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If $f_{V}$ and $f_{R}$ are the magnitude of focal lengths of a convex lens for violet and red light respectively and $F_{V}$ and $f_{R}$ are the magnitude of focal lengths of concave lens for violet and red light respectively, then we have

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fVFR

fV>fR and FV>FR

fV>fR and FV

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detailed solution

Correct option is B

1f=μ−11R1−1R2According to Cauchy relationμ=A+Bλ2+Cλ4......Hence f ∝ λ.For violet, wavelength is less hence its focal length is also less. Hence , focus of violet is closer to lens compared to red.∴fv < frand Fv < Fr

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If fV and fR are the magnitude of focal lengths of a convex lens for violet and red light respectively and FV and fR are the magnitude of focal lengths of concave lens for violet and red light respectively, then we have

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If $f_{V}$ and $f_{R}$ are the magnitude of focal lengths of a convex lens for violet and red light respectively and $F_{V}$ and $f_{R}$ are the magnitude of focal lengths of concave lens for violet and red light respectively, then we have