White light is incident normally on a glass plate of thickness $0.50 \times 10^{- 6}$ and index of refraction 1.50. Which wavelength in the visible region (400 nm-700 nm) are strongly reflected by the plate?

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Solution

For strong reflection, there should be constructive interference.

Path difference $= Δ x = 2 μ t = n λ$

$⟹ λ = \frac{2 μ t}{n} = \frac{2 \times 5 \times 10^{- 7} \times 1.5}{n}$

$⟹ λ = \frac{1500 n m}{n}$

Hence, $λ = 500$ for $n = 3$

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White light is incident normally on a glass plate of thickness 0.50×10−6 and index of refraction 1.50. Which wavelength in the visible region (400 nm-700 nm) are strongly reflected by the plate?

For strong reflection, there should be constructive interference.Path difference=Δx=2μt=nλ⟹λ=2μtn=2×5×10−7×1.5n⟹λ=1500nmnHence, λ=500 for n=3

White light is incident normally on a glass plate of thickness $0.50 \times 10^{- 6}$ and index of refraction 1.50. Which wavelength in the visible region (400 nm-700 nm) are strongly reflected by the plate?

For strong reflection, there should be constructive interference.

Path difference $= Δ x = 2 μ t = n λ$

$⟹ λ = \frac{2 μ t}{n} = \frac{2 \times 5 \times 10^{- 7} \times 1.5}{n}$

$⟹ λ = \frac{1500 n m}{n}$

Hence, $λ = 500$ for $n = 3$