Question

The refractive index of dlint glass is 1.65 and for alcohol,it is 1.36 with respect to air. Find the refractive index of flint glass with respect to alcohol.​

Answer 1

Given :

▪ Refractive index of glass = 1.65

▪ Refractive index of alcohol = 1.36

To Find :

▪ Refractive index of glass with respect to alcohol.

Concept :

✒ Refractive index of the medium is defined as the ratio of velocity of light in the vacuum to the velocity of light in the medium.

✒ Refractive index is an unitless as well as dimensionless quantity.

✒ Refractive index of medium 1 wrt 2 is given by

$\bigstar\:\underline{\boxed{\bf{\pink{n_{12}=\dfrac{n_1}{n_2}}}}}$

Calculation :

$\implies\sf\:n_{ga}=\dfrac{n_g}{n_a}\\ \\ \implies\sf\:n_{ga}=\dfrac{1.65}{1.36}\\ \\ \implies\underline{\boxed{\bf{\purple{n_{ga}=1.21}}}}\:\orange{\bigstar}$

Answer 2

Aɴꜱᴡᴇʀ

☞ Your answer is 1.21

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Gɪᴠᴇɴ

➳ Refractive index of flint glass = 1.65

➳ Refractive index of alcohol = 1.36

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Tᴏ ꜰɪɴᴅ

➤ Refractive index of flint glass wrt alcohol.

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Sᴛᴇᴘꜱ

❍ Formula of Refractive index of medium 2 with respect to medium 1 is given by,

$\underline{ \boxed{ \sf{ \green{ \eta _ {21} = \frac{ \eta_2}{ \eta_1} }}}}$

Substituting the given values,

✏ Refractive index of flint glass wrt alcohol is given by

$\dashrightarrow \sf \: \eta_{ga} = \frac{ \eta_{glass}}{ \eta_{ alcohol}} \\ \\ \dashrightarrow \sf \: \eta_{ga} = \frac{1.65}{1.36} \\ \\ \red\dashrightarrow { \sf{ \pink{ \eta_{ga} = 1.21}}}$

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Additional information:

➳ Refractive index is unitless quantity.

➳ Refractive index is dimensionless quantity.

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