Red laser light shines on a double slit, creating a pattern of bright and dark s

Question

Red laser light shines on a double slit, creating a pattern of bright and dark spots on a screen some distance away. The picture below shows three representations of this situation. At the top, we see an overhead view of the laser striking the double slit, and then the resulting pattern of bright and dark lines created by interference. At the bottom, we see the pattern of bright and dark fringes on a screen that is located some distance from the double slit. In the middle, the graph shows the corresponding intensity of those bright and dark fringes.

(b) Let's say that the red laser has a wavelength of 650 nm, the distance between the two slits is 23,000 nm, and the distance between the double slit and the screen is 2.40 m. What is the distance on the screen between the center of the central maximum (m = 0) and the center of one of the third-order maxima?

Please help with part B! Answer is in meters! Thanks!

(a) Which of the following changes, carried out separately, would increase the distance between the bright spots on the screen? (Select all that apply.) Increase the distance between the two slits. Immerse the entire apparatus in water O Decrease the distance between the double slit and the screen Replace the red laser with a green laser Decrease the distance between the two slits. Increase the distance between the double slit and the screen

Explanation / Answer

We know that,

y = m lambda D/d

We have,

lambda = 650 nm ; d = 23000nm ; D = 2.4 m

for m = 0 ; y = 0

for m = 3

y3 = 3 x 650 x 10^-9 x 2.4/23000 x 10^-9 = 0.2035 m

Hence, y = 0.2035 m

[ for m = 1 ; y = 0.068 m]

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