Q.

An electron moves in a circular orbit with a uniform speed v. It produces a magnetic field B at the centre of the circle. The radius of the circle is proportional to

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a

Bv

b

vR

c

vB

d

Bv

answer is C.

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Detailed Solution

Electric current corresponding to the revolution of electron is i=ev2πr. Magnetic field due to circular current at the centre is B  =  μ04π . 2πir  =  μ04π . evr2 ⇒  r= μ04π .evB  ⇒  r ∝  vB
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