Issues with Simple Glass Lens & White Light

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SUMMARY

A simple glass lens fails to focus images correctly under white light due to chromatic aberration, where different colors of light refract at varying angles. This phenomenon occurs because the refractive index of glass varies with the wavelength of light, causing colors to converge at different focal points. The discussion highlights that the refractive index (n) is calculated using the formula n = c/v, where c is the speed of light in a vacuum and v is the speed of light in the medium. The consensus is that the primary reason for the blurring of images is the dispersion of light, specifically noted in option (d), which states that a glass prism splits sunlight into different colors.

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  • Basic knowledge of chromatic aberration
  • Awareness of the behavior of light in different media
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  • Learn about the calculation and implications of refractive index in various materials
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  • Investigate the behavior of light in prisms and their applications in optics
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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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