Issues with Simple Glass Lens & White Light

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A simple glass lens fails to focus images correctly under white light due to the varying refractive indices for different colors, causing chromatic aberration. This phenomenon results in different colors being brought to focus at different points, leading to a blurred image. The refractive index of glass indeed varies with the color of light, which is why red and blue light travel at different speeds in the same medium. The discussion also touches on the absorption of UV light and the reflection of some light at the lens surface, but the primary issue is the dispersion of light. Ultimately, the conclusion points towards the lens's inability to focus all colors of light simultaneously.
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Homework Statement


A simple glass lens do not focus the image of an object correctly under white light because

a. the lens absorbs light
b. the glass has come colouration due to impurities
c. the surface of the lens reflect some light
d. a glass prism splits sunlight into different colours.
e. glass absorbs UV light


Homework Equations





The Attempt at a Solution


Sorry I am clueless...:frown:
 
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Glass lens focuses light due to refraction. Refractive index depends on the color of the light. That is why we see the rainbow. In the lens the colors in the white light are brought to focus at different points producing a blur image.
 
Hi Mr. rl.bhat
rl.bhat said:
Glass lens focuses light due to refraction. Refractive index depends on the color of the light. That is why we see the rainbow. In the lens the colors in the white light are brought to focus at different points producing a blur image.

You mean the refractive index of one glass lens depends on the color of the light that passes through it?

This is what I can come up with :

n=\frac{c}{v} , where v is the speed of light in medium

The speed of red light and blue light will be different if they travel in same medium (e.g water) so the value of n (refractive index) of the water will be different for them?

And they only have the same speed if they travel in vacuum?

I think the answer is (d)

Thanks
 
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