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Numericals · Q48

Q.From the given data set, determine angular dispersion by the prism and dispersive power of its material for extreme colours. nR = 1.62, nV = 1.66, δR = 3.1°

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For a thin prism, delta=A(n-1) for each colour, with the SAME prism angle A for both. From the given delta_R=3.1 degrees and n_R=1.62: A = delta_R/(n_R-1) = 3.1/0.62 = 5.0 degrees. Using this same A for violet: delta_V = A(n_V-1) = 5.0 x 0.66 = 3.3 degrees. Angular dispersion: delta_VR = delta_V - delta_R = 3.3-3.1 = 0.2 degrees. Mean deviation (using yellow as the mean, n_Y=(n_R+n_V)/2=1.64): delta_Y = A(n_Y-1) = 5.0 x 0.64 = 3.2 degrees (equi …

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