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Q.A man is sitting in a boat which is floating in a pond. If the man drinks some water from the pond, the level of water in the pond

(1) increases
(2) decreases
(3) remains unchanged
(4) increases or decreases depending upon the weight of man
Jharkhand JacJAC Intermediate Board (1st Year) 2023MCQ· 1mImportance★★★★★
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Whether the water sits in the pond or inside the man (who is still part of the same floating boat+pond system), the total volume displaced by the floating system exactly accounts for it, so the pond level does not change.

By the law of floatation, a floating body displaces a volume of liquid whose weight equals the total weight of the body. Initially, the boat+man system displaces a volume V1 = (weight of boat + man)/(rho_water x g).

When the man drinks a small mass Δm of water from the pond, that water's weight is added to the boat+man system, while an equal mass Δm is simultaneously removed from the pond. The boat, now heavier by Δm, sinks slightly further and displaces additional volume ΔV = Δm / rho_water to support this extra weight (Archimedes' principle).

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