MCQ
If $W$ be the weight of a body of density $\rho $ in vacuum then its apparent weight in air of density $\sigma $ is
  • A
    $\frac{{W\rho }}{\sigma }$
  • B
    $W\,\left( {\frac{\rho }{\sigma } - 1} \right)$
  • C
    $\frac{W}{\rho }\sigma $
  • $W\,\left( {1 - \frac{\sigma }{\rho }} \right)$

Answer

Correct option: D.
$W\,\left( {1 - \frac{\sigma }{\rho }} \right)$
d
(d) Apparent weight in air $= W -$ upthrust = $V\rho g - V\sigma g$

=$V\rho g\left( {1 - \frac{\sigma }{\rho }} \right)$= $W\left( {1 - \frac{\sigma }{\rho }} \right)$

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