Q. No.(velocity of light, \(c=3\times10^8~\text{m/s}) \)
1. \(4\times10^{-2}~\text{gm} \)
2. \(6.6\times10^{-5}~\text{gm} \)
3. \(0.8~\text{gm} \)
4. \(0.96~\text{gm} \)
In a reactor, \(2\) kg of \({ }_{92} \mathrm{U}^{235}\) fuel is fully used up in \(30\) days. The energy released per fission is \(200\) MeV. Given that the Avogadro number, \(\mathrm{N}=6.023 \times 10^{26} \) per kilo mole and \(1~ \mathrm{eV}=1.6 \times 10^{-19}~\text{J}\). The power output of the reactor is close to:
1. \(125 ~\text{MW}\)
2. \(60~\text{MW}\)
3. \(35 ~\text{MW}\)
4. \(54 ~\text{MW}\)
Given the following particle masses:
\(m_p=1.0072~\text{u}\) (proton)
\(m_n=1.0087~\text{u}\) (neutron)
\(m_e=0.000548~\text{u}\) (electron)
\(m_\nu=0~\text{u}\) (antineutrino)
\(m_d=2.0141~\text{u}\) (deuteron)
Which of the following processes is allowed, considering the conservation of energy and momentum?
| 1. | \(n+p \rightarrow d+\gamma\) |
| 2. | \(e^{+}+e^{-} \rightarrow \gamma\) |
| 3. | \(n+n\rightarrow \text{}\) deuterium atom (electron bound to the nucleus) |
| 4. | \(p \rightarrow n+e^{+}+\nu\) |
An \(\mathrm{X} \text-\)ray beam has a wavelength of \(10 ~\mathring{A}.\) A fictitious particle has the same energy as that of an \(\mathrm{X} \text-\)ray photon. If the mass of this particle is expressed as \(m=\dfrac{xh}{3}~\text{kg}, \) where \(h\) is Planck’s constant, what is the value of \(x\)?
| 1. | \(15\) | 2. | \(10\) |
| 3. | \(20\) | 4. | \(25\) |
1. \(11.2 \times 10^{24} \mathrm{MeV}\)
2. \(5.6 \times 10^{26} \mathrm{MeV}\)
3. \(5.6 \mathrm{eV}\)
4. \(5.6 \times 10^{12} \mathrm{MeV}\)
1. \(5.5~\text{MeV}\)
2. \(5.38~\text{MeV}\)
3. \(5.0~\text{MeV}\)
4. \(0.12~\text{MeV}\)
| \(\mathrm{A.}\) | Atoms of each element emit characteristics spectrum. |
| \(\mathrm{B.}\) | According to Bohr’s Postulate, an electron in a hydrogen atom, revolves in a certain stationary orbit. |
| \(\mathrm{C.}\) | The density of nuclear matter depends on the size of the nucleus. |
| \(\mathrm{D.}\) | A free neutron is stable but a free proton decay is possible. |
| \(\mathrm{E.}\) | Radioactivity is an indication of the instability of nuclei. |
Choose the correct answer from the options given below :
| 1. | \(\mathrm{B}\) and \(\mathrm{D,}\) only | 2. | \(\mathrm{A,}\) \(\mathrm{C,}\) and \(\mathrm{E}\) only |
| 3. | \(\mathrm{A,}\) \(\mathrm{B,}\) \(\mathrm{C,}\) \(\mathrm{D,}\) and \(\mathrm{E}\) | 4. | \(\mathrm{A,}\) \(\mathrm{B,}\) and \(\mathrm{E}\) only |
| 1. | \(c \sqrt{\dfrac{6 \Delta m}{(M-\Delta m)}} \) | 2. | \(c \sqrt{\dfrac{2 \Delta m}{(M-\Delta m)}}\) |
| 3. | \(c \sqrt{\dfrac{3 \Delta m}{(M-\Delta m)}}\) | 4. | \(c \sqrt{\dfrac{\Delta m}{(M-\Delta m)}} \) |
(Take \(1~\text U=930.5~\text{MeV/c}^2) \)
1. \(\dfrac{3722}{10}~\text{MeV}\)
2. \(\dfrac{3622}{10}~\text{MeV}\)
3. \(\dfrac{4722}{10}~\text{MeV}\)
4. \(\dfrac{4622}{10}~\text{MeV}\)
| 1. | \({ }_{56}^{141} \mathrm{Ba}+{ }_{36}^{92} \mathrm{Kr}+3{ }_0^1 \mathrm{n} \) | 2. | \({ }_{56}^{141} \mathrm{Ba}+{ }_{36}^{92} \mathrm{Kr}+4{ }_0^1 \mathrm{n} \) |
| 3. | \({ }_{10}^{20} \mathrm{Ne}+{ }_{51}^{122} \mathrm{Sb}+3{ }_0^1 \mathrm{n} \) | 4. | \({ }_{10}^{20} \mathrm{Ne}+{ }_{51}^{122} \mathrm{Sb}+4{ }_0^1 \mathrm{n} \) |
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