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The focal length of a lens does not change when red light incident on it is replaced by violet light. The reason for this is that the focal length of a lens depends on the lens material and shape, not on the color (or wavelength) of the incident light.
The focal length of a lens is determined by its refractive index and curvature, both of which remain constant regardless of the color of light passing through the lens. When red light is replaced by violet light, the change in wavelength does not alter the refractive index of the lens material or its shape, so the focal length remains unchanged.
In other words, the focal length of a lens is a property of the lens itself and is not affected by the color of light passing through it. Therefore, the focal length of the lens remains the same regardless of whether the incident light is red or violet.
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