Question
(i) What characteristic property of nuclear force explains the constancy of binding energy per nucleon (BE/A) in the range of mass number ‘A’ lying 30 < A < 170?
(ii) Show that the density of nucleus over a wide range of nuclei is constant- independent of mass number A.Solution
i) The characteristic property of nuclear force that explains the constancy of binding energy per nucleon is the saturation or short range nature of nuclear forces.
In heavy nuclei, nuclear size > range of nuclear force.
ii) Using the formula for radius of the nucleon, we have
Let, m be the mass of nucleon.
Therefore,
Density,
Thus, we can see that density is independent of mass number A.