The intensity distribution of `X` - rays from two Coolidge tubes operated on different voltages `V_(1)` and `V_(2)` and using is shown in the figure . Which one of the following inequalities is true ?

Options

A. `V_(1) gt V_(2) , Z_(1) lt Z_(2)`
B. `V_(1) gt V_(2) , Z_(1) gt Z_(2)`
C. `V_(1) lt V_(2) , Z_(1) gt Z_(2)`
D. `V_(1) = V_(2) , Z_(1) lt Z_(2)`

Answer

A

Explanation

`l_(min) = (hc)/(eV) rArr lambda prop (1)/(V)`
`because lambda_(2) gt lambda_(1)` ("see graph") `rArr V_(2) gt V_(2)`
`sqrt(v) = a(Z - b)` ("Moseley' s law")`
`v mu (Z - 1)^(2) rArr lambda prop (1)/((Z - 1)^(2))` ("beacuse" v prop (1)/(lambda))`
`lambda_(1) gt lambda_(2)` ("see graph for characteristic lines") `rArr Z_(2) gt Z_(1)`.