In a nuclear fission reaction of an isotope of mass M , three similar daughter nuclei of same mass are formed. The speed of a daughter nuclei in terms of mass defect Δ M will be :

Step-by-step solution

Let the reaction be, ( P ) → ( X ) + ( Y ) + ( Z ) Let mass of each daughter nuclei be m , then mass defect can be written as ∆ M = M - 3 m . Now the energy released will be in the form of kinetic energy of the daughter nuclei. Therefore, Δ M c 2 = 1 2 m V 2 + 1 2 m V 2 + 1 2 m V 2 ⇒ V = 2 Δ M c 2 3 m = 2 Δ M c 2 M - ∆ M ≈ c 2 Δ M M