If the radius of \(_{13}^{27}\mathrm{Al}\) nucleus is taken to be \({R}_{\mathrm{Al}},\) then the radius of \(_{53}^{125}\mathrm{Te}\) nucleus is near:

1.	\(\left(\frac{53}{13}\right) ^{\frac{1}{3}}~{R_{Al}}\)	2.	\(\frac{5}{3}~{R_{Al}}\)
3.	\(\frac{3}{5}~{R_{Al}}\)	4.	\(\left(\frac{13}{53}\right)~{R_{Al}}\)

If the nuclear radius of \(^{27}\text{Al}\) is \(3.6\) Fermi, the approximate nuclear radius of \(^{64}\text{Cu}\) in Fermi is:
1. \(2.4\)
2. \(1.2\)
3. \(4.8\)
4. \(3.6\)

If \(M(A,~Z)\), \(M_p\)${}_{}$, and \(M_n\) denote the masses of the nucleus \(^{A}_{Z}X,\) proton, and neutron respectively in units of \(u\) \((1~u=931.5~\text{MeV/c}^2)\) and represent its binding energy \((BE)\) in \(\text{MeV}\). Then:

Two nuclei have their mass numbers in the ratio of \(1:3.\) The ratio of their nuclear densities would be:
1. \(1:3\)
2. \(3:1\)
3. \((3)^{1/3}:1\)
4. \(1:1\)

In the radioactive decay process, the negatively charged emitted β-particles are:

For radioactive material, the half-life is \(10\) minutes. If initially, there are \(600\) number of nuclei, the time taken (in minutes) for the disintegration of \(450\) nuclei is :
1. \(20\)
2. \(10\)
3. \(30\)
4. \(15\)

Binding energy per nucleon plot against the mass number for stable nuclei is shown in the figure. Which curve is correct ?

1. A
2. B
3. C
4. D

The dependence of binding energy per nucleon, ${\mathrm{B}}_{\mathrm{N}}$ on the mass number, A, is represented by