Q153 / 160 · WBJEE 2012 · Physics

A body when fully immersed in a liquid of specific gravity 1.2 weighs 44 gwt. The same body when fully immersed in water weighs 50 gwt. The mass of the body is

A
36 \mathrm{g}$
B
48 \mathrm{g}$
C
64 \mathrm{g}$
Correct answer
D
$80 \mathrm{g}$

Solution

Balancing equation $$ W=m g-V \rho g $$ Hence, $$ \begin{array}{l} 44=m-1.2 \mathrm{V} \\ 50=m-V \end{array} $$ On solving Eqs. (i) and (ii) we get $$ m=80 \mathrm{g} $$

Hence, the correct answer is option: 'D'.

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