If $W$ be the weight of a body of density $\rho $ in vacuum then its apparent weight in air of density $\sigma $ is
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(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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