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Q.

An electron having kinetic energy K is moving in a circular orbit of radius R perpendicular to a uniform magnetic induction. If K.E is doubled and magnetic induction tripled, the radius will become

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a

2R3

b

2R3

c

23R

d

23R

answer is B.

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Detailed Solution

r=mvBq

By substituting the values we will get

r=2mkBq

r1r2=k2k1×B1B2

r1R=2k1k1×B3B

r1=23×R

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An electron having kinetic energy K is moving in a circular orbit of radius R perpendicular to a uniform magnetic induction. If K.E is doubled and magnetic induction tripled, the radius will become