A) \[M\]
B) \[\frac{M(1-d/{{d}_{2}})}{(1-d/{{d}_{1}})}\]
C) \[M\left( 1-\frac{d}{{{d}_{2}}} \right)\]
D) \[M\left( 1-\frac{d}{{{d}_{1}}} \right)\]
Correct Answer: B
Solution :
Let \[{{M}_{0}}=\]mass of body in vacuum Apparent weight of body in air = Apparent weight of standard weights in air \[\Rightarrow \]Actual weight - up thrust due to displaced air = Actual weight - up thrust due to displaced air \[\Rightarrow \] \[{{M}_{0}}g-\left( \frac{{{M}_{0}}}{{{d}_{1}}} \right)dg=Mg-\left( \frac{M}{{{d}_{2}}} \right)dg\] \[\Rightarrow \] \[{{M}_{0}}=\frac{M\left( 1-\frac{d}{{{d}_{2}}} \right)}{\left( 1-\frac{d}{{{d}_{1}}} \right)}\]
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