# X - rays are produced in an X - ray tube by a target potential of 62.0 kV. If an electron looses one halfof its incoming energy after one collision the minimum wavelength of the X - ray photon...

X - rays are produced in an X - ray tube by a target potential of 62.0 kV. If an electron looses one half
of its incoming energy after one collision the minimum wavelength of the X - ray photon produced is
(hc = 1240 eVnm)

(1) 4 × 10−2 nm

(2) 6 × 10−2 nm

(3) 8 × 10−2 nm

(4) 4 × 10−3 nm

(5) 8 × 10−3 nm

sciencesolve | Teacher | (Level 3) Educator Emeritus

Posted on

You may evaluate the shortest wavelength produced, using the following equation:

`lambda_0 = (hc)/(e*V)`

The problem provides `hc = 1240 eVnm` and the energy of `(1/2)*62KV = 31 KV` , such that:

`lambda_0 = (1240)/(31*10^3)`

`lambda_0 = 40*10^(-3) => lambda_0 = 4*10*10^(-3) => lambda_0 = 4*10^(1-3) => lambda_0 = 4*10^(-2) nm`

Hence, evaluating the shortest wavelength produced, yields `lambda_0 = 4*10^(-2)` nm, hence, you need to select the first answer.