An ice cube containing a piece of lead floats in water. What would be the effect on the level of water if the ice cube melts?
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a
It would fall
b
it would rise
c
It would remain the same
d
It would rise very high.
answer is A.
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Detailed Solution
Let M and m represent the masses of ice and lead respectively.Now, (M+m)g = Vρwg∴ V = M+mρwAfter melting of ice, volume of water and lead, V' = Mρw+mρ1Since ρ1 > ρw, ∴ v'