What would the wavelength of radiation whose frequency is 5.75*10 to the 9th cycles per second be?
Name the type of radiation it is?
c = frequency*wavelength
how do i find the wavelength?
You plug in the frequency value from the problem, c (the speed of light), and solve for wavelength.
Do you know the speed of light? It is a constant; 3 x 10^8 m/s.
To determine the wavelength of radiation, you can use the formula:
λ = c / ν
where:
λ = wavelength of the radiation
c = speed of light in a vacuum (approximately 3.00 × 10^8 meters per second)
ν = frequency of the radiation
Given the frequency of the radiation as 5.75 × 10^9 cycles per second, we can substitute it into the formula:
λ = (3.00 × 10^8 m/s) / (5.75 × 10^9 cycles/s)
λ ≈ 0.0521739 meters
So, the wavelength of the radiation is approximately 0.0521739 meters.
To determine the type of radiation, we can use the electromagnetic spectrum. Different types of radiation have specific ranges of wavelengths. Here are some common types of radiation based on their wavelengths:
- Radio waves: > 1 meter
- Microwave: 1 mm - 1 meter
- Infrared: 700 nm - 1 mm
- Visible light: 400 - 700 nm
- Ultraviolet: 10 - 400 nm
- X-rays: 0.01 - 10 nm
- Gamma rays: < 0.01 nm
Given that the wavelength we calculated is approximately 0.0521739 meters, this falls in the range of radio waves. Hence, the type of radiation is likely radio waves.