Which one of the following statements is true concerning the focal length of a l

Question

Which one of the following statements is true concerning the focal length of a lens?

(a) The focal length is different for different colors because of dispersion.

(b) The focal length is the same for all colors.

(c) The focal length is different for different colors because of reflection.

(d) The focal length is different for different colors because of polarization.

(e) The focal length is different for different colors because of spherical aberration.

Please explain answer and explain why.

32. Which one of the following statements is true concerning the focal length of a lens? (a) The focal length is different for different colors because of dispersion. (b) The focal length is the same for all colors. (c) The focal length is different for different colors because of reflection. (d) The focal length is different for different colors because of polarization. (e) The focal length is different for different colors because of spherical aberration.

Explanation / Answer

The lens will not focus at same place due to different colors depends on wavelength and index of refraction, the wavelength depends on index of refraction is called dispersion. For blue color, shorter wavelength the focal length is shorter and for red color the wavelengh is larger larger the focallength. Therefore the focal lengths are different for different colors due to dispersion.

Option (A) is correct.

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