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Question: The mass of proton is \(1.0073u\) and that of neutron is \(1.0087u\) (u = atomic mass unit) The bind...

The mass of proton is 1.0073u1.0073u and that of neutron is 1.0087u1.0087u (u = atomic mass unit) The binding energy of 24{}_{2}^{4} He, if mass of 24{}_{2}^{4}he is 4.00154.0015u

A

0.0305erg0.0305erg

B

0.0305J0.0305J

C

28.4MeV28.4MeV

D

0.061u0.061u

Answer

28.4MeV28.4MeV

Explanation

Solution

: Δm=2mp+2mnm(24He)\Delta m = 2m_{p} + 2m_{n} - m(_{2}^{4}He)

=2×1.0073+2×1.00874.0015=0.0305u= 2 \times 1.0073 + 2 \times 1.0087 - 4.0015 = 0.0305u

Binding energy

=0.0305×931MeV=28.4MeV= 0.0305 \times 931 ⥂ MeV = 28.4MeV