A radiioactive element `X`, decays by the sequence and with half-lives, given below:
`X["Half-life" = 30 "min"] overset(lambda_(1))(rarr) Y + alpha`
`Y["Half-life" = 2 "day"] overset(lambda_(2))(rarr) Z + 2beta`
Which of the follwing statements is correct?

Options

A. Disinetration constant `lambda_(2) gt lambda_(1)`
B. Atomic number of `X` and `Z` are same.
C. The mass numner of `X` and `Z` are same
D. `Y` and `Z` are isotopes.

Answer

`(b)`

Explanation

For `X: t_(1//2) = 30` min, `:. lambda_(1) = (0.693)/(30)`
For `Y: t_(1//2) = 2xx24xx60, :. lambda_(2) = (0.693)/(2xx24xx60)`
Thus `lambda_(1) gt lambda_(2)`
Also emission of one `alpha` and `2beta` give rise to the formation of isotope, i.e, `X` and `Z` have same at no.