An X-ray tube operates at 10kV. Find the ratio of X-rays wavelength to that of de-broglie wavelength associated with incident electron.

Explanation

To find the ratio of the X-ray wavelength (\( \lambda_X \)) to the de Broglie wavelength (\( \lambda_B \)) associated with the incident electron in an X-ray tube operating at 10 kV, we can follow these steps:

### Step 1: Determine the energy of the incident electron
The energy of the electron accelerated through a potential difference \( V_0 \) (in this case, 10 kV) is given by:
\[ E = Q \cdot V_0 \]
where \( Q \) is the charge of the electron (\( Q = 1.6 \times 10^{-19} \) C) and \( V_0 = 10 \times 10^3 \) V.
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