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Find the angle of a prism of dispersive ...

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 a prism with a dispersive power of 0.020 and a refractive index of 1.60 that will form an achromatic combination with another prism that has an angle of 4 degrees, a dispersive power of 0.040, and a refractive index of 1.75. We will also calculate the resultant deviation. ### Step-by-Step Solution: 1. **Understanding the Condition for Achromatic Combination:** The condition for two prisms to form an achromatic combination is given by: \[ \omega_1 ( \mu_1 - 1 ) A_1 + \omega_2 ( \mu_2 - 1 ) A_2 = 0 ...
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