Verified Solution • 2025–26 Session moderate

QAIPMT-2007-Ph-2341: NEET 2007 Physics - Class 12 AIPMT-2007-Ph-2341 Solution: Two radioactive substances A and B have decay constants \(5 \)…

Two radioactive substances A and B have decay constants 5λ5\lambda and λ\lambda respectively. At t = 0 they have the same number of nuclei. The ratio of number of nuclei of A to those of B will be (1/e)2(1/e)^2 after a time interval

Multiple Choice Options

  • A 4λ4\lambda
  • B 2λ2\lambda
  • C 1/2λ1/2\lambda
  • D 1/4λ1/4\lambda

Step-by-Step Verified Solution

N A = N 0 e �5 _ t N B = N 0 e � _ t Given N A N B = ( 1 e ) 2 _ N 0 e _ 5 _ t N 0 e _ _ t = ( 1 e ) 2 _ e �4 _ t = e -2 _ t = 1 2 _

Related Learning Resources & Exam Preparation