MereTeacher

JEE • NEET • FOUNDATION

JEE · NEET Previous Year Question

$The graph of ln (\frac{R}{R _{o}}) versus ln A is where R is radius of a nucleus, A is its mass number, and R_{0} is constant$

Topic: JEE PYQ

Answer: A. Full step-by-step solution below.

A $A straight line$
B $A circle of radius R$
C $A parabola$
D $An ellipse$

Correct answer: A

Solution

(a) We have R = R_{0} A^{1/3} \Rightarrow \frac{R}{R _{o}} = A^{\frac{1}{3}} \Rightarrow ln (\frac{R}{R _{o}}) = \frac{1}{3} ln A So, graph between ln (\frac{R}{R _{0}}) and ln A is straight line.

More Nuclei PYQs

$A radioactive nucleus can decay by two different processes. The half lives of the first and second decay processes are\dots$
$α -decay of a parent nucleus X results in a daughter nucleus Y. If m_{x}, m_{y} and m_{a} are the mas\dots$
$Half life of a radioactive element is 12.5 hour and its quantity is 256 g . After how much time its quantity will remain 1 g ?$
$The activity of a radioactive sample is measured as N_{0} counts per minute at t = 0 and N_{0} / e counts per minute at\dots$
$A nucleus with mass number 240 breaks into two fragments each of mass number 120, the binding energy per nucleon of unfragmented n\dots$