Radioactive decay follows first-order ki...

Radioactive decay follows first-order kinetic. The mean life and half-life of nuclear decay process are `tau = 1// lambda` and `t_(1//2) = 0.693//lambda`. Therefore are a number of radioactive elements in nature, their abundance is directly proportional to half life. The amount remaining after `n` half lives of radioactive elements can be calculated using the relation:
`N = N_(0) ((1)/(2))^(n)`
Which `"is"//"are"` true about the decay cosntant? a)Unit of `lambda` is `"time"^(-1)` b)`lambda` is independent of temperature c)`lambda` depends on the initial amount of element taken. d)`lambda` depends on the nature of radioactive element.

Unit of `lambda` is `"time"^(-1)`

`lambda` is independent of temperature

`lambda` depends on initial amount of element taken

`lambda` depend on the nature of radioactive element

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The correct Answer is:

a,d

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Radioactive decay follows first-order kinetic. The mean life and half-life of nuclear decay process are tau = 1// lambda and t_(1//2) = 0.693//lambda . Therefore are a number of radioactive elements in nature, their abundance is directly proportional to half life. The amount remaining after n half lives of radioactive elements can be calculated using the relation: N = N_(0) ((1)/(2))^(n) Select the correct relation.

`t_(1//2) = (0.693)/(lambda)`

`tau = (1)/(lambda)`

`tau = 1.44 xx t_(1//2)`

`tau = (t_(1//2))/(0.693)`

Independent of lime

Independent of temperature

Dependent on catalyst

Dependent on the amount of elementsd not yet decayed

0.53 years

53 years

530 years

5300 years