1. Calculate the frequency (ν):
* Formula: ν = c / λ
* ν = frequency (in Hertz, Hz)
* c = speed of light (approximately 3.00 x 10⁸ m/s)
* λ = wavelength (in meters)
* Convert wavelength to meters:
* 554 nm = 554 x 10⁻⁹ m
* Calculate the frequency:
* ν = (3.00 x 10⁸ m/s) / (554 x 10⁻⁹ m)
* ν ≈ 5.41 x 10¹⁴ Hz
2. Calculate the energy of a photon (E):
* Formula: E = hν
* E = energy (in Joules, J)
* h = Planck's constant (6.626 x 10⁻³⁴ J⋅s)
* ν = frequency (in Hertz, Hz)
* Calculate the energy:
* E = (6.626 x 10⁻³⁴ J⋅s) * (5.41 x 10¹⁴ Hz)
* E ≈ 3.58 x 10⁻¹⁹ J
Therefore:
* The frequency of the light emitted by the barium atom is approximately 5.41 x 10¹⁴ Hz.
* The energy of a single photon of this light is approximately 3.58 x 10⁻¹⁹ J.
