The value of refractive index of diamond

Options

A. 1.45
B. 2.45
C. 3.40
D. 1.54

Answer

To find the value of the refractive index of diamond, we can follow these steps:

### Step 1: Understand the Concept of Refractive Index
The refractive index (μ) of a medium is defined as the ratio of the speed of light in a vacuum (C) to the speed of light in that medium (V). Mathematically, it can be expressed as:
\[ \mu = \frac{C}{V} \]

### Step 2: Identify the Speed of Light in Vacuum
The speed of light in a vacuum (C) is a constant value, approximately:
\[ C \approx 3 \times 10^8 \text{ m/s} \]

### Step 3: Determine the Speed of Light in Diamond
The speed of light in diamond (V) is lower than that in a vacuum. The refractive index of diamond is known to be approximately 2.417. This means that light travels slower in diamond compared to a vacuum.

### Step 4: Calculate the Refractive Index
Using the known refractive index value for diamond:
\[ \mu_{\text{diamond}} \approx 2.417 \]

### Step 5: Conclusion
Thus, the value of the refractive index of diamond is approximately 2.417.