JEE Advanced2013PhysicsNuclear PhysicsActual
Paragraph: The mass of a nucleus _ Z ^ A X is less than the sum of the masses of (A-Z) number of neutrons and Z number of protons in the nucleus. The energy equivalent to the corresponding mass difference is known as the binding energy of the nucleus. A heavy nucleus of mass M can break into two light nuclei of masses m₁ and m₂ only if (m₁+m₂ ) M . Also two light nuclei of masses m₃ and m₄ can undergo complete fusion
Options
- AThe nucelus 3 6 Li can emit an alpha particle.
- BThe nucleus 84 210 Po can emit a proton.
- CDeuteron and alpha particle can undergo complete fusion.
- DThe nuclei 30 70 Zn and 34 82 Se can undergo complete fusion.
Correct answer
C. Deuteron and alpha particle can undergo complete fusion.
Step-by-step solution
(A)   3 Li 7 → 2 He 4 + 1 H 3 Δ m = M Li - M He - M H 3 = 6.01513 - 4.002603 - 3.016050 = - 1.003523 u Δ m is negative so reaction n is not possible. (B)   84 Po 210 → 83 Bi 209 + 1 P 1 Δ m is negative so reaction is not possible. (C)   1 H 2 → 2 He 4 + 3 Li 6 Δ m is positive so reaction is possible. (D)   30 Zn 70 + 34 Se 82 → 64 Gd 152 Δ m is positive so reaction is not possible.