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

Question

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

Infinity Learn · Accepted Answer

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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