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WBJEE · Physics · Mechanical Properties of Fluids

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

  1. A 36 \mathrm{g}$
  2. B 48 \mathrm{g}$
  3. C 64 \mathrm{g}$
  4. D \(80 \mathrm{g}\)
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Answer & Solution

Correct Answer

(D) \(80 \mathrm{g}\)

Step-by-step Solution

Detailed explanation

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 \[ m=80 \mathrm{g} \]
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