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Question

A block of ice floats on a liquid of density 1.2 in a beaker then level of liquid when ice completely melt      [IIT-JEE, 1994]


A
Remains same
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B
Rises
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C
Lowers
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D
(a), (b) or (c)
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Solution

The correct option is A Rises
The volume of liquid displaced by floating ice is given by
$$V_D = \frac{M} {\sigma_l}$$
Volume of water formed by melting ice, $$V_F = \frac{M} {\sigma_W}$$
If $$\sigma_l > \sigma_W, then, \frac{M} {\sigma_L} < \frac{M} {\sigma_W}$$ i.e $$V_D < V_F$$
i.e. volume of  liquid displaced by floating ice will be lesser than water formed and so the level if liquid will rise.
1719410_1812653_ans_ffa9c55f8cef4dcf955285382d1cff76.png

Physics

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