The refractive indices of alcohol and glass are 1.35 and 1.5 respectively. The refractive index of glass with respect to alcohol is

Options

A. 1.11
B. 2.22
C. 0.11
D. 3.11

Explanation

To find the refractive index of glass with respect to alcohol, we can use the formula for relative refractive index:

\[ \mu_{g/a} = \frac{\mu_g}{\mu_a} \]

where:
- \(\mu_{g/a}\) is the refractive index of glass with respect to alcohol,
- \(\mu_g\) is the refractive index of glass,
- \(\mu_a\) is the refractive index of alcohol.

Given:
- \(\mu_g = 1.5\) (refractive index of glass),
- \(\mu_a = 1.35\) (refractive index of alcohol).

Now, substituting the values into the formula:

\[ \mu_{g/a} = \frac{1.5}{1.35} \]

Next, we perform the division:

\[ \mu_{g/a} = \frac{1.5}{1.35} \approx 1.1111 \]

Rounding to three decimal places, we get:

\[ \mu_{g/a} \approx 1.111 \]

Thus, the refractive index of glass with respect to alcohol is approximately **1.111**.