A narrow beam of protons and deutrons, each having the same momentum, enters a region of uniform magnetic field directed perpendicular to their direction of momentum. The ratio of the radii of the circular paths described by them is

Options

A. `1:2`
B. `1:1`
C. `2:1`
D. `1:3`

Answer

B

Explanation

Since the radius of circualr path of charge particle of an magnetic field `r=(mv)/(qB)=(p)/(qB)`
now the radius of circular path of charge particle of given mometum p and magnetic field B is given by
`r prop (1)/(q)`
But charge on both charge particles protons and deutones is same therefore `(r_(p))/(r_(d))=(q(d))/(q_(p))=1/1`