Question

In one experiment, 2000 photons are detected in a 0.10-mm- wide strip where the amplitude of the electromagnetic wave is 10 V/m. How many photons are detected in a nearby 0.10-mm- wide strip where the amplitude is 30 V/m?

Short answer

Therefore 18000 photons are detected in a nearby 0.10 mm wide strip.

Step-by-step solution

Given information

In one experiment, 2000 photons are detected in a 0.10-mm- wide strip where the amplitude of the electromagnetic wave is 10 V/m.

Explanation

Assume that f is the light's frequency and H is the strip's height. So we have:

$f=\frac{HI\left(x\right)\delta x}{hN}$

We have the values as:

$A=10\mathrm{V}/\mathrm{m},\text{therefore}I=100{\mathrm{v}}^2/{\mathrm{m}}^2\text{and}\delta x=0.10\mathrm{mm}.N=2000$

Therefore,

$f=\frac{H\delta x\times 100}{h\times 2000}$

The number of photons is:

$$\begin{gathered} N_2=\frac{H\delta xI}{fh} \\ {N}_2=\frac{H\delta x900}{\frac{H\delta x\times 100}{h\times 2000}} \end{gathered}$$

Substituting the values.

$$\begin{gathered} N_2=\frac{900}{100}2000 \\ {N}_2=18000 \end{gathered}$$