The binding energy per nucleon of ${}_3^7Li$ and ${}_2^4He$ nuclei are $5.60\,MeV$ and $7.06\,MeV$ respectively. In the nuclear reaction ${}_3^7Li + {}_1^1H \to 2{}_2^4He + Q$, the value of energy $Q$ released is.........$MeV$.

  • A
    $19.6$
  • B
    $2.4$
  • C
    $8.4$
  • D
    $17.3$

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Which of the following statement$(s)$ is/are true in respect of nuclear binding energy?
$(i)$ The mass energy of a nucleus is larger than the total mass energy of its individual protons and neutrons.
(ii) If a nucleus could be separated into its nucleons,an energy equal to the binding energy would have to be transferred to the particles during the separating process.
(iii) The binding energy is a measure of how well the nucleons in a nucleus are held together.
(iv) The nuclear fission is somehow related to acquiring higher binding energy.

Two nuclei of mass number $3$ combine with another nucleus of mass number $4$ to yield a nucleus of mass number $10$. If the binding energy per nucleon for the mass numbers $3$,$4$,and $10$ are $5.6 \text{ MeV}$,$7.4 \text{ MeV}$,and $6.1 \text{ MeV}$,respectively,then in the process,$\Delta Mc^2 = . . . . . . \text{ MeV}$.

In a nuclear fission process,a nucleus $A$ divides into two nuclei $B$ and $C$. If their binding energies are ${E_a}$,${E_b}$,and ${E_c}$ respectively,which of the following relations is correct?

How much energy is released when $1 \,g$ of hydrogen is converted into $0.993 \,g$ of helium?

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One microgram of matter converted into energy will give:

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