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# Solve it, The time period of a charged particle undergoing a circular motion in a uniform magnetic field is independent of its

The time period of a charged particle undergoing a circular motion in a uniform magnetic field is independent of its

• Option 1)

speed

• Option 2)

mass

• Option 3)

charge

• Option 4)

magnetic induction

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As we discussed in

Time period of charged particle -

$T=\frac{2\pi m}{qB}$

- wherein

independent of speed of particle

$mR\omega ^{2}=BqR\omega \Rightarrow \omega =\frac{Bq}{m}\Rightarrow T=\frac{2\pi m}{Bq}$

$T$  is independent of speed.

Option 1)

speed

Correct option

Option 2)

mass

Incorrect option

Option 3)

charge

Incorrect option

Option 4)

magnetic induction

Incorrect option

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