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What is mass defect ?

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What is mass defect ?

Posted by Student Of The Year 4 years, 9 months ago

CBSE > Class 12 > Physics

1 answers

Gaurav Seth 4 years, 9 months ago

Mass defect:-
- Mass defect is the difference in the mass of nucleus and its constituents(neutrons and protons).
- It is denoted by ΔM.
- Mathematically :- ΔM = [Z m_p+ (A-Z) m_n]- M
  - Where m_p=mass of 1 proton, Z=number of protons,(A-Z)= mass of neutrons, m_N = mass of 1 neutronand M =nuclearmass of the atom.
- For example: -(¹⁶₈O)àOxygen atom has 8 protons and 8 neutrons.
- Mass of 8 protons à (8x1.00866) u and Mass of 8 neutrons à(8x1.00727) u.
- Therefore Oxygen nucleus à(8p+8n) à8(1.00866 + 1.00727) = 16.12744u.
- From spectroscopy ->Atomic mass of (¹⁶₈O) =15.9949u.
- Mass of 8 electrons =(8x0.00055) u.
- Therefore Nuclear mass of (¹⁶₈O) = (15.9949 – (8x0.00055)) =15.99053u.
- Nuclear mass is less than sum of the masses of its constituents.
- This difference in mass is known as mass defect.
- It is also known as excess mass.

ANSWER

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