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
B
Rises
C
Lowers
D
(a), (b) or (c)

Solution

## The correct option is A RisesThe 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.Physics

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