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