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A Proton and an α-particle Are Accelerated Through the Same Potential Difference. Which One of the Two Has (Ii) Less Kinetic Energy? - CBSE (Science) Class 12 - Physics

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Question

A proton and an α-particle are accelerated through the same potential difference. Which one of the two has less kinetic energy? Justify your answer.

Solution

The kinetic energy is related to accelerating potential as

K.E. = eV

∴ K.E.p = epV

And, K.E.α = eαV

`:.(K.E._p)/(K.E._alpha)=e_p/e_alpha`

Since, the charge on proton is less than that on alpha particle,

K.E.p <  K.E.α for the same potential difference.

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Solution A Proton and an α-particle Are Accelerated Through the Same Potential Difference. Which One of the Two Has (Ii) Less Kinetic Energy? Concept: de-Broglie Relation.
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