Question

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

• A. 1 : 1
• B. 1 : 2
• C. 2 : 1
• D. 1 : 4

Answer 1

Answer: (C)

2 : 1

Answer 2

The correct option is(C): 2 : 1

$R=\frac{mv}{Bq}=\frac{\sqrt2mk}{Bq}$

$⇒R∝\sqrt{K}$

⇒ ratio = 2 : 1