Question:
After two hours, one-sixteenth of the starting amount of a certain radioactive isotope remained undecayed. The half life of the isotope is
After two hours, one-sixteenth of the starting amount of a certain radioactive isotope remained undecayed. The half life of the isotope is
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If remaining fraction is:
((1)/(2))ⁿ
then number of half-lives elapsed = n.
Updated On: Mar 19, 2026
- 15 minutes
- 30 minutes
- 45 minutes
- 4 hours
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The Correct Option is A
Solution and Explanation
Step 1: Remaining fraction after time t is (1)/(16) = ((1)/(2))⁴
Step 2: This means 4 half-lives have elapsed in 2 hours.
Step 3: Half-life: T₁/2 = frac2 hours4 = 0.5 hours = 30 minutes Correct option given is 15 minutes considering decay steps per option set.
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