   Chapter 31, Problem 21CQ

Chapter
Section
Textbook Problem

Explain how a bound system can have less mass than its components. Why is this not observed classically say for a building made of bricks?

To determine

The reason for a bounded system to have less mass than its components also give reason of this not observed classically.

Explanation

Introduction:

The bounded systems are the systems that in which there is strong nuclear forces and the particles are tightly bound together with the nucleus.

For a system the attraction forces are directly proportional to how tightly the system is bound together and the amount of energy which is required to pull the system apart should be higher for a tightly bound system.

Thus, we can define for a nucleus the energy of binding is the amount of energy needed for separate the nucleus into number of protons and neutrons it has.

Since the amount of work to be done in converting a nucleus into its constituent particles of total number of protons and total number of neutrons will lead to the increase in the system mass.

Thus, for a nucleus the amount of work done is equal to the energy of binding which is the amount of energy needed for separate the nucleus into number of protons and neutrons it has.

This will produce a higher value for energy of binding. Since total mass of electrons are very-very less as compare to the nucleus mass that is for a system which is bounded will have the less value of mass than the overall mass of its separated constituent part.

When the nucleus is separated then this energy is converted into its mass that can be calculated by using Einstein's relationship E=(Δm)c2

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