JEE Main202127 Aug 2021Morning ShiftPhysicsMagnetic Effects of CurrentActual
Two ions of masses 4 amu and 16 amu have charges + 2 e and + 3 e respectively. These ions pass through the region of the constant perpendicular magnetic field. The kinetic energy of both ions is the same. Then:
Options
- Alighter ion will be deflected less than heavier ion
- Blighter ion will be deflected more than heavier ion
- Cboth ions will be deflected equally
- Dno ion will be deflected
Correct answer
B. lighter ion will be deflected more than heavier ion
Step-by-step solution
The relation between linear moment and radius in terms of the magnitude of magnetic field and charge of a particle, r = P q B = 2 m k e q B ⇒ r ∝ m q ⇒ r 1 r 2 = 3 4 ⇒ r 2 > r 1 .