PHYSICS

JAMB 2016 - Question 32

Physics 2016 JAMB Past Questions - Question 32: A radioactive sample initially contains N atoms . After three half-lives the number of atoms that have disintegrated is

Choose the correct answers from the options given.
A radioactive sample initially contains N atoms . After three half-lives the number of atoms that have disintegrated is
A:
B:
C:
D:
Examkits App

Examkit's JAMB CBT App

Practice JAMB offline with our Online, PC and Mobile App

  • ✅ 25+ years of past questions (2000 to 2025)
  • ✅ Video solutions and explanation to questions
  • ✅ E-library
  • ✅ Study by topic
  • ✅ And more.

Correct Answer

D

Explanation

After three half-lives, the number of atoms that have disintegrated can be calculated using the formula:

Number of atoms disintegrated = N * (1/2)^(number of half-lives)

Since you mentioned that the initial sample contains N atoms and three half-lives have passed, the number of atoms that have disintegrated would be:

Number of atoms disintegrated = N * (1/2)^3 = N * (1/8) = N/8

Therefore, after three half-lives, the number of atoms that have disintegrated is N/8.