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Chapter 39: Q 6 Exercise (page 1136)

In one experiment, 6000 photons are detected in a O.10-mm- wide strip where the amplitude of the electromagnetic wave is 200 V/m. What is the wave amplitude at a nearby 0.20-mm-wide strip where 3000 photons are detected?

Short Answer

Expert verified

Hence, the wave amplitude at 0.20mm wide strip is100V/m

Step by step solution

01

Given information

In one experiment, 6000 photons are detected in a O.10-mm- wide strip where the amplitude of the electromagnetic wave is 200 V/m.

02

Explanation

The first strip's photon count is given by

N1=HI1δx1hf(1) 

Count for second strip is:

role="math" localid="1648587585729" N2=HI2δx2hf(2)

Dividing (1) by (2):

N1N2=HI1δx1HI2δx2=I1δx1I2δx2

03

Calculations 

We have the values as:

N1=6000,n2=3000,I1=2002,I2=?,δx1=0.1mmandδx2=0.2mm

Substituting the values,

60003000=2002×0.1I2×0.2I2=100V/m

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