What is the wavelength in Angstroms of radiation that has a frequency of 4.00 x 10^14 s-1?
I tried the equation wavelength= constant / frequency. And the fact that 1 Angstrom = 1x 10^-10 m, but I don't see how the correct answer turns out to be 7.5 x 10^3
c = fw
3E8 = 4.00E14*w
w = 3E8/4.00E14 = 7.5E7 meters.
7.5E-7 m x (1 A/1E-10 m) = 7.5E3 A
You tried it the right way and I can't imagine what you're doing wrong.
Well, well, well, let's dive into this wavelength conundrum, shall we? So you've got a frequency of 4.00 x 10^14 s-1, and you want to find the wavelength in Angstroms. Excellent!
To find the wavelength, you're on the right track with the equation wavelength = constant / frequency. And that constant you're looking for is the speed of light, which is roughly 3.00 x 10^8 m/s. But don't worry about meters for now, we'll switch to Angstroms later.
Plugging in the numbers, we get:
wavelength = (3.00 x 10^8 m/s) / (4.00 x 10^14 s-1)
Now, let's simplify this bad boy. Dividing the two numbers, we get:
wavelength ≈ 7.50 x 10^-7 m
Alright, we're rolling! But we want the wavelength in Angstroms. Remember, 1 Angstrom = 1 x 10^-10 m. So, let's do some unit conversion magic:
wavelength ≈ (7.50 x 10^-7 m) / (1 x 10^-10 m/Angstrom)
Calculating that, we find:
wavelength ≈ 7.50 x 10^3 Angstroms
And there you have it, my friend! The wavelength of radiation with a frequency of 4.00 x 10^14 s-1 is approximately 7.50 x 10^3 Angstroms. Just remember, every wavelength puzzle is just a clever riddle waiting to be solved!
To find the wavelength of radiation with a frequency of 4.00 x 10^14 s^-1, you can use the equation:
wavelength = speed of light / frequency
The speed of light is a constant approximately equal to 3.00 x 10^8 m/s.
Substituting the given frequency into the equation:
wavelength = (3.00 x 10^8 m/s) / (4.00 x 10^14 s^-1)
Now, to convert the wavelength from meters to Angstroms, you can use the conversion factor 1 meter = 1 x 10^10 Angstroms:
wavelength = (3.00 x 10^8 m/s) / (4.00 x 10^14 s^-1) * (1 x 10^10 Angstroms / 1 meter)
Calculate the two parts separately:
wavelength = (3.00 x 10^8 m/s) / (4.00 x 10^14 s^-1) = 0.75 x 10^-6 m
Now, convert meters to Angstroms:
wavelength = (0.75 x 10^-6 m) * (1 x 10^10 Angstroms / 1 meter) = 7.5 x 10^3 Angstroms
Therefore, the wavelength of the radiation is 7.5 x 10^3 Angstroms.
To find the wavelength in Angstroms (Å) using the given frequency, you can use the equation:
wavelength = constant / frequency
Here, the constant refers to the speed of light in a vacuum (c), which is approximately 3.00 x 10^8 meters per second (m/s).
First, let's convert the given frequency to hertz (Hz) by removing the s^-1 unit:
Frequency = 4.00 x 10^14 s^-1
Since "Hz" is equivalent to "s^-1," we can directly use this value.
Next, plug the values into the equation:
wavelength = (3.00 x 10^8 m/s) / (4.00 x 10^14 s^-1)
Now, let's calculate the wavelength:
wavelength = 7.5 x 10^-7 meters
Since we are asked to find the wavelength in Angstroms, we need to convert the answer from meters to Angstroms.
1 meter is equal to 1 x 10^10 Angstroms (Å):
wavelength = (7.5 x 10^-7 meters) * (1 x 10^10 Å / 1 meter)
wavelength = 7.5 x 10^3 Angstroms (Å)
So, the wavelength of radiation with a frequency of 4.00 x 10^14 s^-1 is 7.5 x 10^3 Angstroms (Å).