99 Percentile Qs Bank for JEE MainPhysicsNuclear Physics
The graph of ln R R 0 versus ln A is where R is radius of a nucleus, A is its mass number, and R 0 is constant
Options
- AA straight line
- BA circle of radius R
- CA parabola
- DAn ellipse
Correct answer
A. A straight line
Step-by-step solution
Using the relation mass number A and radius R of a nucleus, R = R 0 A 1 3     . . . ( 1 ) Taking the logarithm of both sides, ln R = ln R 0 A 1 3 = ln R 0 + 1 3 ln A ⇒ ln R R 0 = 1 3 ln A Hence, the graph of ln R R 0 vs. 1 3 ln A will be a straight line.