9th Class Science Gravitation and Floatation Question Bank Gravitation and Pressure

  • question_answer
    If a body floats with \[{{\left( \frac{p}{q} \right)}^{th}}\] of its volume above the surface of water, find the relative density of the body.

    A) \[\frac{q+p}{q}\]          

    B)        \[1-\frac{p}{q}\]  

    C) \[\frac{1-p}{q}\]

    D)        \[\frac{p}{q}\]

    Correct Answer: B

    Solution :

     Weight of the body \[=\] upthrust \[{{\rho }_{b}}=\left( 1-\frac{p}{q} \right){{\rho }_{w}}\], \[\therefore \frac{{{\rho }_{b}}}{{{\rho }_{w}}}=1-\frac{p}{q}\] \[i.e.,\,\,R.D.\]of body\[=\left( 1-\frac{p}{q} \right)\]or\[\left( \frac{q-p}{p} \right)\]


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