Numerical's Solution | Nuclear Physics

2076 A / 2060 S

Calculate the binding energy per nucleon of $_{26}{Fe}^{56}$. Atomic mass of $_{26}{Fe}^{56}$ is $55.9349 \;u$ and that of $_1H^1$ is $1.00783\;u$. Mass of $_0 n^1 = 1.00867\;u$ and $1u = 931\;MeV$. [Click here for Solution]

2076 C

Calculate the binding energy per nucleon of calcium nucleus $(_{20}{Ca}^{40})$.

Given, Mass of $_{20}{Ca}^{40} = 39.962589\;u$;   Mass of neutron $m_n = 1.008665\;u$;  Mass of proton $m_p = 1.007825\;u$;       $1\;u = 931\;MeV$.  [Click here for Solution]

2075 A

A city requires $10^7 watts$ of electrical power on the average. If this is to be supplied by a nuclear reactor of efficiency $20\; \%$. Using $_{92}{U}^{235}$ as the fuel source, calculate the amount of fuel required per day (Energy released per fission $_{92}{U}^{235} = 200\;MeV$).  [Click here for Solution]

2075 B / 2067 B

A nucleus of $_{92}U^{238}$ disintegration according to   $_{92}{U}^{238} \; \rightarrow\;\; _{90}{Th}^{234} \; + \; \;  _{2}{He}^{4}$. Calculate,

(i) the total energy released in the disintegration process.

(ii) the K.E. of the $\alpha - particle$, the nucleus at rest before disintegration.

Given, Mass of $_{92}U^{238} = 3.859 * 10^{-25}\;kg;$   Mass of $_{90}{Th}^{234} = 3.787 * 10^{-25}\;kg$;  Mass of $_{2}{He}^{4} = 6.648 * 10^{-27}\;kg$.  [Click here for Solution]

2074 B

The mass of $_{17}{Cl}^{35}$ is $34.9800\,amu$. Calculate its binding energy and binding energy per nucleon. Mass of one proton = $1.007825\;amu$ and mass of one neutron = $1.008665 \; amu$.  [Click here for Solution]

2073 S / 2072 D / 2068 A / 2064

The energy liberated in the fission of a single uranium-235 atom is $3.2 * 10^{-11}\;J$. Calculate the power production corresponding to the fission of $1\;gm$ of uranium per day. Assume Avogadro constant as $6 * 10^{23}\;mol^{-1}$.  [Click here for Solution]

2073 D

What will be the amount of energy released in the fusion of three alpha particles into a $C^{12}$ nucleus if mass of $He^{4}$ and $C^{12}$ nuclei are respectively $4.00263\;amu$ and $12\;amu$. [Click here for Solution]

2072 S / 2069 B

The mass of the nucleus of the isotope Lithium $_3{Li}^7$ is $7.014351\;u$. Find its binding energy and binding energy per nucleon. (Given mass of proton = $1.00727\;u$;  Mass of neutron = $1.008665 \;u$). [Click here for Solution]

2072 E

$_{28}{Ni}^{62}$ may be described as the most strongly bound nucleus because it has the highest B.E. per nucleon. Its neutral atomic mass is $61.928349$ amu. Find its mass defect, its total binding energy and binding energy per nucleon.

Given, Mass of neutron $= 1.008665\;amu$;   Mass of proton $= 1.007825\;amu$;   $1\;amu = 931.5 \; MeV$. [Click here for Solution]

2071 C / 2068 (Cancel)

The energy released by the fission of one $U^{235}$ atom is $200\;MeV$. Calculate the energy released in Kwh, when one gram of uranium undergoes fission. [Click here for Solution]

2071 D

Calculate the binding energy per nucleon for a helium nucleus. Given that mass of helium nucleus = $4.001509\;amu$, mass of proton = $1.007277\;amu$ and mass of neutron = $1.008666\;amu$. [Click here for Solution]

2070 S

The most common isotope of uranium $_{92}U^{238},$ has atomic $238.050783\;u$. Calculate,

a) Mass defect;  b) Binding Energy;   c) Binding energy per nucleon.

(Mass of proton $= 1.007825 \; u$, Mass of neutron $= 1.008665\;u$)  [Click here for Solution]

2069 B

Estimate the binding energy per nucleon of $_3{Li}^7$. Mass of $_3{Li}^7$ a proton and a neutron are respectively $7.01435\;amu$, $1.00728\;amu$ and $1.00876\;amu$.  [Click here for Solution]

2068 Old

Assume that about $200\;MeV$ energy is released per fission of $_{92}{U}^{235}$ nuclei, what would be the mass of $U^{235}$ consumed per day in the fission of power $1\;Mw$ approximately.  [Click here for Solution]

2054

The energy liberated in the fission of a single uranium - 235 atom is $3.2 * 10^{-11}\;J$. Calculate the power production corresponding to the fission of $1\;kg$ of uranium per day.  [Click here for Solution]

2052

Calculate the Q-value of the reaction and mention the type of reaction (endo-thermic or exo-thermic)

$_2{He}^{4} = 4.00377\;amu$             $_8{O}^{17} = 17.00450\;amu$

$_7{N}^{14} = 14.00738\;amu$           $_1{H}^{1} = 1.00814\;amu$    [Click here for Solution]

2052

Calculate the speed  of practice of the mass of it is equal to $5$ times its rest value.  [Click here for Solution]

Return to Main Menu