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In a Young\'s double-slit experiment, 633-nm laser light illuminates two slits s

ID: 1498329 • Letter: I

Question

In a Young's double-slit experiment, 633-nm laser light illuminates two slits separated by a distance of 3.32 x 10-5 m.

1.5/3 points | Previous Answers SerCP10 24.WU.003 In a Young's double-slit experiment, 633-nm laser light illuminates two slits separated by a distance of 3.32 × 10-5 m. (a) Find the angle at which the first order maximum occurs. 1.092 (b) If the interference pattern is displayed on a screen 1.56 m away, determine the distance from the centerline to the first order maximum. 0.0297 (c) Find also the angle at which the second-order (m 2) minimum occurs 0.546 × Your response differs from the correct answer by more than 10%. Double check your calculations. (d) Find the distance of that minimum from the centerline. Need Help? Read It

Explanation / Answer

a) For first order maximum: dsin =

=> = sin-1(/d) = sin-1[633 * 10-9 / (3.32 * 10-5)] = 1.09o

b) dy/D =

=> y = D/d = (633 * 10-9) * 1.56 / (3.32 * 10-5) = 0.03 m

c) For second order minimum: dsin = 3/2

=> = sin-1(3/2d) = sin-1[3 * 633 * 10-9 / (2 * 3.32 * 10-5)] = 1.64o

d) dy/D = 3/2

=> y = 3D/2d = (3 * 633 * 10-9) * 1.56 / (2 * 3.32 * 10-5) = 0.045 m