The graph of ln left(frac{R}{R_0}right) versu | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) The relationship between the radius $R$ of a nucleus and its mass number $A$ is given by the formula:$R = R_0 A^{1/3} \dots(1)$Taking the natural

Vedclass · Accepted Answer

$A$ straight line

Vedclass · Answer

(A) The relationship between the radius $R$ of a nucleus and its mass number $A$ is given by the formula:$R = R_0 A^{1/3} \dots(1)$Taking the natural logarithm on both sides:$\ln(R) = \ln(R_0 A^{1/3}) = \ln(R_0) + \frac{1}{3} \ln(A)$Rearranging the terms to isolate the ratio:$\ln(R) - \ln(R_0) = \frac{1}{3} \ln(A)$$\ln \left(\frac{R}{R_0}\right) = \frac{1}{3} \ln(A)$This equation is of the form $y = mx$,where $y = \ln \left(\frac{R}{R_0}\right)$,$x = \ln(A)$,and the slope $m = \frac{1}{3}$.Since this represents a linear equation passing through the origin,the graph is a straight line.

The graph of $\ln \left(\frac{R}{R_0}\right)$ versus $\ln A$ is,where $R$ is the radius of a nucleus,$A$ is its mass number,and $R_0$ is a constant.

Similar Questions

Specify the mass of a proton in kilograms and in the $u$ (atomic mass unit).

$A$ nucleus has mass number $A_1$ and volume $V_1$. Another nucleus has mass number $A_2$ and volume $V_2$. If the relation between the mass numbers is $A_2 = 3 A_1$,then $\frac{V_1}{V_2} =$

If the nucleus ${}_{13}^{27}Al$ has a nuclear radius of about $3.6 \, fm$,then ${}_{52}^{125}Te$ would have its radius approximately as .......$fm$.

What kind of force exists between two neutrons?

The atomic weight of boron is $10.81$ and it has two isotopes $_5B^{10}$ and $_5B^{11}$. The ratio of $_5B^{10} : _5B^{11}$ in nature is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module