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Chapter 39: Q 7 Exercise (page 1136)

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

Expert verified

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

Step by step solution

01

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.

02

Explanation

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

f=HI(x)δxhN

We have the values as:

A=10V/m,thereforeI=100v2/m2andδx=0.10mm.N=2000

Therefore,

f=Hδx×100h×2000

The number of photons is:

N2=HδxIfhN2=Hδx900Hδx×100h×2000

Substituting the values.

N2=9001002000N2=18000

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