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JEE Main 20231 FebruaryMorning Shift
Exam
JEE Main
Year
2023
Date
1 February
Shift
Morning Shift
Subject
Physics
Chapter
Atomic Physics

JEE Main 2023 · 1 February · Morning Shift · Physics · Atomic Physics

The mass of proton, neutron and helium nucleus are respectively 1 ....

The mass of proton, neutron and helium nucleus are respectively 1.0073u,1.0087uand4.0015u1 . 0073u, 1 . 0087uand4 . 0015u. The binding energy of helium nucleus is:

Options

  1. A14.2MeV14 . 2MeV
  2. B28.4MeV28 . 4MeV
  3. C56.8MeV56 . 8MeV
  4. D7.1MeV7 . 1MeV

Correct answer

B. 28.4MeV28 . 4MeV

Step-by-step solution

Given here, mHe=4.0015u{m}_{He} = 4 . 0015u, mp=1.0073u{m}_{p} = 1 . 0073u and mn=1.0087u{m}_{n} = 1 . 0087u.

Mass defect

∆m=2mp+2mn−mHe=2×1.0073+2×1.0087−4.0015=0.0305u∆ m = 2{m}_{p} + 2{m}_{n} - {m}_{He} = 2 \times 1 . 0073 + 2 \times 1 . 0087 - 4 . 0015 = 0 . 0305u

Binding energy

E=∆m×931MeV=0.0305×931=28.4MeVE = ∆ m \times 931MeV = 0 . 0305 \times 931 = 28 . 4MeV

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