What is the wavelength of an X-ray photon with energy 6.0 (6000 )? (Hint: 1 = 1.60 10-19 joule.)?
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To find the wavelength of an X-ray photon with a given energy, you can use the equation relating energy (E) and wavelength (λ) of a photon:
E = hc/λ
Where:
- E is the energy of the photon
- h is Planck's constant (6.626 x 10^-34 J·s)
- c is the speed of light (3.00 x 10^8 m/s)
- λ is the wavelength of the photon
To solve for the wavelength (λ), rearrange the equation:
λ = hc/E
Given that the energy of the X-ray photon is 6.0 keV (or 6.0 x 10^-15 J), substituting the values:
λ = (6.626 x 10^-34 J·s * 3.00 x 10^8 m/s) / (6.0 x 10^-15 J)
Performing the calculation:
λ = 1.10 x 10^-9 meters
Therefore, the wavelength of the X-ray photon is approximately 1.10 x 10^-9 meters.