A sample of light has a wavelength of 2.61 x 10^-12 m. What is it's frequency?
A popular radio station broadcasts with a frequency of 94.7 mHz. What is the wave length of the broadcast? (1MHz = 1 x10^6 HZ)
What is the wavelength of electromagnetic radiation having a frequency of 7.11 x 10^ Hz?
c = fw.
f = freq in Hz
w = wavelength in m
c = speed of light in m/s
test
To find the frequency of a sample of light, you can use the equation:
c = λ * v
where c is the speed of light (approximately 3 x 10^8 m/s), λ is the wavelength of the light, and v is the frequency of the light.
For the first question, you are given the wavelength of the light (2.61 x 10^-12 m). Plugging this value and the speed of light into the equation, you can calculate the frequency:
c = λ * v
(3 x 10^8 m/s) = (2.61 x 10^-12 m) * v
Now, solving for v (frequency):
v = (3 x 10^8 m/s) / (2.61 x 10^-12 m)
v ≈ 1.15 x 10^20 Hz
Therefore, the frequency of the light sample is approximately 1.15 x 10^20 Hz.
For the second question, you are given the frequency of the radio station (94.7 mHz). First, convert the frequency from millihertz to hertz by dividing it by 1000:
Frequency (in Hz) = 94.7 mHz / 1000
Frequency (in Hz) = 0.0947 Hz
Again, you can use the equation:
c = λ * v
Rearranging the equation to solve for wavelength (λ), you get:
λ = c / v
Plugging in the speed of light and the frequency into the equation:
λ = (3 x 10^8 m/s) / (0.0947 Hz)
λ ≈ 3.17 x 10^9 m
Therefore, the wavelength of the broadcast is approximately 3.17 x 10^9 meters.
For the third question, you are given the frequency of the electromagnetic radiation (7.11 x 10^ Hz). Using the same equation:
c = λ * v
Rearranging the equation to solve for wavelength (λ):
λ = c / v
Plugging in the speed of light and the frequency into the equation:
λ = (3 x 10^8 m/s) / (7.11 x 10^ Hz)
λ ≈ 4.21 x 10^-8 m
Therefore, the wavelength of the electromagnetic radiation is approximately 4.21 x 10^-8 meters.