The binding energies per nucleon for a deuteron and  α-particle are x1 and x2 respectively. What will be the energy Q released in the reaction 1H2 + 1H2 → 2He4 + Q

Q: The binding energies per nucleon for a deuteron and  α-particle are x₁ and x₂ respectively. What will be the energy Q released in the reaction ₁H² + ₁H² → ₂He⁴ + Q

(a) 4 (x₁ + x₂ )

(b) 4(x₂ – x₁ )

(c) 2 (x₁ + x₂ )

(d) 2(x₂ – x₁ )

Ans : (b)

Sob: ₁H² + ₁H² → ₂He⁴ + Q

Q – value = 4x₂ – 4x₁ = 4(x₂ – x₁ )