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A proton, a d...

Question

A proton, a deuteron and an $α$ particle are accelerated through same potential difference and then they enter in a normal uniform magnetic field, the ratio of their kinetic energies will be:

2 : 1 : 3

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1 : 1 : 2

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1 : 1 : 1

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1 : 2 : 4

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Solution

The correct option is B $1 : 1 : 2$
Answer is B
Charge of proton is +e
Charge of deuteron is +e
Charge of alpha particle is +2e
Kinetic energy in an electric field having potential V, say at a point x, is directly proportional to charge.
Therefore ratio of kinetic energies are 1:1:2 i.e. ratio of their charges.

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A proton, a deuteron and an α particle are accelerated through same potential difference and then they enter in a normal uniform magnetic field, the ratio of their kinetic energies will be:

A proton, a deuteron and an $α$ particle are accelerated through same potential difference and then they enter in a normal uniform magnetic field, the ratio of their kinetic energies will be: