First slide

Force on a charged particle moving in a magnetic field

Question

A uniform magnetic field acts right angles to the. direction of motion of electrons. As a result, the electron moves in a circular path of radius 2 cm. If the speed of electrons is doubled, then the radius of the circular path will be

Easy

A

2.0 cm
B

0.5cm
C

4.0 cm
D

1.0cm

Solution

$r = \frac{mv}{qB} or r \propto v$
As v is doubled, the radius also becomes double. Hence radius = 2x2= 4cm.

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