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Q.

A thin equiconvex lens is made of a glass of refractive index Question Imageand its focal length isQuestion Imageand its focal length is. If it acts as a concave lens of Question Image. If it acts as a concave lens of focal length when dipped in a liquid, the refractive index of the liquid is:


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a

Question Image

b

Question Image

c

Question Image

d

Question Image 

answer is B.

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Detailed Solution

Concept- Here we have to find the correct option, thus we have to use the formula of lens maker Question Image.
As per the data given in the above question is,
Refractive index Question ImageFocal length isQuestion Image.
Concave lens focal length when dipped in a liquid Question ImageRefractive index of the liquid Question ImageTherefore using the formula of lens maker and the ratio we get,
Question ImageSubstitute the value in above equation we get, Question ImageThus, the refractive index of the liquidQuestion Image.
Hence, the correct option is (2).
                       
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