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JEE Main & Advanced Physics Photo Electric Effect, X- Rays & Matter Waves Question Bank Matter Waves

  • question_answer
    The de-Broglie wavelength of a particle accelerated with 150 volt potential is \[{{10}^{-10}}\]m. If it is accelerated by 600 volts p.d., its wavelength will be                                                                       [RPET 1988]

    A)            0.25 Å                                      

    B)            0.5 Å

    C)            1.5 Å                                        

    D)            2 Å

    Correct Answer: B

    Solution :

               By using \[\lambda \,\propto \frac{1}{\sqrt{V}}\]   Þ  \[\frac{{{\lambda }_{1}}}{{{\lambda }_{2}}}=\sqrt{\frac{{{V}_{2}}}{{{V}_{1}}}}\]  Þ\[\frac{{{10}^{-10}}}{{{\lambda }_{2}}}=\sqrt{\frac{600}{150}}=2\]  Þ l2 = 0.5 Å.


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