The tapetum lucidem of many nocturnal animals is a layer of cells immediately be

Question

The tapetum lucidem of many nocturnal animals is a layer of cells immediately behind the retinal cells which reflects light back into the eye increasing the sensitivity of the eye, especially at night. Consider the eyeball to be filled with aqueous humor with an index of refraction of 1.333. Consider the tapetum lucidem layer to have an index of refraction of 1.500. Calculate the minimum thickness of the tapetum lucidem layer which will produce constructive interference for green light of 510 nm in air. You may assume that there is no phase inversion at the back edge of the tapetum lucidem layer.

Calculate the wavelength of light that produces a distance of 1.86 m between the central maximum and the fifth order bright spot if the diffraction grating has 300 lines/mm and the distance to the screen is 1.64 m (You may not use the small angle approximation for this problem).

Explanation / Answer

here the condition is (m+ 0.5) L = 2 n t

t being thickness = ?

so t = (m+0.5)L/2n

t = (3+0.5) * 510 *10^-9/(2 *1.33)

t = 671 nm

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