Join the Most Relevant JEE Main 2025 Test Series & get 99+ percentile! Join Now
Search any question & find its solution
Question: Answered & Verified by Expert

A nucleus of mass M+Δm is at rest and decays into two daughter nuclei of equal mass M2 each. Speed of light is c.

The speed of daughter nuclei is

PhysicsNuclear PhysicsJEE Main
Options:
  • A cΔmM+Δm
  • B cΔmM+Δm
  • C c2ΔmM
  • D cΔmM
Solution:
2793 Upvotes Verified Answer
The correct answer is: c2ΔmM
The decrease in mass Δm will appear as the kinetic energy of the two daughter nuclei. Since the two nuclei formed are of equal masses, they will share the available energy equally among themselves. If v is the speed of a daughter nucleus, then 12M2v2=12Δmc2

or v= c2ΔmM

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.