JEE Main & Advanced Physics Work, Energy, Power & Collision / कार्य, ऊर्जा और शक्ति Question Bank Conservation of Energy and Momentum

  • question_answer
    A ball of mass 2kg and another of mass 4kg are dropped together from a 60 feet tall building. After a fall of 30 feet each towards earth, their respective kinetic energies will be in the ratio of                                      [CBSE PMT 2004]

    A)                 \[\sqrt{2}:1\]    

    B)                 \[1:4\]

    C)                 \[1:2\]  

    D)                 \[1:\sqrt{2}\]

    Correct Answer: C

    Solution :

                        Kinetic energy\[=\frac{1}{2}m{{v}^{2}}\] As both balls are falling through same height therefore they possess same velocity. but \[KE\propto m\]       (If v = constant) \ \[\frac{{{\left( KE \right)}_{1}}}{{{\left( KE \right)}_{2}}}=\frac{{{m}_{1}}}{{{m}_{2}}}=\frac{2}{4}=\frac{1}{2}\]


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