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Chapter 38: Q16P (page 1182)

Find the maximum kinetic energy of electrons ejected from a certain material if the material’s work function is 2.3 eV and the frequency of the incident radiation is 3.0×1015Hz.

Short Answer

Expert verified

The maximum kinetic energy is 10.13 eV.

Step by step solution

01

Describe the equation of photoelectric emission:

The equation of photoelectric emission is given by,

hf=Kmax+Φ ….. (1)

Here, h is the Planck’s constant, f is frequency, Φis work function, and Kmax is the maximum kinetic energy.

02

Determine the maximum kinetic energy of electrons:

Hence, the maximum kinetic energy is 10.13 eV.

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Most popular questions from this chapter

Assuming that your surface temperature is98.6° Fand that you are an ideal blackbody radiator (you are close), find

(a) the wavelength at which your spectral radiancy is maximum,

(b) the power at which you emit thermal radiation in a wavelength range of 1.00 nmat that wavelength, from a surface area of4.00 cm2, and

(c) the corresponding rate at which you emit photons from that area. Using a wavelength of500 nm (in the visible range),

(d) recalculate the power and

(e) the rate of photon emission. (As you have noticed, you do not visibly glow in the dark.)

A satellite in Earth orbit maintains a panel of solar cells of area 2.60m2perpendicular to the direction of the Sun’s light rays. The intensity of the light at the panel is 1.39kW/m2. (a) At what rate does solar energy arrive at the panel? (b) At what rate are solar photons absorbed by the panel? Assume that the solar radiation is monochromatic, with a wavelength of 550 nm, and that all the solar radiation striking the panel is absorbed. (c) How long would it take for a “mole of photons” to be absorbed by the panel?

Imagine playing baseball in a universe (not ours!) where the Planck constant is 0.60 J.s, and thus quantum physics affects macroscopic objects. What would be the uncertainty in the position of a 0.50 kg baseball that is moving at 20 m/s along an axis if the uncertainty in the speed is 1.0 m/s?

Calculate the percentage change in photon energy during collision like that in Fig. 38-5 forϕ=90∘ and for radiation in

(a) the microwave range, withλ=3.0 cm ;

(b) the visible range, with λ=500 nm;

(c) the x-ray range, withλ=25 pm ; and

(d) the gamma-ray range, with a gamma photon energy of 1.0 MeV.

(e) What are your conclusions about the feasibility of detecting the Compton shift in these various regions of the electromagnetic spectrum, judging solely by the criterion of energy loss in a single photon-electron encounter?

A photon undergoes Compton scattering off a stationary free electron.

The photon scatters at90.0° from its initial direction;

its initial wavelength is3×10-12 m . What is the electron’s kinetic energy?
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