12th Class Physics Magnetism Question Bank Case Based (MCQs) - Moving Charges and Magnetism

  • question_answer
    Direction: Q.11 to Q.15
    An electron with speed \[{{v}_{0}}<<c\]moves in a circle of radius \[{{r}_{0}}\] in a uniform magnetic field,         
    This electron is able to traverse a circular path as magnetic field is perpendicular to the velocity of the electron. A force acts on the particle perpendicular to both \[\overrightarrow{{{v}_{0}}}\] and \[\overrightarrow{B}\]. This force continuously deflects the particle sideways without changing its speed and the particle will move along a circle perpendicular to the field. The time required for one revolution of the electron is \[{{T}_{0}}\] .
    Read the given passage carefully and give the answer of the following questions.
    If the speed of the electron is now doubled to \[2{{v}_{0}}\]. The radius of the circle will change to:

    A) \[4{{r}_{0}}\]                          

    B) \[2{{r}_{0}}\]      

    C) \[{{r}_{0}}\]                            

    D) \[{{r}_{0}}/2\]

    Correct Answer: B

    Solution :

    (b) \[2{{r}_{0}}\]             As, \[{{r}_{0}}=\frac{mv}{qB}\Rightarrow r'=\frac{m(2{{v}_{0}})}{qB}=2{{r}_{0}}\]


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