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NEET AIPMT SOLVED PAPER SCREENING 2012

  • question_answer
    An \[\text{-}\]particle moves in a circular path of radius 0.83 cm in the presence of a magnetic field of \[0.25\,\,Wb/{{m}^{2}}\]. The de-Broglie wavelength associated with the particle will be

    A) \[1\,\,\overset{\text{o}}{\mathop{\text{A}}}\,\]

    B)                        \[0.1\,\,\overset{\text{o}}{\mathop{\text{A}}}\,\]         

    C)        \[10\,\,\overset{\text{o}}{\mathop{\text{A}}}\,\]          

    D)        \[0.01\,\,\overset{\text{o}}{\mathop{\text{A}}}\,\]

    Correct Answer: D

    Solution :

    We knows\[R=\frac{mv}{qB}\]and \[\lambda =\frac{h}{mv}\]                  \[\lambda =\frac{h}{qBR}\] \[=\frac{6.6\times {{10}^{-34}}}{1.6\times {{10}^{-19}}\times 0.83\times {{10}^{-2}}\times 0.25}\] \[=0.01{\AA}\]


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