Nuclear Physics

A nucleus of mass number $189$ splits into two nuclei having mass number $125$ and $64$. The ratio of radius of two daughter nuclei respectively is:

Radioactive material A has decay constant 8$\lambda$ and material B has decay constant $\lambda$. Initially they have the same number of nuclei. After what time, the ratio of number of nuclei of material A to that B…

The Binding energy per nucleon of Li37 and He24 nucleon are 5.60 MeV and 7.06 MeV, respectively. In the nuclear reaction 37Li+ 11H$\rightarrow$ 24He+ 24He+Q, the value of energy Q released is

A radio isotope 'X' with a half life 1.4$\times$109 years decays to 'Y' which is stable. A sample of the rock from a cave was found to contain 'X' and 'Y' in the ratio 1:7. The age of the rock is

The half life of radioactive sample undergoing \$\alpha$-decay is \$1.4\times10^{17}s.$ If the number of nuclei in the sample is \$2.0\times10^{21},$ the activity of the sample is nearly:

$\alpha$-particle consists of

A radioactive nucleus AZX undergoes spontaneous decay in the sequence AZX$\rightarrow$Z-1B$\rightarrow$Z-3C$\rightarrow$Z-2D, where Z is the atomic number of element X. The possible decay particles in the sequence are:

Consider the following nuclear reaction : $^{238}\text{U}\rightarrow{}^{234}\text{Th}+{}^4\text{He}$ Take masses of $^{238}\text{U}$, $^{234}\text{Th}$ and $^4\text{He}$ as $238.050$ u, $234.043$ u and $4.003$ u,…

An unknown nucleus has a nuclear density of $2.29 \times 10^{17}$ kg/m$^3$ and mass of $19.926 \times 10^{-27}$ kg. Its mass number $A$ is approximately : (Take $R_0 = 1.2 \times 10^{-15}$ m; $4\pi = 12.56$)

Four statements are given (A is mass number) : A. The volume of a nucleus is proportional to $A^{1/3}$. B. The volume of a nucleus is proportional to $A$. C. The difference in mass of an atom and its nucleus is called…

In the nuclear emission stated above, the mass number and atomic number of the product $Q$ respectively, are

Select the correct statements among the following : A. Slow neutrons can cause fission in ${ }_{92}^{235} \mathrm{U}$ than fast neutrons. B. $\alpha$-rays are Helium nuclei. C. $\beta$-rays are fast moving electrons or…