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Ray Optics and Optical Instruments

  1. If fV and fR are the focal lengths of a convex lens for violet and red light respectively and FV and FR are the focal lengths of concave lens for violet and red light respectively, then we have
    1. ​fV < fR and FV > FR
    2. fV < fR and FV < FR
    3. fV > fR and FV > FR
    4. ​fV > fR and FV < FR
Correct Option: A

1
= (μ - 1)
1
-
1
fR1R2

According to Cauchy relation
μ = A +
B
+
C
....    Hence f ∝ λ
λ2λ4

Hence, red light having maximum wavelength has maximum focal length. ​
∴ fv < fr and also Fv > Fr as focal length is negative for a concave lens.



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