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  • Which of the following figure represents the variable of   <img alt="\mathrm{ln\left ( \frac{R}{R_{0}} \right )}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%7Bln%5Clef

Which of the following figure represents the variable of   \mathrm{ln\left ( \frac{R}{R_{0}} \right )} with \mathrm{ln\: A} ( if R= radius of nucleus and A=it's mass number )

Option: 1


Option: 2


Option: 3


Option: 4


Answers (1)

best_answer

We know that,

\mathrm{R=R_{0} A^{1 / 3}} \\

\mathrm{\frac{R}{R_{0}}=A^{1 / 3} }\\

\mathrm{\ln \left(\frac{R}{R_{0}}\right)=\ln A^{1 / 3}} \\

\mathrm{\ln \left(\frac{R}{R_{0}}\right)=\frac{1}{3} \ln A}

Slope of graph \mathrm{\ln \left(\frac{R}{R_{0}}\right) v s \ln (A)}  is  \mathrm{\left ( \frac{1}{3} \right )}.

Hence the correct answer is option 2.

Posted by

vinayak

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