Magnetic Effects Of Current Question 280

Question: If a proton, deutron and $ \alpha - $ particle on being accelerated by the same potential difference enters perpendicular to the magnetic field, then the ratio of their kinetic energies is [MP PMT 2003; J & K CET 2005]

Options:

A) 1 : 2 : 2

B) 2 : 2 : 1

C) 1 : 2 : 1

D) 1 : 1 : 2

Show Answer

Answer:

Correct Answer: D

Solution:

Kinetic energy in magnetic field remains constant and it is $ K=q,V\ \ \Rightarrow \ K\propto q\ $ (V = constant)
$ \therefore \ K_{p}\ :\ K_{d}\ :\ {K_{\alpha }}\ =q_{p}\ :\ q_{d}\ :\ q_{a}=1:1:2 $