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NEET Sample Paper NEET Sample Test Paper-71

  • question_answer
    A body of density \[{{d}_{1}}\] is counterpoised by Mg of weights of density \[{{d}_{2}}\] in air of density d. Then the true mass of the body is

    A) M                                

    B) \[M\left( 1-\frac{d}{{{d}_{2}}} \right)\]

    C) \[M\left( 1-\frac{d}{{{d}_{1}}} \right)\]               

    D) \[\frac{M(1-d/{{d}_{2}})}{(1-d/{{d}_{1}})}\]

    Correct Answer: D

    Solution :

    Let \[{{M}_{0}}=mass\text{ }of\text{ }body\text{ }in\text{ }vacuum\] Apparent weight of the body in air = Apparent weight of standard weights in air               \[\operatorname{Actual} weight - upthrust due to displaced\] \[= Actual weight - upthrust due to displaced\,\,air\] \[\Rightarrow \,\,\,\,\,\,{{M}_{0}}g-\left( \frac{{{M}_{0}}}{{{d}_{1}}} \right)dg=Mg-\left( \frac{M}{{{d}_{2}}} \right)dg\] \[\Rightarrow \,\,\,\,\,\,\,\,\,{{M}_{0}}=\frac{M\left[ 1-\frac{d}{{{d}_{2}}} \right]}{\left[ 1-\frac{d}{{{d}_{1}}} \right]}\]


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