a) What is the frequency of a photon of UV radiation ( = 2.00 x 10^-7 m)? (b) Calculate the energy of a photon of UV radiation.
(C) What is the frequency of a photon of infrared radiation ( = 1.083 x 10^-6 m)?
(d) Calculate the energy of a photon of infrared radiation. (e) How many times greater is the energy of a photon of ultraviolet radiation than
the energy of an average photon of infrared radiation?
a) To find the frequency of a photon of UV radiation, you can use the formula:
frequency = speed of light / wavelength
The speed of light is a constant value, which is approximately 3.00 x 10^8 m/s.
Using the given wavelength of UV radiation as 2.00 x 10^-7 m, you can now substitute these values into the formula:
frequency = (3.00 x 10^8 m/s) / (2.00 x 10^-7 m)
Calculating this expression will give you the frequency of the UV radiation photon.
b) To calculate the energy of a photon of UV radiation, you can use the formula:
energy = Planck's constant x frequency
Planck's constant, denoted by h, is approximately 6.626 x 10^-34 J·s.
Now, substitute the calculated frequency from part (a) into the formula:
energy = (6.626 x 10^-34 J·s) x (calculated frequency)
Calculating this expression will give you the energy of the UV radiation photon.
c) Similar to part (a), to find the frequency of a photon of infrared radiation, you again use the formula:
frequency = speed of light / wavelength
Using the given wavelength of infrared radiation as 1.083 x 10^-6 m, you can substitute these values into the formula:
frequency = (3.00 x 10^8 m/s) / (1.083 x 10^-6 m)
Calculating this expression will give you the frequency of the infrared radiation photon.
d) To calculate the energy of a photon of infrared radiation, you again use the formula:
energy = Planck's constant x frequency
Substitute the calculated frequency from part (c) into the formula:
energy = (6.626 x 10^-34 J·s) x (calculated frequency)
Calculating this expression will give you the energy of the infrared radiation photon.
e) To determine how many times greater the energy of a UV photon is than the energy of an infrared photon, you can divide the energy of the UV photon by the energy of the infrared photon.
Calculate the ratio by dividing the energy of the UV photon (obtained from part b) by the energy of the infrared photon (obtained from part d). This will give you the answer.