Nucleus $A$ has a mass number of $220$ and its binding energy per nucleon is $5.6 \, MeV$. It splits into two fragments '$B$' and '$C$' with mass numbers $105$ and $115$,respectively. The binding energy per nucleon for both '$B$' and '$C$' is $6.4 \, MeV$. The energy $Q$ released per fission will be............$MeV$.
- A$0.8$
- B$275$
- C$220$
- D$176$
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Similar Questions
Which of the following elements has the maximum binding energy per nucleon?
The mass of ${ }_7 N ^{15}$ is $15.00011 \ amu$,the mass of ${ }_8 O ^{16}$ is $15.99492 \ amu$,and $m_p = 1.00783 \ amu$. Determine the binding energy of the last proton of ${ }_8 O ^{16}$ in $MeV$.
Easy
View SolutionThe mass of a proton is $1.0073 \; u$ and that of a neutron is $1.0087 \; u$ ($u =$ atomic mass unit). The binding energy of ${ }_2^4 \text{He}$ is (Given: helium nucleus mass $\approx 4.0015 \; u$):
MediumAIPMT 2003
View SolutionOne requires energy ${E_n}$ to remove a nucleon from a nucleus and an energy ${E_e}$ to remove an electron from the orbit of an atom. Then:
Easy
View SolutionList-$I$ shows various functional dependencies of energy $(E)$ on the atomic number $(Z)$. Energies associated with certain phenomena are given in List-$II$. Choose the option that describes the correct match between the entries in List-$I$ to those in List-$II$.
List-$I$ List-$II$ $(P) \ E \propto Z^2$ $(1)$ energy of characteristic $x-$rays $(Q) \ E \propto (Z-1)^2$ $(2)$ electrostatic part of the nuclear binding energy for stable nuclei with mass numbers in the range $30$ to $170$ $(R) \ E \propto Z(Z-1)$ $(3)$ energy of continuous $x-$rays $(S) \ E$ is practically independent of $Z$ $(4)$ average nuclear binding energy per nucleon for stable nuclei with mass number in the range $30$ to $170$ $(5)$ energy of radiation due to electronic transitions from hydrogen-like atoms
| List-$I$ | List-$II$ |
| $(P) \ E \propto Z^2$ | $(1)$ energy of characteristic $x-$rays |
| $(Q) \ E \propto (Z-1)^2$ | $(2)$ electrostatic part of the nuclear binding energy for stable nuclei with mass numbers in the range $30$ to $170$ |
| $(R) \ E \propto Z(Z-1)$ | $(3)$ energy of continuous $x-$rays |
| $(S) \ E$ is practically independent of $Z$ | $(4)$ average nuclear binding energy per nucleon for stable nuclei with mass number in the range $30$ to $170$ |
| $(5)$ energy of radiation due to electronic transitions from hydrogen-like atoms |
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