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Question

Question: 10 gm of radioactive material of half-life 15 year is kept in store for 20 years. The disintegrated ...

10 gm of radioactive material of half-life 15 year is kept in store for 20 years. The disintegrated material is.

A

12.5 g

B

10.5 g

C

6.03 g

D

4.03 g

Answer

6.03 g

Explanation

Solution

Remaining material N=N02t/TN = \frac{N_{0}}{2^{t/T}}

N=10(2)20/15=102.15=3.966mugm\Rightarrow N = \frac{10}{(2)^{20/15}} = \frac{10}{2.15} = 3.96\mspace{6mu} gm

So decayed material

=103.96=6.046mugm= 10 - 3.96 = 6.04\mspace{6mu} gm