Which of the following figure represents the variation of ln R R 0 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 1 3 ⇒ ln R = ln R 0 + 1 3 ln A ⇒ ln R R 0 = 1 3 ln A It is similar to y = m x which is equation of line passing through origin.

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PhysicsModern PhysicsAtomic structureMedium2 minPYQ_2022

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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:Atomic structure

⏱ 2mℹ️ Source: PYQ_2022

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