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JEE Main & Advanced Physics EM Waves Question Bank Mock Test - Electromagnetic Waves and Dual Nature

  • question_answer
    Two electrons are moving with same speed v. One electron enters a region of uniform electric field while the other enters a region of uniform magnetic field, then after some time de Broglie wavelengths of two are \[{{\lambda }_{1}}\] and\[{{\lambda }_{2}}\], respectively. Now,

    A) \[{{\lambda }_{1}}={{\lambda }_{2}}\]

    B) \[{{\lambda }_{1}}>{{\lambda }_{2}}\]

    C) \[{{\lambda }_{1}}<{{\lambda }_{2}}\]

    D) \[{{\lambda }_{1}}\]can be greater than or less than \[{{\lambda }_{2}}\]

    Correct Answer: D

    Solution :

    [d] Speed of electron which enters into electric field may increase or decrease while for second electron, it remains constant. So, from \[\lambda =\frac{h}{mv'}\] \[{{\lambda }_{1}}>{{\lambda }_{2}}\] Or \[{{\lambda }_{1}}<{{\lambda }_{2}}\]


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