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Focal lengths of a lens for violet, yell...

Focal lengths of a lens for violet, yellow and red colours are `f_(v), f_(y) and f_(r)` respectively. Calculate the dispersive power of the material of the lens.

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To calculate the dispersive power of the material of the lens based on the given focal lengths for violet, yellow, and red colors, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Lens Maker's Formula**: The lens maker's formula relates the focal length of a lens to the refractive index of the lens material and the radii of curvature of its surfaces. The formula is given by: \[ \frac{1}{F} = (\mu - 1) \left( \frac{1}{R_1} - \frac{1}{R_2} \right) ...
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