GENERAL KNOWLEDGE

A RADIOACTIVE SUBSTANCE HAS A HALF-LIFE OF 3.8 DAYS, CALCULATE ITS DECAY CONSTANT.

To calculate the decay constant of a radioactive substance, we can use the equation:

λ = ln(2) / t½

Where: λ is the decay constant, ln is the natural logarithm function, 2 is the constant representing the ratio of the initial quantity to the remaining quantity after one half-life, and is the half-life of the substance.

In this case, the half-life is given as 3.8 days. Plugging this value into the equation, we can calculate the decay constant:

λ = ln(2) / 3.8

Calculating this expression yields:

λ ≈ 0.182

Therefore, the decay constant of the radioactive substance is approximately 0.182.

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