First slide

Force on a charged particle moving in a magnetic field

Question

A charged particle of mass 2 x 10^-12 kg carrying a charge of 4 x 10^-9 coul is projected in a uniform magnetic field of 2 x 10^-4 tesla with a velocity of 10 m/s making an angle of 60° with the magnetic field. If acceleration due to gravity in that field is zero, then length of path praversed by the particle in 1 minute is

Moderate

A

600 m
B

6 x 10³ m
C

6 x 10⁴m
D

60 m

Solution

The path followed by the particle is a helix and speed of the particle remains unchanged as work done by the magnetic force is zero.
$∴$ length of path traversed = speed x time = 10 x 60 m =600 m.

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