The intensity distribution of X-rays from two Coolidge tubes operated at different voltages `V_(1)` and `V_(2)` and using different target materials of atomic numbers `Z_(1)` and `Z_(2)` 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

`lamda_("min")=(hc)/(eV)implies lamdaprop1/V`
`lamda_2gtlamda_1impliesV_1V_2`
`f=a(Z-b)^2implies f prop (Z-1)^2`
`lamda prop 1/((Z-1)^2) , lamda_1 gt lamda_2 implies Z_2 gt Z_1`