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Q.

A container is partially filled by water. A cork ball is tied to the bottom of the vessel by a string and the ball is completely submerged in water as shown in figure. The string is now cut. Then level of water in the vessel

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a

falls

b

rises

c

remains unchanged

d

may rise or fall depending upon the size of the ball.

answer is A.

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Detailed Solution

After the string is cut, the ball will rise to the surface of water and float in water. If V be the volume of the ball and v' be the volume displaced by the ball when floating, then by Law of floatation, V1ρg=Vσg⇒V1=σρVSince σ (density of ball) <ρ (density of water), V1
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