The half - line period a radioactive element `X` is same as the mean life time of another radioactive element `Y`. Initially both of them have the sam

Question

The half - line period a radioactive element `X` is same as the mean life time of another radioactive element `Y`. Initially both of them have the sam

The half - line period 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 wil decay faster than Y
B. Y will decay faster than X
C. Y and X have same decay rate initially
D. X and Y decay at same rate always

Monjur Alahi

5 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - B
Given that `(T_(1//2))_(x) = (T_(av))_(gamma)`
`rArr (0.693)/(lambda_(x)) = (1)/(lambda_(y)) rArr lambda_(y) (1)/(0.693) lambda_(x)`
`rArr lambda_(y) = 1.44 lambda_(x) rArr R_(y) = 1.44 R_(x)`
As decay rate of Y is more than the element `X_(i)` hence Y will decay faster than X.

5 views Answered 2023-02-05 15:29