A screen is illuminated by monochromatic light as shown in the figure below. The

Question

A screen is illuminated by monochromatic light as shown in the figure below. The distance from the slits to the screen is Using the small angle approximation ( theta = sin theta = tan theta ), what is the wave length if the distance from the central bright region to the second bright fringe is y. lambda = 2 / 3 Ly / d lambda = 1 / 2 dL / y lambda = 1 / 2 dy / L lambda = 2 / 3 dL / y None of these. lambda = 1 / 3 dL / y lambda = 1 / 2 Ly / d lambda = 1 / 3 Ly / d lambda = 2 / 3 dy / L lambda = 1 / 3 dy / L

Explanation / Answer

use

m * wavelength = d y / L or

2 * wavelength = d y / L

so

wavelength = d y / 2 L which is answer #3

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