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Karnataka Board PUCPUC Science Class 11

The graph of ln RR(RR0) versus ln A (R = radius of a nucleus and A = its mass number) is ______. - Physics

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Question

The graph of ln `("R"/"R"_0)` versus ln A (R = radius of a nucleus and A = its mass number) is ______.

Options

  • a straight line

  • a parabola

  • an ellipse

  • none of them.

MCQ

Solution

The graph of ln `("R"/"R"_0)` versus ln A (R = radius of a nucleus and A = its mass number) is a straight line.

Explanation:

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

`"R" = "R"_0"A"^(1/3)`

`"R"/"R"_0 = "A"^(1/3)`

In `("R"/"R"_0) = 1/3 "In A"`

Therefore, the graph of ln `("R"/"R"_0)` versus ln A is a straight line passing through the origin with slope `1/3`.

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Nuclear Energy - Controlled Thermonuclear Fusion
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Chapter 24: The Nucleus - MCQ [Page 440]

APPEARS IN

HC Verma Concepts of Physics Vol. 2 [English] Class 11 and 12
Chapter 24 The Nucleus
MCQ | Q 5 | Page 440
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