Question
Mathematics Question on Percentage
Percentage mass defect
The concept of mass defect is fundamental in nuclear physics and pertains to the difference between the mass of a nucleus and the sum of the masses of its individual nucleons (protons and neutrons). This mass difference is converted into energy, which is the binding energy of the nucleus — essentially the energy required to disassemble a nucleus into its constituent protons and neutrons. The mass defect (Δm) can be calculated using the equation:
[Deltam=(sum of masses of individual nucleons)−(actual mass of the nucleus)]
Once you have the mass defect, you can convert it into energy (E) using Einstein's mass-energy equivalence relation:
[E=Δm×c2]
where (c) is the speed of light.
To find the percentage mass defect, use:
[Percentage Mass Defect=(Total Mass of Individual NucleonsMass Defect)×100%]