Calculate the dispersive power for crown glass from the given data
`mu_(v)=1.523` and `mu_(r)=1.5145`.

Options

A. 0.01639
B. 1.05639
C. 0.05639
D. 2.05639

Explanation

To calculate the dispersive power of crown glass, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the given values**:
- Refractive index for violet light, \( \mu_v = 1.523 \)
- Refractive index for red light, \( \mu_r = 1.5145 \)

2. **Calculate the mean refractive index (\( \mu \))**:
\[ \mu = \frac{\mu_v + \mu_r}{2} \]
Substituting the given values:
\[ \mu = \frac{1.523 + 1.5145}{2} = \frac{3.0375}{2} = 1.51875 \]

3. **Calculate the dispersive power (\( \omega \))**:
The formula for dispersive power is given by:
\[ \omega = \frac{\mu_v - \mu_r}{\mu - 1} \]
Substituting the values we have:
\[ \omega = \frac{1.523 - 1.5145}{1.51875 - 1} \]

4. **Calculate the numerator**:
\[ 1.523 - 1.5145 = 0.0085 \]

5. **Calculate the denominator**:
\[ 1.51875 - 1 = 0.51875 \]

6. **Calculate the dispersive power**:
\[ \omega = \frac{0.0085}{0.51875} \approx 0.01639 \]

7. **Final result**:
The dispersive power of crown glass is approximately \( 0.01639 \).