A proton is projected with velocity vi^ into a region where magnetic field of induction Bk^ exists. Now a uniform electric field is switched on such that the velocity of proton remains unchanged. The electric field must be
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a
E→=Bvj^
b
E→=-vBk^
c
E→=Bvi^
d
E→=Bvj^
answer is D.
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Detailed Solution
Lorentz force on the proton must be zero.∴ eE→+ev→×B→=0E→=-vi^×Bk^=vBj^
A proton is projected with velocity vi^ into a region where magnetic field of induction Bk^ exists. Now a uniform electric field is switched on such that the velocity of proton remains unchanged. The electric field must be