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Q.

In the plane mirror, the coordinates of image of a charged particle (initially at origin as shown in figure) after two and a half time periods are (initial velocity of charge particle is V0, in the x-y plane and the plane mirror is perpendicular to the x-axis. A uniform magnetic field Bi^ exists in the space. P0 is pitch of helix, R0 is radius of helix.)

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a

17P0,0,-2R0

b

3P0,0,-2R0

c

17.5P0,0,-2R0

d

3P0,0,2R0

answer is C.

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Detailed Solution

After two and a half time periods, its x-coordinate will be 2.5P0 (so x-coordinate of image will be 10P0+7.5P0=17.5 P0).It will be at distance 2R0 (equal to diameter) on the negative z-axis and y-coordinate will be zero.
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