o sources of light illuminate a double slit simultaneously. One has wavelength n

Question

o sources of light illuminate a double slit simultaneously. One has wavelength nm and the second has an unknown wavelength. The m= 5 bright fringe of the unknown wavelength overlaps the m 4 bright fringe of the light of ST0 nm wavelength. What is the unknown wavelength? 570 8) A) 713 nm B) 380 nm C) 326 nm D) 456 nm 9) Light in air is initially traveling parallel to the face AC of an equilateral triangular prism, 9) travel as shown in the figure. the light does not strike th prism at face BCand the normal in air at that face? The prism is made of glass with an index of refraction of 1.52. If e face AC, what is the angle between the ray as it leaves the A) 190 B) 59° C) 55° D) 27° E) 83°

Explanation / Answer

8)

m / d = x / L

where

is the wavelength of the light,

d is the separation of the slits,

m is the order of maximum observed (central maximum is n = 0),

x is the distance between the bands of light and the central maximum (also called fringe distance),

L is the distance from the slits to the screen centerpoint.

Using the known wavelength, first find x in terms of L and d:

x = m L / d = 4 * 570 L/d

Now,

(unknown) = x d/mL = (4 * 570 L/d) d/mL = 4 * 570 / m (l and d cancel out)

= (4 * 570)/5 = 456 nm ->>> option D

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