Question

The time period of the charged particle in cyclotron is $T$ and maximum speed is $V$, then

• A. $T\propto V$
• B. $T\propto V^2$
• C. $T\propto \frac{1}{V}$
• D. None of these.

Answer 1

Answer: (D)

Solution: As we know that,

frequency of revolution of particle in cyclotron is,

${\nu }_c=\frac{qB}{2\pi m}$

and time period is,$T=\frac{1}{{\nu }_c}$

So,$T=\frac{2\pi m}{qB}$ $...\left(1\right)$

$e{q}^n\left(1\right)$ is clearly depict that

time period is independent of velocity of particle.

hence,

The correct opt: D