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Question

A charge particle of charge q, mass m is projected with a velocity v=v^i . The electric field E=E^k and magnetic field B=B^j is applied. The acceleration of the particle is

A
qvBm^k
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B
qEm^k
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C
q(E+vB)^km
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D
q(EvB)^km
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Solution

The correct option is C q(E+vB)^km
Acceleration = forcemass=Fm
And we know that FE=qE
FB=q(V×B)=q(V^i×B^j)=qVB^k
a=q(vB+E)m^k

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