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A cubical region of space is filled with some uniform electric and magnetic fields. An electrons enters the cube across one of its faces with velocity $\vec{V}$ and a positron enters through opposite face with velocity $- \vec{V} .$ At this instant.

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The magnetic forces on both the particles cause equal accelerations

Both the particles gain or loose energy at the same rate

The electric force on both the particles cause identical accelerations.

The motion of the centre of mass of two particles is determined by $\vec{B}$ alone

answer is B, C, D.

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Detailed Solution

a) ${\vec{F}}_{a} = q \vec{E}$ it depends on sign of q
b) ${\vec{F}}_{e} = q (\vec{V} \times \vec{B})$ both experiences some force
c) Power $P = {\vec{F}}_{e} . \vec{V} = - v e$ and some for both
d) As net electric force on them is zero

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