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![[Post New]](/templates/default/images/icon_minipost_new.gif) 1 Feb 2008 21:15:13 IST
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The question is correct. Its beautifully framed.
The height of the barometer gives you the atmospheric pressure at the location where the experiment is carried out.
The initial equilibrium of 2/3rd floating gives you the density of the balloon at that time.
Let it be submerged to a depth h below the water. You can find the pressure there in terms of h. Next using Boyle's law find the relation between the density of the balloon at depth h. Use the condition for equilibrium. You should get h
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this reply: 10 points
(with 2 
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