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Tamil Nadu Board of Secondary EducationHSC Science Class 12

Explain in detail the nuclear force. - Physics

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Question

Explain in detail the nuclear force.

Long Answer

Solution

Nucleus contains protons and neutrons. From electrostatics, we learnt that like charges repel each other. In the nucleus, the protons are separated by a distance of about a few Fermi (1 0-15 m), they must exert on each other a very strong repulsive force. For example, the electrostatic repulsive force between two protons separated by a distance 10-15 m

F = `"k" xx "q"^2/"r"^2 = 9 xx 10^9 xx (1.6 xx 10^-19)^2/(10^-15)^2`≈ 230 N

The acceleration experienced by a proton due to the force of 230 N is

a = `"F"/"m" = (230 "N")/(1.67 xx 10^-27 "kg") ≈ 1.4 xx 10^29 "ms"^-2`

This is nearly 1028 times greater than the acceleration due to gravity. So if the protons in the nucleus experience only the electrostatic force, then the nucleus would fly apart in an instant.

From this observation, it was concluded that there must be a strong attractive force between protons to overcome the repulsive Coulomb’s force. This attractive force which holds the nucleus together is called a strong nuclear force. A few properties of strong nuclear force are

  1. The nuclear force is of very short range, acting only up to a distance of a few fermi. But inside the nucleus, the repulsive Coulomb force or attractive gravitational forces between two protons are much weaker than the nuclear force between two protons. Similarly, the gravitational force between two neutrons is also much weaker than the nuclear force between the neutrons. So nuclear force is the strongest force in nature.
  2. The nuclear force is attractive and acts with an equal strength between protonproton, proton-neutron, and neutron – neutron.
  3. Nuclear force does not act on the electrons. So it does not alter the chemical properties of the atom.
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Nuclear Force
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Chapter 9: Atomic and Nuclear physics - Evaluation [Page 191]

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Samacheer Kalvi Physics - Volume 1 and 2 [English] Class 12 TN Board
Chapter 9 Atomic and Nuclear physics
Evaluation | Q III. 6. | Page 191
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