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An electron is projected with uniform ve...

An electron is projected with uniform velocity along the axis of a current carrying long solenoid. Which of the following is true ?

A

The electron will be accelerated along the axis.

B

The electron path will be circular about the axis.

C

The electron will experience a force at `45^(@)` to the axis and hence execute a helical path.

D

The electron will continue to move with uniform velocity along the axis of the solenoid.

Text Solution

Verified by Experts

The correct Answer is:
D

The Lorentz force acts on a charged particle in a magnetic and electric field is,
`vecF=q[vecE+(vecVxxvecB)]`
As there is no E,
`vecF=q(vecVxxvecB)`
`F=-evBsintheta`
= `-evBsintheta`
F = 0
So, according to first law of Newton it will continue its motion with constant velocity.
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