what is the wavelength of radiation with a frequency of 1.50 times 10^13s-1? Does this radiationhave a longer or shorter wavelength than red light?
also... What is the energy of a photon of microwave radiation with a frequency of 3.20 times 10^11 s-1?
c = wavelength x frequency
c 3 x 10^8 m/s
E = hc/wavelength.
h = Planck's constant.
can you please try to explain this to me so i understand
What grade are you in? I need to know how to pitch it.
To find the wavelength of radiation, you can use the equation:
wavelength = speed of light / frequency
First, let's find the wavelength of the radiation with a frequency of 1.50 × 10^13 s^-1.
The speed of light is approximately 3.00 × 10^8 meters per second (m/s).
Using the formula, we can calculate the wavelength:
wavelength = (3.00 × 10^8 m/s) / (1.50 × 10^13 s^-1)
wavelength ≈ 2.00 × 10^-5 meters (or 20 micrometers)
Now, let's compare this wavelength to the wavelength of red light. Red light typically has a wavelength range of approximately 620 to 750 nanometers (1 nm = 10^-9 meters).
The wavelength of the radiation we calculated (2.00 × 10^-5 meters) is much longer than the wavelength of red light (~620-750 nm). Therefore, this radiation has a longer wavelength than red light.
Moving on to the second question:
To find the energy of a photon, you can use the equation:
energy = Planck's constant × frequency
The Planck's constant is approximately 6.63 × 10^-34 Joule-seconds (J·s).
Using the formula, we can calculate the energy of the photon:
energy = (6.63 × 10^-34 J·s) × (3.20 × 10^11 s^-1)
energy ≈ 2.12 × 10^-22 Joules (J)
Therefore, the energy of a photon of microwave radiation with a frequency of 3.20 × 10^11 s^-1 is approximately 2.12 × 10^-22 Joules (J).