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Q.

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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a

fVFR

b

fV

c

fV>fR and FV>FR

d

fV>fR and FV

answer is B.

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Detailed Solution

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