A radio wave has a frequency of 3.6 x 10^10 Hz. What is the energy (in J) of one photon of this radiation?

E = h*frequency

To calculate the energy of one photon of radiation, we can use the equation E = hf, where E is the energy, h is Planck's constant (6.626 x 10^-34 J·s), and f is the frequency.

Given:
Frequency (f) = 3.6 x 10^10 Hz

Using the equation E = hf:

E = (6.626 x 10^-34 J·s) × (3.6 x 10^10 Hz)

Step 1: Multiply the values inside the brackets:

E = 2.376 x 10^-23 J·Hz

Step 2: Rearrange the units to J:

E = 2.376 x 10^-23 J

Therefore, the energy of one photon of this radiation is 2.376 x 10^-23 J.

To calculate the energy of one photon of radiation, you can use the equation:

E = h * f

where E is the energy of the photon, h is the Planck's constant (6.62607015 x 10^⁻34 J·s), and f is the frequency of the radiation.

First, let's convert the given frequency to Hz:

3.6 x 10^10 Hz

Now, substitute the values into the equation:

E = (6.62607015 x 10^⁻34 J·s) * (3.6 x 10^10 Hz)

Multiply the numbers:

E = 2.376185654 x 10^⁻23 J

Therefore, the energy of one photon of this radiation is approximately 2.376185654 x 10^⁻23 Joules (J).