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Question: If a proton, deutron and \(\alpha -\)particle on being accelerated by the same potential difference ...

If a proton, deutron and α\alpha -particle on being accelerated by the same potential difference enters perpendicular to the magnetic field, then the ratio of their kinetic energies is

A

1 : 2 : 2

B

2 : 2 : 1

C

1 : 2 : 1

D

1 : 1 : 2

Answer

1 : 1 : 2

Explanation

Solution

Kinetic energy in magnetic field remains constant and it Is

K=qVKqK = q V \Rightarrow K \propto q(V = constant)

Kp:Kd:Kα=qp:qd:qa=1:1:2\therefore K _ { p } : K _ { d } : K _ { \alpha } = q _ { p } : q _ { d } : q _ { a } = 1 : 1 : 2