1. | \(25:16\) | 2. | \(1:1\) |
3. | \(4:5\) | 4. | \(5:4\) |
A nucleus with mass number \(240\) breaks into fragments each of mass number \(120\). The binding energy per nucleon of unfragmented nuclei is \(7.6\) MeV while that of fragments is \(8.5~\text{MeV}\). The total gain in the binding energy in the process is:
A radioactive nucleus \(_{\mathrm{Z}}^{\mathrm{A}}\mathrm{X}\) undergoes spontaneous decay in the sequence \(_{\mathrm{Z}}^{\mathrm{A}}\mathrm{X}\rightarrow \mathrm{B}_{\mathrm{Z-1}}\rightarrow \mathrm{C}_{\mathrm{Z-3}}\rightarrow \mathrm{D}_{\mathrm{Z-2}}\) where \(\mathrm{Z}\) is the atomic number of element \(\mathrm{X}\). The possible decay particles in the sequence are:
1. | \(\beta^{+}, ~\alpha, ~\beta^{-}\) | 2. | \(\beta^{-}, ~\alpha, ~\beta^{+}\) |
3. | \(\alpha, ~\beta^{-},~\beta^{+}\) | 4. | \(\alpha, ~\beta^{+},~\beta^{-}\) |
The energy equivalent of \(0.5\) g of a substance is:
1. \(4.5\times10^{13}\) J
2. \(1.5\times10^{13}\) J
3. \(0.5\times10^{13}\) J
4. \(4.5\times10^{16}\) J
When a uranium isotope \(_{92}^{235}\mathrm{U}\) is bombarded with a neutron, it generates \(_{36}^{89}\mathrm{Kr}\) three neutrons and:
1. \(_{40}^{91}\mathrm{Zr}\)
2. \(_{36}^{101}\mathrm{Kr}\)
3. \(_{36}^{103}\mathrm{Kr}\)
4. \(_{56}^{144}\mathrm{Ba}\)
What happens to the mass number and the atomic number of an element when it emits \(\gamma\text{-}\)radiation?
1. | mass number decreases by four and atomic number decreases by two. |
2. | mass number and atomic number remain unchanged. |
3. | mass number remains unchanged while the atomic number decreases by one. |
4. | mass number increases by four and the atomic number increases by two. |
If the radius of \(_{13}^{27}\mathrm{Al}\) nucleus is taken to be \(\mathrm{R}_{\mathrm{Al}},\) then the radius of \(_{53}^{125}\mathrm{Te}\) nucleus is near:
1. \(\left(\frac{53}{13}\right) ^{\frac{1}{3}}~\mathrm{R_{Al}}\)
2. \(\frac{5}{3}~\mathrm{R_{Al}}\)
3. \(\frac{3}{5}~\mathrm{R_{Al}}\)
4. \(\left(\frac{13}{53}\right)~\mathrm{R_{Al}}\)
The Binding energy per nucleon of \(^{7}_{3}\mathrm{Li}\) and \(^{4}_{2}\mathrm{He}\) nucleon are \(5.60~\text{MeV}\) and \(7.06~\text{MeV}\), respectively. In the nuclear reaction \(^{7}_{3}\mathrm{Li} + ^{1}_{1}\mathrm{H} \rightarrow ^{4}_{2}\mathrm{He} + ^{4}_{2}\mathrm{He} +Q\), the value of energy \(Q\) released is: