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NEET Physics Photo Electric Effect, X- Rays & Matter Waves NEET PYQ-Photo Electric Effect,X-Rays

  • question_answer
    The de-Broglie wavelength of a neutron in thermal equilibrium with heavy water at a temperature T (Kelvin) and mass m, is                                                                                                                              [NEET-2017]

    A)  \[\frac{2h}{\sqrt{mkT}}\]          

    B)       \[\frac{h}{\sqrt{mkT}}\]

    C)  \[\frac{h}{\sqrt{3mkT}}\]          

    D)       \[\frac{2h}{\sqrt{3mkT}}\]

    Correct Answer: C

    Solution :

    [c] de-Broglie wavelength
    \[\lambda =\frac{h}{mv}\]
    \[=\frac{h}{\sqrt{2m(KE)}}\]
    \[=\frac{h}{\sqrt{2m(\frac{3}{2}kT)}}\]
    \[\lambda =\frac{h}{\sqrt{3mkT}}\]


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