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.

Wave length=speed of light/frequecy (speed of light=3x10^8) (answer 0.000000000122nm)