The mass of proton, neutron and helium nucleus are respectively 1 . 0073   u ,   1 . 0087   u…

The mass of proton, neutron and helium nucleus are respectively 1.0073 u, 1.0087 u and 4.0015u. The binding energy of helium nucleus is:
  1. 14.2 MeV
  2. 28.4 MeV
  3. 56.8 MeV
  4. 7.1 MeV

Solution

Given here,  mHe=4.0015 u, mp=1.0073 u and mn=1.0087 u.

Mass defect

 ∆m = 2mp+2mn-mHe=2×1.0073+2×1.0087-4.0015=0.0305 u

Binding energy 

E = ∆m×931 MeV=0.0305×931=28.4 MeV

Asked in: JEE Main 2023 (01 Feb Shift 1)

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