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Q.

The dispersion for a medium of wavelength λ is D, then the dispersion for the wavelength 2λ will be

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a

D8

b

D4

c

D2

d

D

answer is A.

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Detailed Solution

∵μ=a+bλ2  (Cauchy's equation)   and dispersion D=−dμdλ⇒D=−−2λ−3b=2bλ3 ⇒D∝1λ3⇒D′D=λλ′3=λ2λ3=18⇒D′=D8
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The dispersion for a medium of wavelength λ is D, then the dispersion for the wavelength 2λ will be