+3 votes
in Physics by kratos

How does the size of a nucleus depend on its mass number? Hence explain why the density of nuclear matter is independent of the size of nucleus.

1 Answer

+3 votes
by kratos
 
Best answer

The radius (size) R of nucleus is related to its mass number (A) as

R = R0A1/3 where R0 = 1.1 × 10–15 m

If m is the average mass of a nucleon, then mass of nucleus = mA, where A is mass number

Volume of nucleus

∴ Density of nucleus,

Clearly nuclear density ρN is independent of mass number A.

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