JEE Main & Advanced Sample Paper JEE Main - Mock Test - 39

  • question_answer
    If the de-Broglie wavelength of a proton is \[{{10}^{-13}}\] m, the electric potential through which it must have been accelerated is-

    A) \[4.07\times {{10}^{4}}V\]     

    B)        \[8.15\times {{10}^{4}}V\]

    C) \[8.15\times {{10}^{3}}V\]    

    D)        \[4.07\times {{10}^{5}}V\]

    Correct Answer: B

    Solution :

    [b] \[{{\lambda }_{p}}=\frac{0.286}{\sqrt{V}}\overset{\text{o}}{\mathop{\text{A}}}\,\] \[{{\lambda }_{p}}={{10}^{-13}}m={{10}^{-3}}\overset{\text{o}}{\mathop{\text{A}}}\,\] \[{{10}^{-3}}=\frac{0.286}{\sqrt{V}}\] \[\Rightarrow V={{(0.286)}^{2}}\times {{10}^{6}}\] \[=0.817\times {{10}^{6}}\] \[\Rightarrow 8.15\times {{10}^{4}}\] volt


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