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FIGURE shows the light intensity on a screen behind a double slit. The slit spac

ID: 2124096 • Letter: F

Question

FIGURE shows the light intensity on a screen behind a double slit. The slit spacing is 0.46 mm and the wavelength of the light is 539 nm. What is the distance from the slits to the screen? (L=1.8 cm.)style="color: #551100; font-family: 'times new roman'; font-size: medium;" data-mce-style="color: #551100; font-family: 'times new roman'; font-size: medium;">

FIGURE shows the light intensity on a screen behind a double slit. The slit spacing is 0.46 mm and the wavelength of the light is 539 nm. What is the distance from the slits to the screen? (L=1.8 cm.)

Explanation / Answer

The formula for double slit is

y = lambLm/d

We are asked to find L

L = yd/lambm

y is not 1.8 cm to use in the problem, the 1.8 cm they give is a distance from one since of the second order to the other side. We need to divide that by 2, so y = .9 cm to the second order maxima

Therefore

L = (9 X 10-3)(4.6 X 10-4)/(539 X 10-9)(2)

L = 3.84 m