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Question: Answered & Verified by Expert
A radioactive sample decays 78 times its original quantity in 15 minutes. The half-life of the sample is
PhysicsNuclear PhysicsJEE MainJEE Main 2022 (28 Jul Shift 2)
Options:
  • A 5 min
  • B 7.5 min
  • C 15 min
  • D 30 min
Solution:
2521 Upvotes Verified Answer
The correct answer is: 5 min

Remaining amount of sample is=1-78=18

Using radioactive decay law

N=N02-tT12

We have, 2tT12=N0N=N0N08=8=23

Then, tT12=3

Thus, half life of the sample is T12=5 min.

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