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Chapter 38: Q 5 (page 1114)

You need to design a photodetector that can respond to the entire range of visible light. What is the maximum possible work function of the cathode?

Short Answer

Expert verified

The maximum possible Work function of the cathode will be 1.7724 eV

Step by step solution

01

Step 1. It is given that we need to design a photodetector that can respond to the entire range of visible light. 

We need to find out the maximum possible work function of the cathode.

02

Step 2. Using expression of work function.

E0=hf0

Visible region of light is from 400 nm to 700 nm.

So finding E0for 400 nm and 700 nm :

f0=cλ0E0=hcλ0For400nm,E0=6.63×10-34×3×108m/s400×10-9mE0=3.1018eVFor700nm,E0=6.63×10-34×3×108m/s700×10-9mE0=1.7724eV

Therefore the maximum possible Work function will be 1.7724 eV.

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Most popular questions from this chapter

A photoelectric-effect experiment finds a stopping potential of 1.56Vwhen light of 200nmis used to illuminate the cathode.

a. From what metal is the cathode made?

b. What is the stopping potential if the intensity of the light is doubled?

Consider a small virus having a diameter of 10 nm. The atoms of the intracellular fluid are confined within the virus. Suppose we model the virus as a 10-nm-long “box.” What is the ground state energy (in eV) of a sodium ion confined in this box?

In the atom interferometer experiment shown in Figure 38.13laser cooling techniques were used to cool a dilute vapor of sodium atoms to a temperature of 0.0010K=1.0mK. The ultracold atoms passed through a series of collimating apertures to form the atomic beam you see circling the figure from the left. The standing light waves were created from a laser beam with a wavelength of 590nm.

a. What is the rms speed vmeof a sodium atom (A-23)in a gas at this temperature 1.0mK?

b. By treating the laser beam as if it were a diffraction grating. cakculate the first-order diffraction angle of a sodium atom traveling with the rms speed of part a.

c. allow far apart are points Band Cif the second sanding wave is 10cmfrom the first?

d. Because interference is observed between the two paths, each individual atom is apparently present at both point Band point C. Describe, in your own words, what this experiment tells you about the nature of matter.

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