2. Sample Papers
  3. JEE Main & Advanced

JEE Main & Advanced Sample Paper JEE Main Sample Paper-47

  • question_answer
    In a region magnetic field along x-axis changes with time according to the given graph. If time period, pitch and radius of helix path are \[{{T}_{0}},\,\,{{P}_{0}}\] and R respectively, then which of the following is incorrect, if the particle is projected at an angle \[{{\theta }_{0}}\] with the positive x-axis in \[x-y\]plane?

    A)  At \[t=\frac{{{T}_{0}}}{2},\] coordinates of charge are \[\left( \frac{{{P}_{0}}}{2},\,0,\,-2{{R}_{0}} \right)\]

    B)  At\[t=\frac{3{{T}_{0}}}{2},\] coordinates of charge are \[\left( \frac{3{{P}_{0}}}{2},\,0,\,2{{R}_{0}} \right)\]

    C)  Two extremes from x-axis are at a distance \[2{{R}_{0}}\] from each other

    D)  Two extremes from x-axis are at a distance \[4{{R}_{0}}\] from each other

    Correct Answer: C

    Solution :

     At        \[t=\frac{{{T}_{0}}}{2},\,\,x=\frac{{{P}_{0}}}{2}\] \[\theta =\pi ;\,\,y=0\] and \[z=-2{{R}_{0}}\] At         \[t=\frac{3{{T}_{0}}}{2},\,\,x=\frac{3{{P}_{0}}}{2}\] \[\theta =\pi ,\] \[y=0\] and \[z=2{{R}_{0}}\] Maximum distance \[4{{R}_{0}}\]. Here, three options are correct exceptane.


You need to login to perform this action.
You will be redirected in 3 sec spinner