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A particle having 2 C charge passes thro...

A particle having 2 C charge passes through magnetic field of `4hatkT` and some uniform electric field with velocity `25hatj`. If the Lorentz force acting on it is `400hatiN`, find the electric field in this region.

A

`200hati`

B

`200hatk`

C

`100hati`

D

`10hatj`

Text Solution

Verified by Experts

The correct Answer is:
C
Lorentz force `vecF=q[vecE+(vecvxxvecB)]`
Here, q = 2C, `vecv=25hatjms^(-1),vecB=4hatkT,vecF=400hati`
`therefore400hati=2[vecE+(25)(4)(hatjxxhatk)]`
`therefore400hati=2vecE+200hati`
`therefore2vecE=200hati`
`thereforevecE=100hatiVm^(-1)`
`thereforevecE=100hatiVm^(-1)`
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