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
Show Answer
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 $