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

The graph of lnRR0 versus lnA is where R is radius of a nucleus, A is its mass number, and R0 is constant
  1. A straight line
  2. A circle of radius $R$
  3. A parabola
  4. An ellipse

Solution

Using the relation mass number A and radius R of a nucleus,

R=R0A13  ...(1)

Taking the logarithm of both sides,

lnR=lnR0A13=lnR0+13lnA⇒lnRR0=13lnA

Hence, the graph of lnRR0 vs. 13lnA will be a straight line.

Asked in: AP EAMCET 2022 (04 Jul Shift 1)

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