Which of the following figure represents the variation of ln ( R 0 R ) with ln A (if R = radius of a nucleus and A = its mass number)

We know the relation between radius and atomic mass number is R = R 0 A 3 1 ⇒ ln R = ln R 0 + 3 1 ln A ⇒ ln ( R 0 R ) = 3 1 ln A It is similar to y = m x which is equation of line passing through origin.

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Which of the following figure represents the variation of $ln (\frac{R}{R _{0}})$ with $ln A$ (if $R =$ radius of a nucleus and $A =$ its mass number)

Options:

Answer:

Solution:

We know the relation between radius and atomic mass number is $R = R_{0} A^{\frac{1}{3}}$ $\Rightarrow ln R = ln R_{0} + \frac{1}{3} ln A$

$\Rightarrow ln (\frac{R}{R _{0}}) = \frac{1}{3} ln A$
It is similar to $y = m x$ which is equation of line passing through origin.

Stream:JEESubject:PhysicsTopic:Modern PhysicsSubtopic:Nuclear physics

⏱ 2mℹ️ Source: QB

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