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A particle of massM and positive charge ...

A particle of mass`M` and positive charge `Q`, moving with a constant velocity ` vec(u_(1)) = 4 hat(i) ms^(-1)`, enters a region of uniform static magnetic field , normal to the ` x-y ` plane. The region of the magnetic field extends from ` x= 0` to ` x = L` for all values of `y`. After passing through this region, the particle emerges on the other side after `10 milliseconds` with a velocity `vec(u_(2)) = 2 (sqrt(3 hat(i) + hat(j))) ms^(-1)` . The correct statement(s) is (are)

A

The direction of the magnetic field is `-z` direction .

B

The direction of the magnetic field is `+z` direction .

C

The magnitude of the magnetic field `(50 pM)/(3Q)` units .

D

The magnitude of the magnetic field is `(100pM)/(3Q)` units .

Text Solution

Verified by Experts

The correct Answer is:
`A,C`
`t = (q)/(w) = (Mq)/(qB)`
Clearly `q = 30^(@) = (p)/(6)`
`B =(Mp)/(6q' 10' 10^(-3)) = (100 pM)/(6q) = (50pM)/(3Q)`
`oversetrarrB` must be in -z direction
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