Question

Two nuclei have mass no in the ratio 2:5 what is the ratio of their nuclear densities

Answer 1

Since the nuclear densities are independent of mass number of nuclei hence, the ration of nuclear densities of nuclei is 1:1

Answer 2

The ratio of their nuclear densities is 1 : 1.

Explanation:

Given,

$\dfrac{A_{1}}{A_{2}} =\dfrac{2}{5}$

To find, the ratio of their nuclear densities = 1 : 1

We know that,

Density$\rho$=$\dfrac{Mass}{Voume}$

∴ $\dfrac{\rho_{1}}{\rho_{2}}=\dfrac{\dfrac{A_{1}}{\dfrac{4}{3}\pi r_{1}^{3}} }{\dfrac{A_{2}}{\dfrac{4}{3}\pi r_{2}^{3}}}}$

$\dfrac{\rho_{1}}{\rho_{2}}=1:1$

Density is same.

Hence, the ratio of their nuclear densities is 1 : 1.