mg = a^(3) xx rho_(omega) g` ….(ii)
`rArr m = rho_(omega) xx 0.7 xx a^(3) = 10^(3) xx 0.0875 = 87.5 kg`
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