A laser beam is incident on two slits with separation d = 0.022 mm. A screen is

Question

A laser beam is incident on two slits with separation d = 0.022 mm. A screen is placed L = 1.2 m from the slits. The wavelength of the laser light is lambda = 1250 theta_1 and theta_2 are the angles to the first and second bright fringes above the center of the screen. Express sin(theta_1) in terms of d and lambda. Express sin(theta_2) in terms of d and lambda. Express the distance between the two bright fringes on the screen, y, in terms of theta_1, theta_2 and L. Solve for the numerical value of y in meters. y =

Explanation / Answer

Condition for bright fringes,

         d sin(1) = m

         d sin(1) = 1

          sin(1) = / d

(b) Condition for bright fringes,

         d sin(2) = m

         d sin(2) = 2

          sin(2) = 2 / d

(c) From the figure, tan2 - tan1 = y / L

For small angles tan = sin

sin2 - sin1 = y / L

y = L(sin2 - sin1)

d) y = 2 (L / d) - (L / d) = L / d = 6.818 x 10-3 m

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