1. Convert Wavelength to Meters:
* 1 Ångstrom (Å) = 1 x 10⁻¹⁰ meters
* Therefore, 2.32 Å = 2.32 x 10⁻¹⁰ meters
2. Calculate Frequency (f):
* Use the speed of light (c) equation: c = fλ
* Where:
* c = speed of light (3 x 10⁸ m/s)
* f = frequency (Hz)
* λ = wavelength (m)
* Rearrange the equation to solve for frequency: f = c / λ
* Substitute the values: f = (3 x 10⁸ m/s) / (2.32 x 10⁻¹⁰ m)
* Calculate: f ≈ 1.29 x 10¹⁸ Hz
3. Calculate Energy (E):
* Use Planck's equation: E = hf
* Where:
* E = energy (Joules)
* h = Planck's constant (6.626 x 10⁻³⁴ J·s)
* f = frequency (Hz)
* Substitute the values: E = (6.626 x 10⁻³⁴ J·s) * (1.29 x 10¹⁸ Hz)
* Calculate: E ≈ 8.55 x 10⁻¹⁶ Joules
Therefore:
* The frequency of the X-ray photon is approximately 1.29 x 10¹⁸ Hz.
* The energy of the X-ray photon is approximately 8.55 x 10⁻¹⁶ Joules.
