Full set of Notes with Fill-Ins - San Jose State University

Chem 155 Unit 3 Page 69 of 3161.1.29 Diffraction Exercises:1. Derive a formula for the path difference δ, as afunction of the spacing d, and the angle ofincidence θ. (Use the diagram on the following page.)first note that θ = φsin(θ) = δ/dδ = dsin(θ)2. Under what conditions is the light intensity at thedetector high or bright?δ = nλn = … -2,-1,0,1,2 … i.e. any integer3. Calculate the wavelengths of light that arediffracted at 48° for d = 1 micrometer (1μ).nλ = dsin(θ)λ = dsin(θ) / nλ = 1.00 μm sin(48) / 1 (assumes order = 1, common)0.743 μm = 743 nm (red)Page 69 of 316