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AP EAMCET20224 Jul 2022Morning ShiftPhysicsNuclear PhysicsActual

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

  1. AA straight line
  2. BA circle of radius R
  3. CA parabola
  4. 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.

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