Chapter 29, Problem 17PE

### College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000

Chapter
Section

### College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000
Textbook Problem

# (a) Calculate the number of photoelectrons per second ejected from a 1.00-mm2 area of sodium metal by 500-nm M radiation having an intensity of 1.30 kW/m2 (the intensity of sunlight above the Earth's atmosphere). (b) Given that the binding energy is 2.28 eV, what power is carried away by the electrons? (c) The electrons carry away less power than brought in by the photons. Where does the other power go? How can it be recovered?

To determine

(a)

The number of photoelectrons ejected per second.

Explanation

Given:

Wavelength of radiation =Î»=500Â nmÂ =Â 500Ã—10âˆ’9Â m

Number of photons per sec = number of electrons ejected per sec =n

Intensity of radiation =I=1.30Â kWm2Â =Â 1300Â Wm2

Area =A=1Â mm2Â =Â 1Ã—10âˆ’6Â m2Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â (sinceÂ 1Â mm2=10âˆ’6Â m2Â )

Plank's constant =h=6.63Ã—10âˆ’34Â Js

Speed of photon =c=3Ã—108Â ms

Formula Used:

(b)

To determine

Power carried away by the electrons.

(c)

To determine

Where does the other power go and how can it be recovered.

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