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Half lives for alpha and beta emission o...

Half lives for `alpha and beta` emission of a radioactive material are 16 years and 48 years respectively. When material decays giving `alpha and beta` emission
simultaneously then time in which `3/4`th of the material decays is

A

29 years

B

24 years

C

64 years

D

12 years

Text Solution

Verified by Experts

The correct Answer is:
B
Effective half life is calculated as
`(1)/(T) = (1)/(T_(1)) +(1)/(T_(2))`
`(1)/(T) = (1)/(16) +(1)/(48) rArr T = 12 ` years
Time in which `(3)/(4)` will decay is 2 half lives = 24 years.
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