Question

A charge moves in a circle perpendicular to magnetic field upon which of the following the time period of revolution does not depends.
a)magnetic field b)charge
c)mass of the particle d)velocity of the particle

Answer 1

Answer:

Explanation:

Velocity of the particle

Answer 2

answer : option (d) velocity of the particle.

explanation : when a charged particle moves in circular path due to magnetic field.

then, centripetal force = magnetic force

⇒mv²/r = Bqv

⇒mv/r = Bq

we know, v = ωr = 2πr/T

so, m(2πr/T)/r = Bq

⇒2πm/T = Bq

⇒T = 2πm/Bq

hence, time period of charged particle depends on

• mass of particle,
• magnetic field ,
• charge on Particle,

but Time period doesn't depend on velocity of particle.

so, option (d) is correct choice.