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Question: The masses of two radioactive substances are same and their half-lives are 1 year and 2 years respec...

The masses of two radioactive substances are same and their half-lives are 1 year and 2 years respectively. The ratio of their activities after six years will be-

A

1 : 4

B

4 : 1

C

1 : 8

D

8 : 1

Answer

1 : 4

Explanation

Solution

m2=m0(12)62=m08\mathrm { m } _ { 2 } = \mathrm { m } _ { 0 } \left( \frac { 1 } { 2 } \right) ^ { \frac { 6 } { 2 } } = \frac { \mathrm { m } _ { 0 } } { 8 }