A prism of refractive index n 1 and another prism of refractive index n 2 are stuck together (as shown in the figure). n 1 and n 2 depend on λ , the wavelength of light, according to the relation n 1 = 1 . 2 + 10 . 8 × 10 - 14 λ 2 and n 2 = 1 . 45 + 1 . 8 × 10 - 14 λ 2 The wavelength for which rays incident at any angle on the interface B C pass through without bending at that interface will be ____ nm .

Question

A prism of refractive index n 1 and another prism of refractive index n 2 are stuck together (as shown in the figure). n 1 and n 2 depend on λ , the wavelength of light, according to the relation n 1 = 1 . 2 + 10 . 8 × 10 - 14 λ 2 and n 2 = 1 . 45 + 1 . 8 × 10 - 14 λ 2 The wavelength for which rays incident at any angle on the interface B C pass through without bending at that interface will be ____ nm .,

MARKS App · Accepted Answer

For no bending, n 1 = n 2 1 . 2 + 10 . 8 × 10 - 14 λ 2 = 1 . 45 + 1 . 8 × 10 - 4 λ 2 On solving, 9 × 10 - 14 = 25 λ 2 λ = 6 × 10 - 7 λ = 600 nm

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