Which of the following figure represents the variation of lnRR_0 with lnA (if R= radius of a nucleus and A= its mass number)

Correct answer: (B). We know the relation between radius and atomic mass number is R=R_0A^13 ⇒lnR=lnR_0+1/3lnA ⇒lnRR_0=1/3lnA It is similar to y=mx which is equation of line passing through origin.

Q77 / 90 · JEE Main 2022 (25 Jun Shift 2) · Physics

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)

A
Correct answer
B
C
D

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.

Hence, the correct answer is option: 'B'.

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Which of the following figure represents the variation of lnRR0 with lnA (if R= radius of a nucleus and A= its mass number)

Solution

Relevant Questions

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)