An FM radio station of frequency 107.7MHz puts out a signal of 50,000W. How many photons/s are emitted?
energy=number(plancks constant)*frequency
now you have an issue with the problem. Power emitted is given, so you cannot find the number of photons,so number is actually going to be number of photons per second
power=photons/second* plancksconst*freq
To determine the number of photons emitted per second by an FM radio station, we need to use the equation that relates power to the number of photons. This equation is given by:
Number of photons per second = Power / Energy of a single photon
The energy of a single photon can be calculated using the equation:
Energy of a single photon = Planck's constant * Frequency
Where Planck's constant is approximately 6.626 × 10^(-34) joule-seconds, and the frequency is given as 107.7 MHz, which can be converted to 107.7 × 10^6 Hz.
Let's calculate it step by step:
Step 1: Convert the frequency from MHz to Hz.
107.7 MHz = 107.7 × 10^6 Hz
Step 2: Calculate the energy of a single photon.
Energy of a single photon = 6.626 × 10^(-34) J·s * 107.7 × 10^6 Hz
Step 3: Calculate the number of photons per second.
Number of photons per second = 50,000 W / (6.626 × 10^(-34) J·s * 107.7 × 10^6 Hz)
Now, let's do the calculations:
Number of photons per second = 50,000 W / (6.626 × 10^(-34) J·s * 107.7 × 10^6 Hz)
After performing the calculations, the answer will be the number of photons emitted per second by the FM radio station.