Using the constants given below:
speed of light in vacuum (c) `3.0 xx 10^8 ms^(-1)` Planck.s constant (h) `=6.6 xx 10^(-4)Js` Charge of a proton (e) `=1.6 xx 10^(-1)^@C,` find the minimum wavelength of the emitted X rays, when an X ray tube is operated at 50 kV.

Explanation

To find the minimum wavelength of the emitted X-rays when an X-ray tube is operated at 50 kV, we can use the relationship between energy and wavelength. The energy of the emitted X-rays can be calculated using the operating voltage of the X-ray tube.

### Step-by-Step Solution:

1. **Identify the Given Values:**
- Speed of light in vacuum, \( c = 3.0 \times 10^8 \, \text{m/s} \)
- Planck's constant, \( h = 6.6 \times 10^{-34} \, \text{Js} \)
- Charge of a proton, \( e = 1.6 \times 10^{-19} \, \text{C} \)
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