NEET-XII-Physics
46: The Nucleus
- #5The graph of ln(R/R0) versus ln A(R = radius of a nucleus and A = its mass number) is
(a) a straight line
(b) a parabola
(c) an ellipse
(d) none of them.digAnsr: aAns : (a) a straight line
The average nuclear radius (R) and the mass number of the element (A) has the following relation:
`` R={R}_{o}{A}^{\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$3$}\right.}``
`` \raisebox{1ex}{$R$}\!\left/ \!\raisebox{-1ex}{${R}_{o}$}\right.={A}^{\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$3$}\right.}``
`` \,\mathrm{\,ln\,}\left(\raisebox{1ex}{$R$}\!\left/ \!\raisebox{-1ex}{${R}_{o}$}\right.\right)=\frac{1}{3}\,\mathrm{\,ln\,}A``
`` ``
Therefore, the graph of ln(R/R0) versus ln A is a straight line passing through the origin with slope 1/3.
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