Corpuscular theory of light predicts speed of light to be

Options

A. independent of medium
B. Greater in water than in vaccum
C. Greater in vaccum than in water
D. Dependent on intensity of light

Answer

To solve the question regarding the predictions of the corpuscular theory of light about the speed of light, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Corpuscular Theory**: The corpuscular theory of light, proposed by Isaac Newton, suggests that light is made up of particles (corpuscles) that travel in straight lines. According to this theory, the speed of light can vary depending on the medium through which it travels.

2. **Identifying the Mediums**: In the question, we are comparing the speed of light in two different mediums: a rarer medium (like vacuum) and a denser medium (like water).

3. **Applying Snell's Law**: Snell's law states that the ratio of the sine of the angle of incidence (i) to the sine of the angle of refraction (r) is equal to the ratio of the speeds of light in the two mediums. This can be expressed as:
\[ \frac{\sin i}{\sin r} = \frac{v_2}{v_1} \]
where \(v_1\) is the speed of light in the rarer medium and \(v_2\) is the speed of light in the denser medium.

4. **Analyzing the Ratios**: Since light bends towards the normal when it enters a denser medium, we can conclude that:
\[ \frac{v_2}{v_1} < 1 \]
This means that the speed of light in the denser medium (water) is less than in the rarer medium (vacuum).

5. **Conclusion**: Therefore, according to the corpuscular theory, the speed of light is greater in vacuum than in water. This leads us to conclude that the correct answer to the question is that the speed of light is independent of the medium, and it is greater in vacuum than in water.

### Final Answer:
The corpuscular theory of light predicts that the speed of light is greater in vacuum than in water.