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NEET Sample Paper NEET Sample Test Paper-5

  • question_answer
    A uniform chain of length l and mass m overhangs a smooth table with its one third part lying on the table. The kinetic energy of the chain as it completely slips off the table is

    A)  \[\frac{2}{9}mgl\]                 

    B)  \[\frac{4}{9}mgl\]

    C)  \[\frac{3}{4}mgl\]                 

    D)  \[\frac{5}{18}mgl\]

    Correct Answer: B

    Solution :

    Suppose ground level is of the zero potential level, then, total mechanical energy at two instant can be given as. \[TM{{E}_{initially}}=TM{{E}_{finally}}\]             \[\Rightarrow \]\[mg\frac{1}{2}+\frac{1}{2}m{{v}^{2}}=\left( \frac{m}{3} \right)g(1-1)+\frac{2m}{3}gl\]                                 \[=\frac{5mgl}{18}+\frac{2}{3}mgl\] (always consider the height of centre of mass) \[\Rightarrow \]\[\frac{1}{2}m{{v}^{2}}=KE=\frac{4}{9}mgl\]


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