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A cubical region of space is filled with...

A cubical region of space is filled with some uniform electric and magnetic fields. An electron enters the cube across one of its faces with velocity `vecv` and a position enters via opposite face with velocity `-vecv`. At this instant,

A

the electric forces on both the particles cause indentical accelerations

B

the mangetic forces on both the particles cause equal acceleration

C

both the particles gain or loose energy at the same rate

D

the motion of the centre of mass determined by `vecB` alone

Text Solution

Verified by Experts

The correct Answer is:
B, C, D
For electric field `vecF= q vecE`.
So, `vecF_(e)=-eveE and vecF_(p)=+vecE`.
Resultant electric force `=vecF_(e)+vecF_(p)=vec0`
For magnetic field `=vecF_(e)=-e vecvxx vecB`,
`vecF_(p)=+e(-vecv xx vecB)=- e vec vxx vecB= vecF_(e)`
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