`Deltalambda` is the difference between the wavelength of `K_(alpha)` line and the minimum wavelength of the continuous X-rays spectrum when the X-ray tube is operated at a voltage V. If the operating voltage is changed to `V/3`, the above difference is `Deltalambda`Then,

Options

A. `Deltalamda'=5Deltalamda`
B. `Deltalambda'=4Delta lamda`
C. `Deltalamda'=3Deltalamda`
D. `Deltalamda'gt3Deltalamda`

Answer

C

Explanation

From the relation `(v)/(v^('))=(Deltalamda^('))/(Deltalamda)`
`implies (v)/(v//3)=(Deltalamda^('))/(Deltalamda)`(because The operating voltage ,`v^(1)=v//3)`
`implies 3=(Deltalamda^('))/(Deltalamda)`
`thereforeDeltalamda^(')=3(Deltalamda)`