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An electron is travelling along the x-di...

An electron is travelling along the x-direction. It encounters a magnetic field in the y-direction. Its subsequent motion will be

A

Straight line along the x-diretion

B

A circle in the xz plane

C

A circle in the yz plane

D

A circle in the xy plane

Text Solution

Verified by Experts

The correct Answer is:
B
We known that the force on a charged particle e due to a magnetic field is given by
`vecF=e(vecvxxvecB)`
Hence `vecv = v_x = hati " and " vecB = B_y hat j`
`therefore vec F = ev_xB_y(hati xx hatj)=ev_(x) B_(y) hatk`
Therefore the subsequent motion of the charged particles will be a circle in the xz plane.
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