JEE Main 2024PhysicsNuclear PhysicsEasyMCQ

JEE Main 2024 — Nuclear Physics Question with Solution

JEE Main 2024 (30 Jan Shift 2)

Question

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 ΔM will be :

Choose an option

Show full solutionCorrect option: C
Correct answer
Cc2ΔMM

Step-by-step explanation

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-3m.

Now the energy released will be in the form of kinetic energy of the daughter nuclei. Therefore, 

ΔMc2=12mV2+12mV2+12mV2⇒V=2ΔMc23m=2ΔMc2M-∆M≈c2ΔMM

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About this question

This is a previous-year question from JEE Main 2024, covering the Nuclear Physics chapter of Physics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.