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Find the angle of a prism of dispersive power 0.020 and refractive index 1.60 to form an achromatic combination with the prism of angle `4^@` and dispersive power 0.040 having refractive index 1.75. Also calculate the resultant deviation.

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To solve the problem, we need to find the angle of the first prism (A1) that will form an achromatic combination with the second prism (A2 = 4°). We are given the dispersive powers and refractive indices of both prisms. ### Step 1: Write the formula for achromatic combination For an achromatic combination, the condition is given by: \[ \omega_1 \delta_1 + \omega_2 \delta_2 = 0 \] where: ...
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