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← JEE Main 2022 · 29 Jun · Shift 1
PhysicsSingle correct+4 / -1Question 39 of 90

JEE Main 2022 · 29 Jun · Shift 1, Physics question 39

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 :

Choose one option
Answer and worked solution

Official answer: C

Radius r=2mKqB∝Kr=\frac{\sqrt{2mK}}{qB}\propto\sqrt K: four times the energy doubles it, 2 : 1.

(C)