The refractive index of glass with respect to air is 3/2.Refractive index of air with respect to glass is ____.?

Question

Answer

𝕳𝕰𝕽𝕰 𝕴𝕾 𝖄𝕺𝖀𝕽 𝕬𝕹𝕾𝖂𝕰𝕽 :-

𝕽𝖊𝖋𝖗𝖆𝖈𝖙𝖎𝖛𝖊 𝖎𝖓𝖉𝖊𝖝 𝖔𝖋 𝖜𝖆𝖙𝖊𝖗 𝖜𝖗𝖙 𝖆𝖎𝖗 (𝖜𝖆𝖙𝖊𝖗 𝖓 𝖆𝖎𝖗)= 4/3

𝕽𝖊𝖋𝖗𝖆𝖈𝖙𝖎𝖛𝖊 𝖎𝖓𝖉𝖊𝖝 𝖔𝖋 𝖌𝖑𝖆𝖘𝖘 𝖜𝖗𝖙 𝖆𝖎𝖗 (𝖌𝖑𝖆𝖘𝖘 𝖓 𝖆𝖎𝖗) = 3/2

𝕽𝖊𝖋𝖗𝖆𝖈𝖙𝖎𝖛𝖊 𝖎𝖓𝖉𝖊𝖝 𝖔𝖋 𝖌𝖑𝖆𝖘𝖘 𝖜𝖗𝖙 𝖜𝖆𝖙𝖊𝖗 ( 𝖌𝖑𝖆𝖘𝖘 𝖓 𝖜𝖆𝖙𝖊𝖗) = (𝖌𝖑𝖆𝖘𝖘 𝖓 𝖆𝖎𝖗)� (𝖆𝖎𝖗 𝖓 𝖜𝖆𝖙𝖊𝖗) = (𝖌𝖑𝖆𝖘𝖘 𝖓 𝖆𝖎𝖗)� (1/𝖜𝖆𝖙𝖊𝖗 𝖓 𝖆𝖎𝖗) = 4/3 � 2/3 = 8/9.

𝕸𝖞 𝖆𝖇𝖔𝖛𝖊 𝖆𝖓𝖘𝖜𝖊𝖗 𝖜𝖗𝖎𝖙𝖙𝖊𝖓 𝖇𝖞 𝖒𝖊 𝖜𝖆𝖘 𝖜𝖗𝖔𝖓𝖌. 𝕿𝖍𝖊 𝖈𝖔𝖗𝖗𝖊𝖈𝖙 𝖆𝖓𝖘𝖜𝖊𝖗 𝖎𝖘 𝖓𝖔𝖙 8/9 𝖇𝖚𝖙 𝖗𝖆𝖙𝖍𝖊𝖗 9/8.

𝕽𝖊𝖋𝖗𝖆𝖈𝖙𝖎𝖛𝖊 𝖎𝖓𝖉𝖊𝖝 𝖔𝖋 𝖜𝖆𝖙𝖊𝖗 𝖜𝖗𝖙 𝖆𝖎𝖗= 4/3

𝕽𝖊𝖋𝖗𝖆𝖈𝖙𝖎𝖛𝖊 𝖎𝖓𝖉𝖊𝖝 𝖔𝖋 𝖌𝖑𝖆𝖘𝖘 𝖜𝖗𝖙 𝖙𝖔 𝖆𝖎𝖗 = 3/2

𝕽𝖊𝖋𝖗𝖆𝖈𝖙𝖎𝖛𝖊 𝖎𝖓𝖉𝖊𝖝 𝖔𝖋 𝖆𝖎𝖗 𝖜𝖗𝖙 𝖜𝖆𝖙𝖊𝖗 = 1/(𝖗𝖊𝖋𝖗𝖆𝖈𝖙𝖎𝖛𝖊 𝖎𝖓𝖉𝖊𝖝 𝖔𝖋 𝖜𝖆𝖙𝖊𝖗 𝖜𝖗𝖙 𝖆𝖎𝖗) = 1/(4/3) = 3/4

𝕽𝖊𝖋𝖗𝖆𝖈𝖙𝖎𝖛𝖊 𝖎𝖓𝖉𝖊𝖝 𝖔𝖋 𝖌𝖑𝖆𝖘𝖘 𝖜𝖗𝖙 𝖜𝖆𝖙𝖊𝖗 = (𝕽𝖊𝖋𝖗𝖆𝖈𝖙𝖎𝖛𝖊 𝖎𝖓𝖉𝖊𝖝 𝖔𝖋 𝖌𝖑𝖆𝖘𝖘 𝖜𝖗𝖙 𝖆𝖎𝖗) � (𝖗𝖊𝖋𝖗𝖆𝖈𝖙𝖎𝖛𝖊 𝖎𝖓𝖉𝖊𝖝 𝖔𝖋 𝖆𝖎𝖗 𝖜𝖗𝖙 𝖜𝖆𝖙𝖊𝖗) = (3/2) � (3/4) = 9/8.

Answer

Explanation:

Refractive index: The refractive index is a measure of how much the speed of light is reduced when it passes through a medium.

Refractive index of glass with respect to air: It means that the speed of light in air is faster than the speed of light in glass. The refractive index of glass with respect to air is given by:

μ_glass/air = Speed of light in air / Speed of light in glass = 3/2

Refractive index of air with respect to glass: It means that the speed of light in glass is faster than the speed of light in air. The refractive index of air with respect to glass is given by:

μ_air/glass = Speed of light in glass / Speed of light in air

Relation between refractive indices: The refractive indices of two media are reciprocals of each other. That is:

μ_1/2 = 1/μ_2/1

μ_air/glass = 1/μ_glass/air = 1/(3/2) = 2/3