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Question

Question: If the radioactive decay constant of radium is \(1.07 \times 10^{- 4}\)per year, then its half life ...

If the radioactive decay constant of radium is 1.07×1041.07 \times 10^{- 4}per year, then its half life period is approximately equal to.

A

8,900 years

B

7,000 years

C

6,476 years

D

2,520 years

Answer

6,476 years

Explanation

Solution

Half-life T1/2=0.693λ=0.6931.07×104=64766muyearsT_{1/2} = \frac{0.693}{\lambda} = \frac{0.693}{1.07 \times 10^{- 4}} = 6476\mspace{6mu} years