The half-life period of a radioactive element x is same as the mean life time of another radioactive element y. Initially, both of them have the same number of atoms. Then, (a) x and y have the same decay rate initially (b) x and y decay at the same rate always (c) y will decay at a faster rate than x (d) x will decay at a faster rate than y
A
`X and Y` decay at same rate always
B
`X` will decay faster then`Y`
C
`Y` will decay faster then`X`
D
`X and Y` have same rate initially
Text Solution
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The correct Answer is:
C
According to question , Half life of `X , T_(1//2) = tau_(a v) ` everage life of `Y` rArr (0.693)/(lambda_(X)) = (1)/(lambda_(Y))rArr lambda_(X) = (0.693) lambda_(Y)` Now the rate of decay is given by `(dN)/(dt) = lambda N` `:. gamma ` will decay faster than X [:. N is some]`
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