Question 530 of 949
When light passes from air into water, it bends towards the normal due to which of the following reasons?
- The speed of light increases in water
- The wavelength of light decreases in water
- The refractive index of water is less than that of air
- The speed of light decreases in water
Correct Answer:
D
Explanation
The correct option for the question is **D. The speed of light decreases in water**.
### Detailed Explanation:
When light travels from one medium to another, such as from air (a less dense medium) into water (a denser medium), it undergoes a phenomenon known as refraction. Refraction is the bending of light as it passes from one medium to another due to a change in its speed.
1. **Speed of Light in Different Media**:
- The speed of light in a vacuum is approximately \(3 \times 10^8\) meters per second. However, when light enters a medium like water, its speed decreases. The speed of light in water is about \(2.25 \times 10^8\) meters per second.
- This decrease in speed is crucial because it is the primary reason light bends towards the normal (the imaginary line perpendicular to the surface at the point of incidence).
2. **Understanding Refraction**:
- According to Snell's Law, the relationship between the angles of incidence and refraction is given by:
\[
n_1 \sin(\theta_1) = n_2 \sin(\theta_2)
\]
where:
- \(n_1\) is the refractive index of the first medium (air),
- \(n_2\) is the refractive index of the second medium (water),
- \(\theta_1\) is the angle of incidence,
- \(\theta_2\) is the angle of refraction.
- The refractive index \(n\) of a medium is defined as the ratio of the speed of light in a vacuum to the speed of light in that medium:
\[
n = \frac{c}{v}
\]
where \(c\) is the speed of light in a vacuum and \(v\) is the speed of light in the medium.
3. **Why Light Bends Towards the Normal**:
- When light enters water from air, it slows down (decreases in speed). As a result, the angle of refraction (\(\theta_2\)) is smaller than the angle of incidence (\(\theta_1\)). This means that the light ray bends towards the normal line.
### Analysis of Other Options:
- **A. The speed of light increases in water**:
- This statement is incorrect. The speed of light actually decreases when it enters water from air. This is the opposite of what happens, making this option false.
- **B. The wavelength of light decreases in water**:
- While it is true that the wavelength of light decreases when it enters a denser medium, this is a consequence of the decrease in speed, not the primary reason for the bending. The bending occurs due to the change in speed, so this option is not the best answer.
- **C. The refractive index of water is less than that of air**:
- This statement is incorrect. The refractive index of water (approximately 1.33) is greater than that of air (approximately 1.00). Therefore, this option is also false.
### Summary of Key Points:
- Light bends towards the normal when it enters a denser medium (like water) because its speed decreases.
- Snell's Law describes the relationship between the angles of incidence and refraction based on the refractive indices of the two media.
- The refractive index of water is greater than that of air, confirming that light slows down and bends towards the normal when entering water.
### Revision Summary:
- Light slows down when entering a denser medium, causing it to bend towards the normal.
- Snell's Law relates the angles of incidence and refraction to the refractive indices of the media.
- The refractive index of water is greater than that of air, confirming the decrease in speed.
- Understanding the relationship between speed, wavelength, and refractive index is crucial for mastering refraction concepts.