VMMC VMMC Medical Solved Paper-2013

  • question_answer
    A body, thrown upwards with some velocity reaches the maximum height of 50 m. Another body with double the mass thrown up with double the initial velocity will reach a maximum height of

    A)  100 m           

    B)  200 m

    C)  300 m           

    D)  400 m

    Correct Answer: B

    Solution :

     At maximum height, final velocity is zero. \[{{v}^{2}}={{u}^{2}}-2gh\] We have, \[v=0\] \[\frac{{{h}_{1}}}{{{h}_{2}}}=\frac{u_{1}^{2}}{u_{2}^{2}}\] \[{{u}_{2}}=2u,{{v}_{1}}=u\] \[\frac{{{h}_{1}}}{{{h}_{2}}}=\frac{{{u}^{2}}}{{{(2u)}^{2}}}=\frac{1}{4}\] \[{{h}_{2}}=4{{h}_{1}}=4\times 50\] \[=200\,m\]


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