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

  • question_answer
    An \[\alpha \]-particle moves in a circular path of radius 0.83 cm in the presence of a magnetic field of \[0.25\text{ }Wb/{{m}^{2}}\]. The de-Broglie wavelength associated with the particle will be                              [AIPMT (S) 2012]

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

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

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

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

    Correct Answer: B

    Solution :

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


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