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Q.

An electron is projected with velocity V0 in a uniform electric field E perpendicular to the field. Again it is projected with velocity V0 perpendicular to a uniform magnetic field B. If r1 is initial radius of curvature just after entering in the electric field and r2 is initial radius of curvature just after entering in magnetic field then r1/r2 is

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a

BVo2E

b

BE

c

EVoB

d

BVoE

answer is D.

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Detailed Solution

In electric field, electrostatic force provides centripetal force ,   mVo2r1=Eq⇒r1=mVo2Eq ..............(1)In magnetic field, magnetic force provides centripetal force  ,  BqVo=mVo2r2⇒r2=mVoBq .................(2)         (1)(2)⇒r1r2=BVoE
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