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JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2011

  • question_answer
        A swimmer of mass m rests on top of a Styrofoam slab, which has thickness h and density\[{{\rho }_{s}}\]. The area of the slab if it floats in water with its upper surface just awash is [Take density of water to be\[{{\rho }_{w}}\]].

    A)  \[\frac{m}{h({{\rho }_{s}}+{{\rho }_{w}})}\]                       

    B)  \[\frac{m}{h{{\rho }_{w}}}\]

    C)  \[\frac{m}{h({{\rho }_{s}}-{{\rho }_{w}})}\]                        

    D)  \[\frac{m}{h({{\rho }_{w}}-{{\rho }_{s}})}\]

    Correct Answer: D

    Solution :

                    From equilibrium\[mg=Ah{{\rho }_{s}}\times g=Ah{{\rho }_{w}}\times g\]where A is required cross-section area \[\Rightarrow \]\[A=\frac{m}{h({{\rho }_{w}}-{{\rho }_{s}})}\]


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