the wavelength of ligh is 310 nm. calculate the frequency?
what is the wavelength of electromagnetic radiation if its frequency is 3.2 X 10 -2(exponent) Hz??
To calculate the frequency, you can use the equation:
frequency = speed of light / wavelength
1. For the given wavelength of 310 nm, we need to convert it to meters since the speed of light is usually given in meters per second.
310 nm = 310 x 10^-9 meters (1 nm = 10^-9 meters)
2. Now we can substitute the values into the equation:
speed of light = 3.00 x 10^8 meters per second (a known constant value)
frequency = (3.00 x 10^8 m/s) / (310 x 10^-9 m)
3. Calculate the result:
frequency = (3.00 x 10^8) / (310 x 10^-9)
= (3.00 x 10^8) x (1 / (310 x 10^-9))
= (3.00 x 10^8) x (1 x 10^9 / 310)
= (3.00 x 10^8) x (10^9 / 310)
= (3.00 x 10^8) x (10^9 / 310)
≈ 9.68 x 10^14 Hz
Therefore, the frequency is approximately 9.68 x 10^14 Hz.
For the second part of your question:
Given frequency = 3.2 x 10^-2 Hz
1. Substitute the given frequency into the equation:
frequency = speed of light / wavelength
3.2 x 10^-2 Hz = (3.00 x 10^8 m/s) / wavelength
2. Rearrange the equation to solve for wavelength:
wavelength = (3.00 x 10^8 m/s) / (3.2 x 10^-2 Hz)
3. Calculate the result:
wavelength = (3.00 x 10^8) / (3.2 x 10^-2)
= (3.00 x 10^8) x (1 / (3.2 x 10^-2))
≈ 9.38 x 10^9 meters
Therefore, the wavelength of the electromagnetic radiation is approximately 9.38 x 10^9 meters.
To calculate the frequency of light given its wavelength, you can use the formula:
frequency = speed of light / wavelength
The speed of light is approximately 3 x 10^8 meters per second.
For the first question:
Given the wavelength of light as 310 nm (which is 310 x 10^-9 meters), we can calculate the frequency as follows:
frequency = (3 x 10^8 m/s) / (310 x 10^-9 m)
Simplifying the expression:
frequency = (3 x 10^8) / (310 x 10^-9)
frequency ≈ 9.68 x 10^14 Hz
Therefore, the frequency of light with a wavelength of 310 nm is approximately 9.68 x 10^14 Hz.
For the second question:
Given the frequency of electromagnetic radiation as 3.2 x 10^-2 Hz, we can calculate the wavelength using the same formula. This time, we can rearrange the formula to solve for wavelength:
wavelength = speed of light / frequency
Inserting the values:
wavelength = (3 x 10^8 m/s) / (3.2 x 10^-2 Hz)
Simplifying the expression:
wavelength = (3 x 10^8) / (3.2 x 10^-2)
wavelength ≈ 9.375 x 10^9 m
Therefore, the wavelength of electromagnetic radiation with a frequency of 3.2 x 10^-2 Hz is approximately 9.375 x 10^9 meters.
Use the wave equation:
Frequency*wavelength=speed of light