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Question:

The value of Planck's constant is 6.63 x 10⁻³⁴ Js. The speed of light is 3 x 10¹⁷ nm/s. Which value is closest to the wavelength in nanometers of a quantum of light with a frequency of 6 x 10¹⁵ s⁻¹?

10

25

75

50

Solution:

v = c/λ => λ = c/v
λ = (3 x 10¹⁷ nm/s) / (6 x 10¹⁵ s⁻¹) = 50 nm