Question

What is the energy of a photon of microwave radiation with a frequency of 3.20 x 10 11 /s? KNOWNS UNKNOWN Frequency (ν) = 3.20 x 10 11 /s energy (E) = ? J h = 6.626 x 10 -34Js Calculate What equation should we use? Substitute the known values for ν and h into the equation and solve.

Answer 1

The energy of a microwave photon with a frequency of 3.20 x 10^11 Hz can be calculated using the formula E = hf, which results in an energy of 2.12032 x 10^-22 joules.

Step-by-step explanation:

To calculate the energy of a photon with a given frequency, we use the formula E = hf, where E represents the energy of the photon in joules (J), h is Planck's constant (6.626 x 10-34 J·s), and f is the frequency of the photon in hertz (Hz or s-1).

For a microwave photon with a frequency of 3.20 x 1011 /s:

• Frequency (ν) = 3.20 x 1011 /s
• Planck's constant (h) = 6.626 x 10-34 J·s

Let's substitute the known values into the formula:

E = hf = (6.626 x 10-34 J·s)(3.20 x 1011 Hz)

Now, doing the multiplication:

E = 2.12032 x 10-22 J

Hence, the energy of the microwave photon is 2.12032 x 10-22 joules.