Question

A block of ice of density 0.9 gm $c{c}^{-}1$ and of volume 100 cc flows in water. Their volumes inside the water:

• A. 10 cc
• B. 90 cc
• C. 50 cc
• D. 9 cc

Answer 1

The correct option is B 90 cc

We know that,

Fraction of volume of ice above the water surface is given by

$1-\frac{v_s}{v_{ic}}$

Where, $v_s$ is the volume of object in water and $v_{ic}$ is the volume of the ice block

Now,

$\frac{v_s}{v_{ic}}=\frac{{\rho }_b}{{\rho }_w}$

$\frac{v_s}{100}=\frac{0.9}{1}$

$v_s=90cc$

Where,

${\rho }_{ic}$ = density of ice block

${\rho }_l$ = density of water

Hence, the volume of inside the water is $90cc$