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

  • question_answer
    If the kinetic energy of the particle is increased to 16 times its previous value, the percentage change in the de-Broglie wavelength of the particle is                                                                          [NEET 2014]

    A)  25       

    B)       75     

    C)  60       

    D)       50

    Correct Answer: A

    Solution :

    For de-Broglie wavelength
    \[{{\lambda }_{1}}\frac{h}{p}=\frac{h}{\sqrt{2mK}}\,\]                         ….(i)
    \[{{\lambda }_{2}}=\frac{h}{\sqrt{2m16K}}=\frac{h}{4\sqrt{2mK}}=\frac{{{\lambda }_{1}}}{4}\]         …(ii)
    \[{{\lambda }_{2}}=25%\] of \[{{\lambda }_{1}}\]
    There is 75% change in the wavelength.


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