The refractive index of light in glass varies with its wavelength according to equation `mu (lambda) = a+ (b)/(lambda^(2))` where a and b are positive constants. A nearly monochromatic parallel beam of light is incident on a thin convex lens as shown. The wavelength of incident light is `lambda_(0) +-Delta lambda` where `Delta lambda lt lt lambda_(0)`. The light gets focused on the principal axis of the lens over a region AB. If the focal length of the lens for a light of wavelength `lambda_(0)` is `f_(0)`, find the spread AB.

The refractive index of light in glass varies with its wavelength acco

1.	The refractive index of light in glass varies with its wavelength according to equation `mu (lambda) = a+ (b)/(lambda^(2))` where a and b are positive constants. A nearly monochromatic parallel beam of light is incident on a thin convex lens as shown. The wavelength of incident light is `lambda_(0) +-Delta lambda` where `Delta lambda lt lt lambda_(0)`. The light gets focused on the principal axis of the lens over a region AB. If the focal length of the lens for a light of wavelength `lambda_(0)` is `f_(0)`, find the spread AB.
Answer» Correct Answer - `f_(0) [(4b Delta lambda)/(lambda_(0) (a lambda_(0)^(2) +b - lambda_(0)^(2)))]`

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