Dual Nature Of Radiation And Matter Ques 75

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

[1990]

(a) $1.72 \times 10^{31}$

(b) $1.327 \times 10^{25}$

(c) $1.327 \times 10^{37}$

(d) $1.327 \times 10^{45}$

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Answer:

Correct Answer: 75.(a)

Solution:

  1. (a) No. of photons emitted per sec,

$ \begin{aligned} n & =\frac{\text{ Power }}{\text{ Energy of photon }} \\ & =\frac{P}{h v}=\frac{10000}{6.6 \times 10^{-34} \times 880 \times 10^{3}} \\ & =1.72 \times 10^{31} \end{aligned} $