RAJASTHAN ­ PET Rajasthan PET Solved Paper-2004

  • question_answer
    The de-Broglie wavelength related to a-particle accelerated by V volt will be

    A)  \[\frac{0.287}{\sqrt{V}}\]\[\overset{o}{\mathop{\text{A}}}\,\]

    B)  \[\frac{12.27}{\sqrt{V}}\]\[\overset{o}{\mathop{\text{A}}}\,\]

    C)  \[\frac{4.34}{\sqrt{V}}\]\[\overset{o}{\mathop{\text{A}}}\,\]

    D)  \[\frac{0.202}{\sqrt{V}}\]\[\overset{o}{\mathop{\text{A}}}\,\]

    Correct Answer: C

    Solution :

     \[\lambda =\frac{h}{\sqrt{2mqV}}\] \[=\frac{6.6\times {{10}^{-34}}}{\sqrt{2\times (2\times 9.1\times {{10}^{-31}})\times (4\times 1.6\times {{10}^{-19}})}}\] \[[\because {{q}_{\alpha }}=4{{q}_{e}},{{m}_{\alpha }}=2{{m}_{e}}]\] \[=\frac{4.34}{\sqrt{V}}\overset{o}{\mathop{\text{A}}}\,\]


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