MHT CET 2026 Mathematics question
The rate of disintegration of a radioactive element at any time is proportional to its mass at that time, where is the constant of proportionality. The time during which an original mass of 1.5 gm will disintegrate to a mass of 0.5 gm is ...
Answer: (B)
Solution
Let be the mass at time . The mass decreases at a rate proportional to : . Separating variables, , so , i.e. with . Set : ,
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