Question

A radio station emits $10kW$ power of $90.8MHz$. Find the number of photons emitted per second

• A. $1.6\times {10}^{28}$
• B. $1.6\times {10}^{29}$
• C. $1.6\times {10}^{30}$
• D. $1.6\times {10}^{32}$

Answer 1

Answer: (B)

$1.6\times {10}^{29}$

We have, number of the photons emitted per sec,
$N=\frac{Power}{EnergyofthePhoton}=\frac{P}{h\nu }$

$\Rightarrow N=\frac{10\times {10}^3}{6.626\times {10}^{-34}\times 90.8\times {10}^6}$

$\Rightarrow N=1.6\times {10}^{29}$ photons per sec