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JEE Main 2007 (AIEEE) · Mass Defect & Binding Energy

Mass Defect & Binding Energy question from JEE Main 2007 (AIEEE)

Q26JEE Main 2007 · AIEEEEasy

Mass Defect & Binding Energy

If MOM_O is the mass of an oxygen isotope 8O17,Mp{}_{8}O^{17}, M_p and MNM_N are the masses of a proton and neutron respectively, the nuclear binding energy of the isotope is

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Answer: (c)

  1. 8O17{}_{8}O^{17} has 8 protons and 17−8=917 - 8 = 9 neutrons.
  2. Mass defect Δm=8MP+9MN−MO\Delta m = 8M_P + 9M_N - M_O; binding energy =Δm c2= \Delta m\, c^2.
  3. Option (c) (MO−8MP−9MN)c2(M_O - 8M_P - 9M_N)c^2 has the same magnitude.
  4. So the answer is (c).
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