The ratio of the nuclear densities of two ... - CBSE Class 12 ...

CBSE Class 12 Physics 2023 All Sets Paper

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Question : 8 of 18

Marks: +1, -0

The ratio of the nuclear densities of two nuclei having mass number 64 and 125 is

$\frac{64}{125}$
$\frac{4}{5}$
$\frac{5}{4}$
1

Solution:

We know that

Density =

\frac{\text{mass}}{\text{Volume}}

\rho = \frac{m}{v}

v = \frac{43}{\pi} R^3

\because R = R_0 A^{1/3}

\frac{\rho_1}{\rho_2} = \frac{m_1 A_2}{m_2 A_1}

\frac{\rho_1}{\rho_2} = \frac{64 \times 125}{125 \times 64}

\frac{\rho_1}{\rho_2} = 1

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