Question

Given below are two statements.

Statement I : A cyclotron is a device which is used to accelerate a charged particle.

Statement II: Cyclotron frequency depends upon the velocity.

Select the correct option.

• A. Statements I and II are true, and Statement II is the correct explanation for Statement I
• B. Statements I and II are true, and Statement II is not the correct explanation for Statement I
• C. Statement I is true, but Statement II is false
• D. Statement I is false, but Statement II is true

Answer 1

The correct option is C Statement I is true, but Statement II is false

Cyclotron is used to accelerate charged particles. Therefore, positive ion can be accelerated in the cyclotron.

Hence, Statement I is true.

Also, frequency, $f=\frac{Bq}{2\pi m}$

It is clear from the above relation that the cyclotron frequency does not depend upon the velocity of the charged particle.

Hence, Statement II is false.