The velocity of light in diamond is 121000 km/s. What is the refractive index?

• A.) 1.47
• B.) 2.47
• C.) 3.52
• D.) 3.86

To find the refractive index of diamond, we can use the formula:

Refractive Index Calculation

The refractive index (n) is calculated using the speed of light in a vacuum (c) and the speed of light in the material (v):

n = c / v

Values Needed

• Speed of light in a vacuum (c) = 300,000 km/s
• Speed of light in diamond (v) = 121,000 km/s

Performing the Calculation

Now, substituting the values into the formula:

n = 300,000 km/s / 121,000 km/s

Calculating this gives:

n ≈ 2.48

Choosing the Correct Answer

From the options provided, the closest value to 2.48 is:

• B.) 2.47

Therefore, the refractive index of diamond is approximately 2.47.