Question

A TV station is operated at 100 MW with a signal frequency of 10 MHz. Calculate the number of photons radiated per second by its antenna.​

Answer 1

Answer:

$1.5\times 10^{-34}$

Explanation:

Given,

Power rating of T.V = 100 MW

                                 $=\ 100\times 10^6\ W$

Energy rating in 1 sec,

$E\ =\ 100\times 10^6\ J$

Signal frequency, f = 10 MHz

                                $=\ 10\times 10^6\ Hz$

Since,

$E\ =\ nhf$

where, h = Planck's constant

            n = number of photons

            f = frequency

   $100\times 10^6\ =\ n.6.626176\times 10^{-34}\times 10\times 10^6$

$=>\ n\ =\ \dfrac{10}{6.626176\times 10^{-34}}$

         $=\ 1.5\times 10^{-34}$

Hence, the total number of photons emitted per second is $1.5\times 10^{-34}.$