Which of the following is/are correct statements?
I. The wavelength of red light is greater than the wavelength of green light.
II. The wavelength of blue light is smaller than the wavelength of orange light
III. The frequency of green light is greater than the frequency of blue light
IV. The frequency of violet light is greater than the frequency of blue light

Options

A. I and II
B. II and IV
C. I,II and III
D. I, II and IV

Answer

To determine which of the statements regarding the wavelengths and frequencies of different colors of light are correct, we can analyze each statement based on our understanding of the electromagnetic spectrum.

### Step-by-Step Solution:

1. **Understanding the Order of Wavelengths and Frequencies**:
- The visible spectrum of light is arranged in the order of increasing frequency and decreasing wavelength:
- Red > Orange > Yellow > Green > Blue > Indigo > Violet
- This means that red light has the longest wavelength and violet light has the shortest wavelength.

2. **Analyzing Statement I**:
- **Statement I**: "The wavelength of red light is greater than the wavelength of green light."
- Since red light has a longer wavelength than green light, this statement is **correct**.

3. **Analyzing Statement II**:
- **Statement II**: "The wavelength of blue light is smaller than the wavelength of orange light."
- In the visible spectrum, blue light has a shorter wavelength than orange light. Therefore, this statement is also **correct**.

4. **Analyzing Statement III**:
- **Statement III**: "The frequency of green light is greater than the frequency of blue light."
- Since frequency is inversely proportional to wavelength, and blue light has a shorter wavelength than green light, blue light has a higher frequency than green light. Thus, this statement is **incorrect**.

5. **Analyzing Statement IV**:
- **Statement IV**: "The frequency of violet light is greater than the frequency of blue light."
- Violet light has a shorter wavelength than blue light, which means it has a higher frequency. Therefore, this statement is **correct**.

6. **Conclusion**:
- The correct statements are I, II, and IV.

### Final Answer:
The correct statements are: I, II, and IV.