NCERT Class XII Chapter
Nuclei
Questions With Solutions
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Question : 5
Total: 31
A given coin has a mass of 3.0 g. Calculate the nuclear energy that would be required to separate all the neutrons and protons from each other. For simplicity assume that the coin is entirely made of
Cu atoms (of mass62.92960 u).
Solution:
Let us first find the B.E. of each copper nucleus and then we can find binding energy of 300 g of
Cu
Mass of 29 protons = 29 × 1.00783 = 29.22707 u
Mass of 34 neutrons = 34 × 1.00867 = 34.29478 u
Total theoretical mass = 63.52185 u
Actual mass of Cu nucleus = 62.92960 u
Mass of defect = Theoretical mass – Actual mass = 0.59225 u
B.E. of each Cu nucleus = Δm [931.5 MeV]
= 0.59225 [931.5 MeV] = 551.385 MeV
Number of atoms in 3 g of copper
n =
× 3 or n =
= 2.8 × 10 22
Total binding energy in 3 g of copper
= 2.86 ×10 22 × 551.385 MeV = 1.6 × 10 25 MeV
So, the energy required to separate all the neutrons and protons from each other in 3 g copper coin will be 1.6 ×10 25 MeV.
Mass of 29 protons = 29 × 1.00783 = 29.22707 u
Mass of 34 neutrons = 34 × 1.00867 = 34.29478 u
Total theoretical mass = 63.52185 u
Actual mass of Cu nucleus = 62.92960 u
Mass of defect = Theoretical mass – Actual mass = 0.59225 u
B.E. of each Cu nucleus = Δm [931.5 MeV]
= 0.59225 [931.5 MeV] = 551.385 MeV
Number of atoms in 3 g of copper
n =
Total binding energy in 3 g of copper
= 2.86 ×
So, the energy required to separate all the neutrons and protons from each other in 3 g copper coin will be 1.6 ×
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