Q. Consider the following two statements $A$ and $B$ identify the correct answer given A: Nuclear density is same for all nuclei B:Radius of the nucleus $R$ and its mass the number $A$ are related as $\sqrt{A} \propto R^{1/6}$
A) Both A and B are true
B) Both A and B are false
C) A is true but B is false
D) A is false but B is true
Explanation
(c) Nuclear density for all nuclei is same and equal to $10^{17}\ kgm^{- 3}$
Radius of nucleus and mass number are related as
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ R = R_{0}(A)^{1/3}$
$or\ \ \ \ \ \ \ \ \ \ \ \ \ \ R \propto \ (A)^{1/3}$
Thus, (A) is true but (B) is false.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.