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

  • question_answer
    Two masses of 1 gm  and 4 gm are moving with equal kinetic energies. The ratio of the magnitudes of their linear momenta is [AIIMS 1987; NCERT 1983; MP PMT 1993; IIT 1980;     RPET 1996; CBSE PMT 1997; Orissa JEE 2003; KCET 1999; DCE 2004]

    A)                 4 : 1       

    B)                 \[\sqrt{2}:1\]

    C)                 1 : 2       

    D)                 1 : 16

    Correct Answer: C

    Solution :

                        \[P=\sqrt{2mE}.\] If E are same then \[P\propto \sqrt{m}\]                 Þ \[\frac{{{P}_{1}}}{{{P}_{2}}}=\sqrt{\frac{{{m}_{1}}}{{{m}_{2}}}}=\sqrt{\frac{1}{4}}=\frac{1}{2}\]


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