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Question

A proton, a deuteron and an $$\alpha $$ 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
2:1:3
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B
1:1:2
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C
1:1:1
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D
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.

Physics

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