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Q.

Electromagnetic field in a region varies with time. It is given by B=B0k^   for  0t<πmqB0;E=0  for  0t<2πmqB0

B=B0j^forπmqB0t<2πmqB0and;E=E0k^  for2πmqB0t

B=0for2πmqB0<t
A charged particle having mass m & positive charge q is given velocity V0i^ at origin at t=0. If (x0,y0)  are the coordinates of point on  xy plane where the particle crosses  xy plane, then find x0y0 [Given:  2E0=B0V0]

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Detailed Solution

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R=mv0qB0

For parabolic path;

2R=12(qE0m)t2 t=2mRqE0x0=V0t =2V0mRqE0=2V0mqE0mV0qB0 y0=2R=2mv0qB0   x0=2mv0qB0B0v0E0

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