Home Physics Atomic and Nuclear Physics JEE Main 2023 - ( Nuclear Physics ) The half-life of a radioactive nucleus is 5 …
Physics Atomic and Nuclear Physics JEE Main 2023 - ( Nuclear Physics ) MCQ (Single Correct)

The half-life of a radioactive nucleus is 5 years. The fraction of the original sample that would decay in 15 years is:

A
B
C
D

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The correct answer is:
C

The formula to calculate the number of half lives covered by the radioactive material is given by

...(i)

Substitute the values of the known parameters into equation (i) to calculate the number of half lives covered.

The relation between the amount of radioactive substance after certain time can be written as

N = N 0 2 -n ...(ii)

Substitute the value of n into equation (ii) to obtain the fraction of the remaining substance.

Hence, the amount of the decayed substance can be written as

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