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

  • question_answer
    Two bodies of masses \[{{m}_{1}}\] and \[{{m}_{2}}\] have equal kinetic energies. If \[{{p}_{1}}\] and \[{{p}_{2}}\] are their respective momentum, then ratio \[{{p}_{1}}:{{p}_{2}}\] is equal to              [MP PMT 1985; CPMT 1990]

    A)                 \[{{m}_{1}}:{{m}_{2}}\]

    B)                 \[{{m}_{2}}:{{m}_{1}}\]

    C)                 \[\sqrt{{{m}_{1}}}:\sqrt{{{m}_{2}}}\]      

    D)                 \[m_{1}^{2}:m_{2}^{2}\]

    Correct Answer: C

    Solution :

                        \[P=\sqrt{2mE}\] \\[P\propto \sqrt{m}\] \[(\text{if }E=\text{const}\text{.)}\]\ \[\frac{{{P}_{1}}}{{{P}_{2}}}=\sqrt{\frac{{{m}_{1}}}{{{m}_{2}}}}\]


You need to login to perform this action.
You will be redirected in 3 sec spinner