lens maker formula
Solution
The Lensmaker's formula is a mathematical relationship between the focal length of a lens, the radii of curvature of its two surfaces, and its refractive index. The formula is given as:
1/f = (n-1)(1/R1 - 1/R2)
Where:
- f is the focal length of the lens,
- n is the refractive index of the lens material,
- R1 is the radius of curvature of the lens surface closest to the light source,
- R2 is the radius of curvature of the lens surface farthest from the light source.
The signs of R1 and R2 depend on the direction of the incoming light. If the center of curvature of the lens surface is on the same side as the incoming light, the radius of curvature is positive. If the center of curvature is on the opposite side, the radius of curvature is negative.
The Lensmaker's formula is used in optics to calculate the focal length of a lens, given the radii of curvature of its surfaces and the refractive index of its material.
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