JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2011

  • question_answer
        Two bodies of masses\[{{M}_{1}}\]and\[{{M}_{2}}\]are dropped from heights\[{{H}_{1}}\]and\[{{H}_{2}}\]respectively. They reach the ground after time\[{{T}_{1}}\]and\[{{T}_{2}}\] respectively. Which of the following relation is correct?

    A)  \[\frac{{{T}_{1}}}{{{T}_{2}}}={{\left[ \frac{{{H}_{1}}}{{{H}_{2}}} \right]}^{1/2}}\]

    B)  \[\frac{{{T}_{1}}}{{{T}_{2}}}=\frac{{{H}_{1}}}{{{H}_{2}}}\]

    C)  \[\frac{{{T}_{1}}}{{{T}_{2}}}={{\left[ \frac{{{M}_{1}}}{{{M}_{2}}} \right]}^{1/2}}\]             

    D)  \[\frac{{{T}_{1}}}{{{T}_{2}}}=\frac{{{M}_{1}}}{{{M}_{2}}}\]

    Correct Answer: A

    Solution :

                    Distance is independent of masses of the bodies \[{{H}_{1}}=\frac{1}{2}gT_{1}^{2}\]and \[{{H}_{2}}=\frac{1}{2}gT_{2}^{2}\] Hence, \[\frac{{{T}_{1}}}{{{T}_{2}}}={{\left[ \frac{{{H}_{1}}}{{{H}_{2}}} \right]}^{1/2}}\]


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