Ques. 1JEE Main 2024, 29 January (Evening Shift)
The half-life of radioisotope bromine - 82 is 36 hours. The fraction which remains after one day is 10-2. (Given antilog 0.2006 = 1.587)
Answer
63
Solution
Radioactive decay is first order: k = 0.693t1/2 = 0.69336 h-1
N0N = kt2.303 = 0.693 2436 2.303 = 0.2006 (t = 1 day = 24 h)
⇒ N0N = antilog 0.2006 = 1.587
∴ NN0 = 11.587 = 0.63 = 63 × 10-2
Answer: 63