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← JEE Main 2022 · 28 Jun · Shift 2
ChemistryInteger+4 / -1Question 85 of 90

JEE Main 2022 · 28 Jun · Shift 2, Chemistry question 85

A radioactive element has a half life of 200 days. The percentage of original activity remaining after 83 days is ______. (Nearest integer)

(Given : antilog 0.125 = 1.333, antilog 0.693 = 4.93)

Answer and worked solution

Official answer: 75

Fraction left. 2−83/200=10−0.125=11.333≈0.752^{-83/200}=10^{-0.125}=\frac1{1.333}\approx0.75.

Answer: 75