   Chapter 31, Problem 11PE

Chapter
Section
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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