Question
The diagram below shows the frequencies of various types of electromagnetic radiation.
Which of the following statements correctly compares the frequency and energy of microwaves and visible light waves?
(1 point)
Responses
Microwaves have higher frequencies than visible light waves. Since frequency and wavelength are directly proportional, microwaves also have longer wavelengths than visible light waves.
Microwaves have higher frequencies than visible light waves. Since frequency and wavelength are directly proportional, microwaves also have longer wavelengths than visible light waves.
Microwaves have lower frequencies than visible light waves. Since frequency and wavelength are inversely proportional, microwaves also have shorter wavelengths than visible light waves.
Microwaves have lower frequencies than visible light waves. Since frequency and wavelength are inversely proportional, microwaves also have shorter wavelengths than visible light waves.
Microwaves have lower frequencies than visible light waves. Since frequency and wavelength are inversely proportional, microwaves also have a shorter wavelength than visible light waves.
Microwaves have lower frequencies than visible light waves. Since frequency and wavelength are inversely proportional, microwaves also have a shorter wavelength than visible light waves.
Microwaves have higher frequencies than visible light waves. Since frequency and wavelength are directly proportional, microwaves also have shorter wavelengths than visible light waves.
Microwaves have higher frequencies than visible light waves. Since frequency and wavelength are directly proportional, microwaves also have shorter wavelengths than visible light waves.
Which of the following statements correctly compares the frequency and energy of microwaves and visible light waves?
(1 point)
Responses
Microwaves have higher frequencies than visible light waves. Since frequency and wavelength are directly proportional, microwaves also have longer wavelengths than visible light waves.
Microwaves have higher frequencies than visible light waves. Since frequency and wavelength are directly proportional, microwaves also have longer wavelengths than visible light waves.
Microwaves have lower frequencies than visible light waves. Since frequency and wavelength are inversely proportional, microwaves also have shorter wavelengths than visible light waves.
Microwaves have lower frequencies than visible light waves. Since frequency and wavelength are inversely proportional, microwaves also have shorter wavelengths than visible light waves.
Microwaves have lower frequencies than visible light waves. Since frequency and wavelength are inversely proportional, microwaves also have a shorter wavelength than visible light waves.
Microwaves have lower frequencies than visible light waves. Since frequency and wavelength are inversely proportional, microwaves also have a shorter wavelength than visible light waves.
Microwaves have higher frequencies than visible light waves. Since frequency and wavelength are directly proportional, microwaves also have shorter wavelengths than visible light waves.
Microwaves have higher frequencies than visible light waves. Since frequency and wavelength are directly proportional, microwaves also have shorter wavelengths than visible light waves.
Answers
GPT-4o mini
To correctly compare the frequencies and wavelengths of microwaves and visible light waves, we need to consider the relationships between frequency, wavelength, and energy.
1. **Frequency and Wavelength Relationship**: Frequency (\(f\)) and wavelength (\(\lambda\)) are inversely proportional, meaning that as frequency increases, wavelength decreases, and vice versa. This can be mathematically expressed as \(c = f \lambda\), where \(c\) is the speed of light.
2. **Energy and Frequency Relationship**: The energy (\(E\)) of electromagnetic radiation is directly proportional to its frequency, given by the equation \(E = hf\), where \(h\) is Planck's constant.
Now, let's analyze the options given:
- **Microwaves have higher frequencies than visible light waves.** This is **incorrect**. Microwaves have lower frequencies than visible light.
- **Since frequency and wavelength are directly proportional, microwaves also have longer wavelengths than visible light waves.** This is **incorrect** because frequency and wavelength are inversely proportional.
- **Microwaves have lower frequencies than visible light waves.** This is **correct**.
- **Since frequency and wavelength are inversely proportional, microwaves also have shorter wavelengths than visible light waves.** This is also **incorrect**. Since microwaves have lower frequencies, they have longer wavelengths, not shorter.
Given this understanding, the correct completion would be:
**Microwaves have lower frequencies than visible light waves. Since frequency and wavelength are inversely proportional, microwaves also have longer wavelengths than visible light waves.**
It appears there is a mistake in the options as none of them fully convey this correct information. The correct comparison is that microwaves have lower frequencies and longer wavelengths than visible light waves.
1. **Frequency and Wavelength Relationship**: Frequency (\(f\)) and wavelength (\(\lambda\)) are inversely proportional, meaning that as frequency increases, wavelength decreases, and vice versa. This can be mathematically expressed as \(c = f \lambda\), where \(c\) is the speed of light.
2. **Energy and Frequency Relationship**: The energy (\(E\)) of electromagnetic radiation is directly proportional to its frequency, given by the equation \(E = hf\), where \(h\) is Planck's constant.
Now, let's analyze the options given:
- **Microwaves have higher frequencies than visible light waves.** This is **incorrect**. Microwaves have lower frequencies than visible light.
- **Since frequency and wavelength are directly proportional, microwaves also have longer wavelengths than visible light waves.** This is **incorrect** because frequency and wavelength are inversely proportional.
- **Microwaves have lower frequencies than visible light waves.** This is **correct**.
- **Since frequency and wavelength are inversely proportional, microwaves also have shorter wavelengths than visible light waves.** This is also **incorrect**. Since microwaves have lower frequencies, they have longer wavelengths, not shorter.
Given this understanding, the correct completion would be:
**Microwaves have lower frequencies than visible light waves. Since frequency and wavelength are inversely proportional, microwaves also have longer wavelengths than visible light waves.**
It appears there is a mistake in the options as none of them fully convey this correct information. The correct comparison is that microwaves have lower frequencies and longer wavelengths than visible light waves.