High School

An FM radio station of frequency 98.1 MHz puts out a signal of 50,000 W. How many photonss are emitted?

a) 2.84 × 10²⁵
b) 1.42 × 10²⁵
c) 5.67 × 10²⁵
d) 7.50 × 10²⁵

Answer :

Final answer:

To calculate the number of photons emitted per second by a 50,000 W FM radio station broadcasting at 98.1 MHz, use the formula involving Planck's constant and frequency to find an approximate value of b) 1.42 x 10^25 photons emitted per second.

Explanation:

An FM radio station broadcasts at a frequency of 98.1 MHz and emits a signal of 50,000 W. To calculate the number of photons emitted per second, we need to use the formula:

Number of photons emitted per second = Power / Energy per photon

Energy per photon = Planck's constant × frequency

After substituting the values, the number of photons emitted per second is approximately 1.42 x 10^25, corresponding to answer option b).