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Question: Answered & Verified by Expert
A radioactive substance X decays into another radioactive substance Y. Initially only X was present. λx and λy are the disintegration constants of X and Y. Nx and Ny are the number of nuclei of X and Y at any time t. Number of nuclei Ny will be maximum when:
PhysicsNuclear PhysicsNEET
Options:
  • A NyNx-Ny=λyλx-λy
  • B NxNx-Ny=λxλx-λy
  • C λyNy=λxNx
  • D λyNx=λxNy
Solution:
1846 Upvotes Verified Answer
The correct answer is: λyNy=λxNx
Net rate of formation of Y at any time t is:

dNydt=λxNx-λyNy

Ny is maximum when dNydt=0

or λyNy=λxNx

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