Question

One isotope of holmium, 162Ho, has a half-life of 22 minutes. The half-life of a second isotope, 164Ho, is 37 minutes. Starting with a sample containing equal amounts, find the ratio of the amounts of 162Ho to 164Ho after one hour.

Answer 1

Let equal amount of both isotope is = x

Half life of = 22 minutes.

Half life of = 34 minutes

In one hour minutes = 60 minutes.

Numbe of half lives of

Numbe of half lives of

Amount remaining after 1 hour of

Amount remaining after 1 hour of

So required ratio is: