A sodium street light gives yellow light that has a wavelength of 5000 A. Then find frequency and wave number of the light
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Explanation:
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Answer:
Given:
Wavelength of the sodium street light, λ = 5000
= 5000 × 10⁻¹⁰ m
= 5 × 10⁻⁷ m
Find:
The frequency and wave number of the light.
Solution:
As we know, λ = c/ν
where λ = wavelength of light
c = velocity of light = 3 × 10⁸ m/s
ν = frequency of light
Now, we have
ν = c/λ
ν = (3 × 10⁸) / (5 × 10⁻⁷)
ν = 0.6 × 10⁸⁺⁷ = 0.6 × 10¹⁵ s⁻¹
∴ Frequency = ν = 0.6 × 10¹⁵ s⁻¹
Now, wave number, 1/λ = 1/((5 × 10⁻⁷)
= 0.2 × 10⁷ m⁻¹
Hence, Frequency = ν = 0.6 × 10¹⁵ s⁻¹
Wave number = 1/λ = 0.2 × 10⁷ m⁻¹
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