Two particles X and Y having equal charges, are accelerated through the same potential difference. They enter a region of a uniform magnetic field and describe a circular path of radii r 1 and r 2 respectively. The ratio of the mass of X to that of Y is

Step-by-step solution

The force acting on the particle inside the magnetic field is F B = q v B sin ⁡ θ θ = 90 ° , F B = q v B This provides the necessary centripetal force F c = m v 2 r ∴ m v 2 r = q v B ⇒ r = m v q B = 2 m q V q B r 1 r 2 = m x m y m x m y = r 1 r 2 2