Assertion : If a proton and an a-particle enter a uniform magnetic field perpendicularly with the same speed, the time period of revolution of aparticle is double that of proton. Reason : In a magneti

Question

Assertion : If a proton and an a-particle enter a uniform magnetic field perpendicularly with the same speed, the time period of revolution of aparticle is double that of proton. Reason : In a magnetic field, the period of revolution of a charged particle is directly proportional to the mass of the particle and is inversely proportional to charge of particle.

TestHub · Accepted Answer

The period of a charged particle in a magnetic field is given by T = qB 2 πm ​ , i.e., T ∝ q m ​ We know that, m p ​ = m , m α ​ = 4 m , q p ​ = e , q α ​ = 2 e ∴ T α ​ T p ​ ​ = 2 1 ​ or T α ​ = 2 T p ​

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