Question

A radio transmitter operates at a frequency of 880 kHz and power of 10 kW. The number of photons emitted per second is :

• A. $13.27\times {10}^4$
• B. $13.27\times {10}^{34}$
• C. $1327\times {10}^{34}$
• D. $1.71\times {10}^{31}$

Answer 1

The correct option is D $1.71\times {10}^{31}$

Power of transmitter $P=10kW=10\times {10}^{3}W$

Frequency of the transmitter $\nu =880kHz=880\times {10}^{3}Hz$

Number of photons emitted per second

$N=\frac{P}{h\nu }=\frac{10\times {10}^3}{6.6\times {10}^{-34}\times 880\times {10}^3}$

$N=1.71\times {10}^{31}$ photons emitted per second.