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Wave Optics

Question
CBSEENPH12039081

(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
straight R straight space equals straight space straight R subscript 0 straight A to the power of bevelled 1 third end exponent

Let, m be the mass of nucleon.

Therefore,

Density, Error converting from MathML to accessible text. 

Thus, we can see that density is independent of mass number A.

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