Which of the following figure represents the variation of $I_n\left(\frac{R}{R_0}\right)$ with I_nA (if R = radius of a nucleus and A = its mass number)

 

Correct Option - 2


Detailed Solution:

We know, R = R_oA₃₌

_{$\Rightarrow \frac{R}{R_O}=A^3$}

Taking log both side

$lo{g}_e\left(\frac{R}{R_O}\right)=3logA$                

<p>We know, R = R_oA₃₌</p><p>_{<span contenteditable="false"> <math> <mrow> <mo>⇒</mo> <mfrac> <mrow> <mi>R</mi> </mrow> <mrow> <msub> <mrow> <mi>R</mi> </mrow> <mrow> <mi>O</mi> </mrow> </msub> </mrow> </mfrac> <mo>=</mo> <msup> <mrow> <mi>A</mi> </mrow> <mrow> <mn>3</mn> </mrow> </msup> </mrow> </math> </span>}</p><div><div><picture><source srcset="" media=" (max-width: 500px)"><img src="https://images.shiksha.com/mediadata/images/1753953519phpqjox2B.jpeg" alt="" width="223" height="157" loading="lazy"></picture></div><div>Taking log both side</div></div><p><span contenteditable="false"> <math> <mrow> <mi>l</mi> <mi>o</mi> <msub> <mrow> <mi>g</mi> </mrow> <mrow> <mi>e</mi> </mrow> </msub> <mrow> <mo> (</mo> <mrow> <mfrac> <mrow> <mi>R</mi> </mrow> <mrow> <msub> <mrow> <mi>R</mi> </mrow> <mrow> <mi>O</mi> </mrow> </msub> </mrow> </mfrac> </mrow> <mo>)</mo> </mrow> <mo>=</mo> <mn>3</mn> <mi>l</mi> <mi>o</mi> <mi>g</mi> <mi>A</mi> </mrow> </math> </span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; &lt;!- [if gte mso 9]>&lt;xml&gt; <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1026" DrawAspect="Content" ObjectID="_1815479051"> </o:OLEObject>&lt;/xml&gt;&lt;! [endif]-&gt;&nbsp;</p>

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