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The Graph of Ln(R/R0) Versus Ln A(R = Radius of a Nucleus and a = Its Mass Number) is - Physics

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ConceptNuclear Energy Controlled Thermonuclear Fusion

Question

The graph of ln(R/R0) versus ln A(R = radius of a nucleus and A = its mass number) is

  • a straight line

  • a parabola

  • an ellipse

  • none of them.

Solution

(a) a straight line
The average nuclear radius (R) and the mass number of the element (A) has the following relation :

`R = R_0A^(1/3)`

`R"/"R_0 = A^(1/3)`

In `(R"/"R_0) = 1/3 "In A"`

Therefore, the graph of ln(R/R0) versus ln A is a straight line passing through the origin with slope 1/3.

  Is there an error in this question or solution?

APPEARS IN

 HC Verma Solution for Concepts of Physics - Vol. 2 (2018 to Current)
Chapter 24: The Nucleus
MCQ | Q: 5 | Page no. 440
Solution The Graph of Ln(R/R0) Versus Ln A(R = Radius of a Nucleus and a = Its Mass Number) is Concept: Nuclear Energy - Controlled Thermonuclear Fusion.
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