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Question

Physics Question on Nuclei

The ratio of the density of oxygen nucleus (816O)\left({ }_8^{16} O \right) and helium nucleus (24He)\left({ }_2^4 He \right) is

A

4:14: 1

B

1:11: 1

C

8:18: 1

D

2:12: 1

Answer

1:11: 1

Explanation

Solution

Nuclear density is independent of mass number As nuclear density =34​πR3Au​
Also, R=R0​A31​
And R3=R03​A
⇒ Nuclear density =34​πR03​AAu​
Nuclear density =4πR03​3u​
⇒ Nuclear density is independent of A