light of wavelength 589.3nm falls normally on a plane transmission grating having 600 lines/cm. calculate the angle at which the principal maxima of the first order form
dsinθ=mλd\sin\theta=m\lambdadsinθ=mλ
d=0.01600=1.67⋅10−5 (m)d=\frac{0.01}{600}=1.67\cdot10^{-5}\ (m)d=6000.01=1.67⋅10−5 (m)
θ=sin−1(mλ/d)=sin−1(1⋅589.3⋅10−9/1.67⋅10−5)≈2°\theta=\sin^{-1}(m\lambda/d)=\sin^{-1}(1\cdot589.3\cdot10^{-9}/1.67\cdot10^{-5})\approx2°θ=sin−1(mλ/d)=sin−1(1⋅589.3⋅10−9/1.67⋅10−5)≈2° . Answer
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