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NCERT Class XII Chapter
Nuclei
Questions With Solutions

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Question : 21
Total: 31
From the relation R = R0A1∕3, where R0 is a constant and A is the mass number of a nucleus, show that the nuclear matter density is nearly constant (i.e., independent of A).
Solution:  
Density of nuclear matter =
Mass‌of‌nucleus
Volume
ρ =
A×1‌amu
4
3
πR3
 , where R = R0A1∕3
Density, ρ =
A×1‌amu
4
3
πR03A
 =
1‌amu
4
3
πR03
 =
3‌amu
4πR03
As R0 is constant, ρ is constant
So, nuclear density is constant irrespective of mass number or size.
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