InterviewSolution
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Two very narrow slits are spaced `1.80 mu`m apart and are placed 35.0 cm from a screen. What is the distance between the first and second dark lines of the interference pattern when the slits are illuminated with coherent light of `lambda = 550nm ?` (Hint : The angle `theta` is not small). |
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Answer» `d sin theta_1 = lambda/2 ` ` sin theta_1 = lambda/(2d) = (550 xx 10^(-9))/(2 xx 1.8 xx 10^-6)` ` :. theta_1 = 8.78^@ ` ` y_1/D = tan theta_1` ` :. Y_1 = D tan theta_1 ` `= 35 tan 8.78^@` = 5.41 cm `d sin theta_2 = (3lambda)/2` ` :. sin theta_2 = (3lambda)/(3d) = (3 xx 550 xx 10^-9)/(2xx 1.8 xx 10^-6)` ` :. theta_2 = 27.27^@` ` :. y_2 = D tan theta_2` ` = 35tan 27.27^@` = 18cm ` Deltay = y_2 - y_1 = 12.6 cm. |
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