JIPMER2017PhysicsNuclear Physics
The half-life period of a radioactive element X is same as the mean life of another radioactive element Y . Initially, both of them have the same numbers of atoms then,
Options
- AX and Y have the same decay rate initially.
- BX and Y decay at the same rate always
- CY will decay at a faster rate than X
- DX will decay at a faster rate than Y
Correct answer
C. Y will decay at a faster rate than X
Step-by-step solution
Half life of x= mean life of y Let _x and _y be decay constants of x and y , then condition (1) implies aligned 0.693 _x & = 1 _y _y & = _x 0.693 _y _x aligned As rate of decay ; hence decay of y will be faster than that of x .