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A sample contains 10 mg of radioactive m...

A sample contains 10 mg of radioactive material of half life 270 days. The mass of remaining radioactive material after 540 days will be

A

2.5 mg

B

5 mg

C

10 mg

D

15 mg

Text Solution

Verified by Experts

The correct Answer is:
A
`n=t/T=540/270 =2`
Mass of radioactive element left after time t is given by,
`M/M_(0)=(1/2)^(n)=(1/2)^(2)=1/4`
`:. M=M_(0)/4=10/4`
`=2.5` mg
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