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).