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Solubility Product

If TH is th...

Question

If $T_{H}$ is the half-life and $T_{M}$ is the mean life. Which of the following statement is correct

A

T_{M} > T_{H}

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B

T_{M} < T_{H}

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C

both are directly proportional to square of the decay constant

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D

T_{M} \propto λ_{0}

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Solution

The correct option is A $T_{M} > T_{H}$
As given in the passage, mean life time is always greater than half life.
Because, $M e a n l i f e = \frac{H a l f l i f e}{ln 2}$
Mean life is the inverse of decay constant, the average survival time.

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