Answer:
6.9 × 10²⁹ photons
Explanation:
Given:
Frequency, υ = 98.4 MHz = 98.4 × 10⁶ Hz
Power, P = 45 kW = 45000 J/sec
Now,
The total energy in time, t = 1 second
E = P × t = 45000 J/sec × 1 s
or
Energy = 45000 J
also,
Energy of photons = hυ
Where, h is the Plank's constant
or
Energy of photons = 6.625 × 10⁻³⁴ × 98.4 × 10⁶
or
Energy of photons = 6.519 × 10⁻²⁶ J
Now,
number of photons = [tex]\frac{\textup{Total Energy}}{\textup{Energy of Photon}}[/tex]
or
n = [tex]\frac{45000}{6.519\times10^{-26}}[/tex]
or
n = 6.9 × 10²⁹ photons