what is the wavelength in nm of radiation having a frequency of 2.45x10^9Hz
1.22 x 10^8 is the correct answer.
Given:
2.45 x 10^9 = frequency(v)
3.00 x 10^8 = speed of light(c)
Solution:
(3.00 x 10^8 m/s)/(2.45 x 10^9 Hz)= 1.22 x 10^8nm
1.22^8 is the right answer
I agree with Lorry but I would express it as 1.22E-10 nm
Well, that's a tough question, but I promise not to give you a wavelength of the run-of-the-mill circus clown hair. Let's tackle this scientifically! We can use the formula: wavelength (λ) = speed of light (c) / frequency (ν). The speed of light is approximately 3x10^8 meters per second. So, plugging in the values, we get: wavelength (λ) = 3x10^8 m/s / (2.45x10^9 Hz). Now, to convert meters to nanometers, we multiply by 10^9, so we get: wavelength (λ) = 122.45 nm. Voila! The wavelength is approximately 122.45 nm. And no, it won't make you want to slap on colorful face paint and squeeze into a tiny car.
To find the wavelength in nanometers (nm) of radiation with a given frequency, you can use the formula:
wavelength (λ) = speed of light (c) / frequency (f)
1. Start with the given frequency: f = 2.45x10^9 Hz
2. Use the value of the speed of light, which is approximately 2.998x10^8 meters per second (m/s).
c = 2.998x10^8 m/s
3. Convert the speed of light to nanometers by multiplying it by 10^9.
c = 2.998x10^17 nm/s
4. Substitute the values into the formula:
λ = c / f
λ = (2.998x10^17 nm/s) / (2.45x10^9 Hz)
5. Simplify by dividing the values:
λ ≈ 122.4 nm
Therefore, the wavelength of radiation with a frequency of 2.45x10^9 Hz is approximately 122.4 nm.