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PeachBanana
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Homework Statement
Monochromatic light falls on two very narrow slits 0.046 mm apart. Successive fringes on a screen 5.30 m away are 7.0 cm apart near the center of the pattern. Determine the wavelength of the light to two significant figures.
Homework Equations
x2 ≈ Lθ2 = L (2λ) / d
The Attempt at a Solution
I'm guessing the θ is very small so I can assume sin θ ≈ θ in radians. When the problem said the successive fringes were 7.0 cm apart near the center of the pattern, I thought that meant x2 was 7.0 cm above x1.
λ = dx2 / 2L
λ = (0.07 m)(4.6 *10^-5 m) / (2 * 5.30 m)
λ = 3.01 * 10^-7 m