Which of the following statements is correct?

Options

A. During hot summer days, the trees and other tall objects seem to be quivering because the density of air changes in an irregular way
B. When the moon is near the horizon it appears bigger. The is due to optical illusion
C. If the critical angle for the medium of a prism is `theta_(c)` and the angle of prism is A, there will be no emergent ray when `Agt2theta_(c)`
D. All of these

Answer

To determine which of the statements is correct, let's analyze each option step by step.

### Step 1: Analyze Statement 1
**Statement 1:** "During hot summer days, the trees and other tall objects seem to be quivering because the density of air changes regularly."

- **Explanation:** On hot summer days, the air near the ground gets heated, causing it to become less dense. This change in density leads to refraction of light rays passing through different layers of air. As a result, objects like trees appear to shimmer or quiver due to the bending of light. This phenomenon is known as "heat haze."
- **Conclusion:** This statement is **correct**.

### Step 2: Analyze Statement 2
**Statement 2:** "When the moon is near the horizon, it appears bigger due to optical illusion."

- **Explanation:** The moon appears larger when it is near the horizon compared to when it is high in the sky. This is an optical illusion known as the "moon illusion." Our brain perceives the moon as larger when it is viewed alongside objects on the horizon, even though its actual size does not change.
- **Conclusion:** This statement is **correct**.

### Step 3: Analyze Statement 3
**Statement 3:** "The critical angle for a medium of a prism is θc, and there will be no emergent ray when the angle of incidence (a) is greater than 2θc."

- **Explanation:** The critical angle (θc) is the angle of incidence above which total internal reflection occurs. If the angle of incidence is greater than 2θc, the light will not emerge from the prism but will instead undergo total internal reflection. Therefore, no emergent ray will be formed.
- **Conclusion:** This statement is **correct**.

### Final Conclusion
Since all three statements are correct, the answer to the question "Which of the following statements is correct?" is **all of the above**.

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