This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
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Here is a quantum question: Calculate the energy of a photon of green light with a wavelength of 550 nm. • Planck's constant (h) = 6.626 × 10^-34 J·s • Speed of light (c) = 3.00 × 10^8 m/s Step 1: Identify the given values and constants. • Wavelength () = 550 nm • Planck's constant (h) = 6.626 × 10^-34 J·s • Speed of light (c) = 3.00 × 10^8 m/s Step 2: Convert the wavelength from nanometers to meters. 1 nm = 10^-9 m = 550 nm × 10^-9 m1 nm = 5.50 × 10^-7 m Step 3: Calculate the frequency (f) of the photon using the relationship between speed of light, wavelength, and frequency. The formula is c = f. Rearrange to solve for f: f = (c)/() Substitute the values: f = 3.00 × 10^8 m/s5.50 × 10^-7 m f ≈ 5.4545 × 10^14 Hz Step 4: Calculate the energy (E) of the photon using Planck's equation. The formula is E = hf. Substitute the values: E = (6.626 × 10^-34 J·s) × (5.4545 × 10^14 Hz) E ≈ 3.61 × 10^-19 J The energy of the photon is 3.61 × 10^-19 J.