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Physics

Calculate the frequency of yellow light of wavelength 550 nm. The speed of light is 3 x 108 m s-1.

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Answer

As we know,

Speed of light (c) = Frequency (f) x Wavelength (λ)

Given,

λ = 550 nm

= 550 × 10-9 m

= 0.55 x 10-6 m

C = 3 x 108 m s-1

Substituting the values in the formula, we get,

3×108=f×0.55×106f=3×1080.55×106f=5.45×1014Hz3 \times 10^8 = \text {f} \times 0.55 × 10^{-6} \\[0.5em] \text {f} = \dfrac {3 \times 10^8 }{0.55 × 10^{-6}} \\[0.5em] \Rightarrow \text {f} = 5.45 \times 10^{14} \text {Hz} \\[0.5em]

Hence, we get,

Frequency = 5.4 × 1014 Hz

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