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

1. 25
2. 50
3. 75
4. 10

Correct answer: 50

Solution

The wavelength (λ) is calculated using the formula λ = c/ν, where c is the speed of light and ν is the frequency. Substituting c = 3 × 10¹⁷ nm/s and ν = 6 × 10¹⁵ s⁻¹, we get λ = (3 × 10¹⁷) / (6 × 10¹⁵) = 50 nm.

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