Q 1 :    

Binding energy of a certain nucleus is $18\times {10}^8$J. How much is the difference between total mass of all the nucleons and nuclear mass of the given nucleus      [2024]

• $0.2$ $\mu g$

   

• $20$ $\mu g$

   

• $10$ $\mu g$

   

• $2$ $\mu g$

   

Q 2 :    

If $M_o$ is the mass of isotope ${}_5{}^{12}B$, $M_p$ and $M_n$ are the masses of proton and neutron, then nuclear binding energy of isotope is                [2024]

• $(M_o-5M_p-7M_n)C^2$

   

• $(M_o-12M_n)C^2$

   

• $(M_o-5M_p)C^2$

   

• $(5M_p+7M_n-M_o)C^2$

   

Q 3 :    

The energy equivalent of 1 g of substance is:                   [2024]

•  $11.2\times {10}^{24} MeV$

   

• $5.6\times {10}^{12} MeV$

   

• $5.6 eV$

   

• $5.6\times {10}^{26} MeV$

   

Q 4 :    

The atomic mass of ${}_{6}C^{12}$ is 12.00000u and that of ${}_{6}C^{13}$ is 13.003354u. The required energy to remove a neutron from ${}_{6}C^{13}$, if mass of neutron is 1.008665u, will be                   [2024]

• 62.5 MeV

   

• 6.25 MeV

   

• 4.95 MeV

   

• 49.5 MeV

   

Q 5 :    

If three helium nuclei combine to form a carbon nucleus then the energy released in this reaction is _________ $\times {10}^{-2}$ MeV. (Given 1u = 931 MeV/$c^2$, atomic mass of helium = 4.002603u).                [2024]

Q 6 :    

A star has 100% helium composition. It starts to convert three ${}^{4}He$ into one ${}^{12}C$ via triple alpha process as ${}^{4}He+{}^{4}He+{}^{4}He\to {}^{12}C+Q$. The mass of the star is $2.0\times {10}^{32}$ kg and it generates energy at the rate of $5.808\times {10}^{30}$W. The rate of converting these ${}^{4}He$ is $n\times {10}^{42}$ $s^{-1}$, where $n$ is _______ . 

 

[Take, mass of ${}^{4}He$ = 4.0026 u, mass of ${}^{12}C$ = 12 u]             [2024]

Q 7 :    

In a nuclear fission process, a high mass nuclide (A $\approx$ 236) with binding energy 7.6 MeV/Nucleon dissociated into middle mass nuclides (A $\approx$ 118), having binding energy of 8.6 MeV/Nucleon. The energy released in the process would be _______ meV.              [2024]

Q 8 :    

The mass defect in a particular reaction is 0.4 g. The amount of energy liberated is $n\times {10}^7$ kWh, where n = ______. (speed of light = $3\times {10}^8$ m/s)          [2024]

Q 9 :    

In a nuclear fission reaction of an isotope of mass M three similar daughter nuclei of same mass are formed. The speed of a daughter nuclei in terms of mass defect $∆M$ will be               [2024]

• $\sqrt{\frac{2c\Delta M}{M}}$

   

• $\frac{\Delta M{c}^2}{3}$

   

• $c\sqrt{\frac{2\Delta M}{M}}$

   

• $c\sqrt{\frac{3\Delta M}{M}}$

   

Q 10 :    

Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R).                   [2025]

Assertion (A): The binding energy per nucleon is found to be practically independent of the atomic number A, for nuclei with mass numbers between 30 and 170.

Reason (R): Nuclear force is long range.

In the light of the above statements, choose the correct answer from the options given below:

• (A) is false but (R) is true

   

• (A) is true but (R) is false

   

• Both (A) and (R) are true and (R) is the correct explanation of (A)

   

• Both (A) and (R) are true but (R) is NOT the correct explanation of (A)