JEE Main & Advanced Physics Photo Electric Effect, X- Rays & Matter Waves Question Bank Self Evaluation Test - Dual Nature of Radiation and Matter

  • question_answer
    A particle of mass M at rest decays into two particles of masses \[{{m}_{1}}\] and \[{{m}_{2}}\] having non-zero velocities. The ratio of the de Broglie wavelengths of the particles, \[{{\lambda }_{1}}/{{\lambda }_{2}},\] is

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

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

    C) 1.0

    D) \[\sqrt{{{m}_{2}}}/\sqrt{{{m}_{1}}}\]

    Correct Answer: C

    Solution :

    [c] Applying conservation of linear momentum, Initial momentum = Final momentum \[0={{m}_{1}}{{v}_{1}}-{{m}_{2}}{{v}_{2}}\Rightarrow {{m}_{1}}{{v}_{1}}={{m}_{2}}{{v}_{2}}\] Now, \[\frac{{{\lambda }_{1}}}{{{\lambda }_{2}}}=\frac{h/{{m}_{1}}{{v}_{1}}}{h/{{m}_{2}}{{v}_{2}}}=1\]


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