MHT CET 2024 Mathematics question

MathematicsDifferential EquationMHT CET 2024

The decay rate of radium is proportional to the amount present at any time t. If initially 60 gms was present and half life period of radium is 1600 years, then the amount of radium present after 3200 years is

Answer: (B)

Solution

Let be the amount at time . Then , which gives with . Half-life years means , so . After years: grams, option (B). Equivalently,

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Question ID VK-093281