A charge particle moves along circular path in a uniform magnetic field in a cyclotron. The kinetic energy of the charge particle increases to 4 times its initial value. What will be the ratio of new radius to the original radius of circular path of the charge particle
- 1 : 1
- 1 : 2
- 2 : 1
- 1 : 4
The Correct Option is C
Solution and Explanation
The correct option is(C): 2 : 1
\(R=\frac{mv}{Bq}=\frac{\sqrt2mk}{Bq}\)
\(⇒R∝\sqrt{K}\)
⇒ ratio = 2 : 1
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Concepts Used:
Kinetic energy
Kinetic energy of an object is the measure of the work it does as a result of its motion. Kinetic energy is the type of energy that an object or particle has as a result of its movement. When an object is subjected to a net force, it accelerates and gains kinetic energy as a result. Kinetic energy is a property of a moving object or particle defined by both its mass and its velocity. Any combination of motions is possible, including translation (moving along a route from one spot to another), rotation around an axis, vibration, and any combination of motions.
