Statement 1: If a proton and an `alpha`-particle enter a uniform magnetic field perpendicularly with the same speed, the time period of revolution of `alpha`-particle is double than that of proton.
Statement 2: In a magnetic field, the period of revolution of a charged particle is directly proportional to the mass of the particle and inversely proprotional to the charge of particle.

Answer

A

Explanation

The period of a charged particle in a magnetic field is given by `T=(2pim)/(qB),i.e. T alpha (m)/(q)`
We know that `m_(p)=m. m_a=4m, q_(p)=e, q_(u)=2e`
`therefore (T_(p))/(T_(alpha))=1/2 or T_alpha =2T_(p)`