Question

Arrange the following substances/media in the increasing order of their refractive indices.
A. Crown glass
B. Water
C. Diamond
D. CO₂
Choose the correct answer from the options given below:

• A. A, B, C, D
• B. D, C, B, A
• C. D, B, A, C
• D. D, B, C, A

Hint:

CO\(_2\) is about 1.0, water 1.33, crown glass 1.5, diamond 2.42.

Answer 1

The Correct Option is C

Step 1: Understanding the Question:
We must sort four media by refractive index, from the smallest to the largest.

Step 2: Recall the Values:
Refractive index is \(n = c/v\). Typical values are: CO\(_2\) gas about 1.0004, water about 1.33, crown glass about 1.52, diamond about 2.42.

Step 3: Sort in Increasing Order:
\[ n_{CO_2} < n_{water} < n_{crown\ glass} < n_{diamond} \] In letters this is D, B, A, C.

Step 4: Checking Each Option:
Option 1 (A, B, C, D) puts crown glass first. This is wrong.
Option 2 (D, C, B, A) puts diamond before water. This is wrong.
Option 3 (D, B, A, C) matches our order.
Option 4 (D, B, C, A) puts diamond before crown glass. This is wrong.

Final Answer:
The order is CO2, water, crown glass, diamond, so option 3 is correct. \[ \boxed{D, B, A, C} \]