Optics Question 726

Question: When light travels from air to water and from water to glass, again from glass to $ CO _{2} $ gas and finally through air. The relation between their refractive indices will be given by

Options:

A) $ _{a}n _{w}\times _{w}n _{gl}\times _{gl}n _{gas}\times _{gas}n _{a}=1 $

B) $ _{a}n _{w}\times _{w}n _{gl}\times _{gas}n _{gl}\times _{gl}n _{a}=1 $

C) $ _{a}n _{w}\times _{w}n _{gl}\times _{gl}n _{gas}=1 $

D) There is no such relation

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Answer:

Correct Answer: A

Solution:

$ _{a}n _{w}\times _{w}n _{gl}\times _{gl}n _{gas}\times _{gas}n _{a} $

$ =\frac{n _{w}}{n _{a}}\times \frac{n _{gl}}{n _{w}}\times \frac{n _{gas}}{n _{gl}}\times \frac{n _{a}}{n _{gas}}=1 $



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