Final answer:
The shortest wavelength of X-rays produced in an X-ray tube can be calculated using the formula λ = hc / eV, where λ is the wavelength, h is the Planck's constant, c is the speed of light, and eV is the acceleration voltage of the X-ray tube. By plugging in the given values, we find that the shortest wavelength of the X-rays produced in the tube is 1.24 x 10⁻¹⁰ meters.
Step-by-step explanation:
The shortest wavelength of X-rays produced in an X-ray tube can be calculated using the formula:
λ = hc / eV
Where λ is the wavelength, h is the Planck's constant, c is the speed of light, and eV is the acceleration voltage of the X-ray tube.
Plugging in the values:
λ = (6.63 x 10⁻³⁴ J.s x 3 x 10⁸ m/s) / (1.6 x 10⁻¹⁹ C x 17.0 x 10³ V)
Calculating the value gives:
λ = 1.24 x 10⁻¹⁰ m
Therefore, the shortest wavelength of X-ray produced in the tube is 1.24 x 10⁻¹⁰ meters.