## 1. Which one of the following disintegration series of the heavy elements will give ^{209}Bi as a stable nucleus?

^{209}Bi as a stable nucleus?

## 2. The lifetime of an atomic state is 1ns. The natural line width of the spectral line in the emission spectrum of this state is of the order of

## 3. The quark content of $$\sum {^ + } ,\,{K^ - },\,{\pi ^ - }$$ and p is indicated: $$\left| {\sum {^ + } } \right\rangle = \left| {uus} \right\rangle ;\,\left| {{K^ + }} \right\rangle = \left| {s\overline u } \right\rangle ;\,\left| \pi \right\rangle = \left| d \right\rangle ;\,\left| p \right\rangle = \left| {uud} \right\rangle $$

In the process, $${\pi ^ - } + p \to {K^ - } + \sum {^ + } ,$$ considering strong interactions only, which of the following statements is true?

In the process, $${\pi ^ - } + p \to {K^ - } + \sum {^ + } ,$$ considering strong interactions only, which of the following statements is true?

## 4. The four possible configurations of neutrons in the ground state of $${}_4^9Be$$ nucleus according to the shell model, and the associated nuclear spin are listed below. Choose the correct one

## 5. In the β-decay of neutron n → p + e^{-} + $$\overline V e$$ , the anti-neutrino $$\overline V e$$ escapes detection. Its existence is inferred from the measurement of

^{-}+ $$\overline V e$$ , the anti-neutrino $$\overline V e$$ escapes detection. Its existence is inferred from the measurement of

## 6. The strangeness quantum number is conserved in

## 7. The cross-sections of the reactions $$p + {\prod {} ^ - } \to {\sum {} ^ - } + {K^ + }$$ and $${p^ - } + {\prod {} ^ + } \to {\overline {\sum {} } ^ - } + {K^ - }$$ at a given energy are the same due to

## 8. A neutron scatters elastically from a heavy nucleus. The initial and final states of the neutron have the

## 9. The mass difference between the pair of mirror nuclei $${}_6^{11}C$$ and $${}_5^{11}B$$ is given to be Δ MeV/c^{2}. According to the semi-empirical mass formula, the mass difference between the pair of mirror nuclei $${}_9^{17}F$$ and $${}_8^{17}O$$ will approximately be (rest mass of proton m_{p} = 938.27 MeV/c^{2} and rest mass of neutron m_{n} = 939.57 MeV/c^{2})

^{2}. According to the semi-empirical mass formula, the mass difference between the pair of mirror nuclei $${}_9^{17}F$$ and $${}_8^{17}O$$ will approximately be (rest mass of proton m

_{p}= 938.27 MeV/c

^{2}and rest mass of neutron m

_{n}= 939.57 MeV/c

^{2})

## 10. Consider a nucleus with N neutrons and Z protons. If m_{p}, m_{n} and BE represents the mass of the proton, the mass of the neutron and the binding energy of the nucleus respectively and c is the velocity of light in free space, the mass of the nucleus is given by

_{p}, m

_{n}and BE represents the mass of the proton, the mass of the neutron and the binding energy of the nucleus respectively and c is the velocity of light in free space, the mass of the nucleus is given by