Question

Two radioactive substances and have decay constants and respectively. At , they have the same number of nuclei. The ratio of number of nuclei of to those of will be after a time:聽

A

B

C

D

Hard
AIIMS
Updated on : 2022-09-05
Solution
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Correct option is C)

Given : 聽
Using : 聽 聽 聽where, is the decay constant
聽 聽

For substance A :
聽 .............(1)

For substance B : 聽
聽.............(2)

Subtracting (2) from (1) we get: 聽 聽 聽 聽

聽 聽 聽 聽 聽 聽 聽 聽
聽聽

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