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College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000

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BuyFindarrow_forward

College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000
Textbook Problem

What is the ratio of the velocity of a (particle to that of an (particle, if they have the same nonrelativistic kinetic energy?

To determine

The ratio of the velocity of a β particle to that of an a particle, if they have the same nonrelativistic kinetic energy.

Explanation

Given info:

From standard tables,

Mass of a β particle ( electron)

  mβ=9.109×1031kg

Mass of an a particle

  mα=6.644×1027kg

Both β particle and the a particle have the same nonrelativistic kinetic energies.

Formula used:

The non-relativistic kinetic energies of the β particle and the a particle are given by the expressions,

  Kβ=12mβvβ2Kα=12mαvα2

Here, the velocities of the β particle and the a particle are vβ and vα

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