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Question

What do you mean by mass defect? Actual mass of proton, neutron and helium nucleus are 1.00728 amu, 1.00867 amu and 4.0015 amu, respectively. What is the mass defect of ⁴₂He (helium) nucleus? [1+2]

WBBSE Class X Physical Science Atomic Nucleus 03 Mark 2025

Answer

Mass Defect : Mass defect is the difference between the sum of the masses of the individual nucleons (protons and neutrons) and the actual mass of the nucleus.

Given,

Mass of one proton = 1.00728 amu

Mass of one neutron = 1.00867 amu

Mass of helium nucleus = 4.0015 amu

A helium nucleus contains: 2 protons and 2 neutrons

Mass of 2 protons = 2 × 1.00728 = 2.01456 amu

Mass of 2 neutrons = 2 × 1.00867 = 2.01734 amu

Total mass of nucleons

= 2.01456 + 2.01734

= 4.03190 amu

Mass defect = Total mass of nucleons − Actual mass of nucleus

= 4.03190 − 4.00150

= 0.03040 amu

Hence, the mass defect of the helium nucleus is 0.0304 amu.

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