Q.

A uniform magnetic field of magnitude 1 T exists in region y≥ 0  along  k^ direction as shown. A particle of charge 1 C is projected from point −3,  −1 towards origin with speed 1 m/s. If mass of particle is 1 kg, then co-ordinates of centre of circle in which particle moves are

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a

1,   3,

b

1, -  3,

c

12,  −32

d

32,  −12

answer is C.

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Detailed Solution

The centre will be at 'C' as shown:Coordinate of the centre arer cos 600,  −r  sin  600where  r=  radius  of  circle =mvBq =  1 ×  11 ×  1 =  1i.e.,       12,  −32
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