If the energy of a photon is 1.32 × 10^-18 J, what is its wavelength in nm? A) 1.50 × 10^-7 nm B) 150. nm C) 1.99 × 10¹⁵ nm D) 1.99 × 10²⁴ nm E) None of these choices are correct.

Question

Quizplus · Accepted Answer

The energy of a photon is given by E = hc/λ, where h is Planck's constant (6.626 × 10^-34 J·s) and c is the speed of light (3.00 × 10^8 m/s). Solving for λ gives λ = hc/E. Substituting the given energy and constants, λ = (6.626 × 10^-34 J·s)(3.00 × 10^8 m/s) / (1.32 × 10^-18 J) = 1.50 × 10^-7 m, which is 150 nm.

If the Energy of a Photon Is 1