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Standard XII

Chemistry

Arrhenius Equation

The relation ...

Question

The relation between the half life $t$ of a radioactive sample and its mean life $T$ is :

t = 0.693 T

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T = 0.693 t

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t = T

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t = 2.718 T

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Solution

The correct option is A $t = 0.693 T$
$t = 0.693 T$
Mathematically
Half life = mean life $\times$ ln(2)
= mean life $\times$ 0.693
$t = 0.693 T$

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The relation between the half life t of a radioactive sample and its mean life T is :

The correct option is A t=0.693Tt=0.693TMathematicallyHalf life = mean life × ln(2) = mean life× 0.693t=0.693T

The relation between the half life $t$ of a radioactive sample and its mean life $T$ is :

The correct option is A $t = 0.693 T$
$t = 0.693 T$
Mathematically
Half life = mean life $\times$ ln(2)
= mean life $\times$ 0.693
$t = 0.693 T$