Solved: PHYSICS Question for NEET

NEET PHYSICSEasy

The radius of a nucleus of a mass number $A$ is directly proportional to:

$A^3$

$A$

$A^{2/3}$

$A^{1/3}$

Formula: Experimental results show that the volume of a nucleus is directly proportional to its mass number $A$ . Since the nucleus is roughly spherical, Volume $\propto R^3$ . Therefore, $R^3 \propto A$ , or $R \propto A^{1/3}$ .
Standard Equation: The average radius $R$ of a nucleus is given by the relation $R = R_0 A^{1/3}$ , where $R_0$ is a constant ( $1.1 \times 10^{-15}$ m) and $A$ is the mass number .
Conclusion: The radius is directly proportional to $A^{1/3}$ .

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