imagine a laser beam imagine a laser beam imagine a laser beam 3. Imagine a lase

Question

imagine a laser beam imagine a laser beam imagine a laser beam 3. Imagine a laser beam that is incident on a two-slit apparatus. The light that passes through each slit spreads out (diffrac is produced, as shown below. ts), and then reaches a distant screen, at which point an interference pattern of alternating bright and dark stripes .670 bright two slits screen (a) What is the difference in path length from the upper slit to point A on the screen versus the lower slit to point (b) What is the difference in path length from the upper slit to point B on the screen versus the lower slit to point c) What is the difference in path length from the upper slit to point C on the screen versus the lower slit to poi the screen, in units of the wavelength of the laser? the screen, in units of the wavelength of the laser? rcreen in units of the wavelength of the laser? ut D on the screeh versus the lower slit to p

Explanation / Answer

form the given data and the figure

a. from symmetry, the path differnece in the ditance from upper slit to A and from lower slit to A is 0

b. as point B is a bright fringe, hence path length difference is lambda

c. for point C, dl = lambda + lambda/2 = 3*lambda/2

d. for D

dl = 2*lambda

e. d = 0.01 mm

theta1 = 3.63 deg

lambda = ?

theta2 = ?

y1/D = tan(theta1) = 0.063440355

y1 = lambda*D/d

0.06344035 = lambda/0.01*10^-3

lambda = 634.4 nm

y2/D = tan(theta2) = 3*lambda/d

theta2 = 10.7757 deg

f. D = 1.5 m

y2 = tan(theta2)*1.5 = 0.285481601 m

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