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Chapter 38: Q26P (page 1182)

An orbiting satellite can charge by the photoelectric effect when sunlight ejects electrons from its outer surface. Satellites must be designed to minimize such charging because it can ruin the sensitive microelectronics. Suppose a satellite is coated with platinum, a metal with a very large function (蠒=5.32eV). Find the longest wavelength of incident sunlight that can eject an electron from the platinum.

Short Answer

Expert verified

The value of longest wavelength of incident sunlight is 233 nm.

Step by step solution

01

Identification of the given data

The given data is listed below as-

The work function is 蠒=5.32eV

02

Significance of the photoelectric equation.

The photoelectric equation which is used to find the wavelength is given by-

hc位=蠒+Km

Here, the work function depends on the material and condition of the surface and not on the wavelength of incident light.

03

To determine a value of the longest wavelength of incident sunlight

The value of maximum kinetic energy of a photon is assumed as zero to find the longest wavelength of incident sunlight i.e., Kmax=0

Therefore, the photoelectric equation is given by-

hc位=蠒+Kmax

Now, Kmax=0

Therefore, hc位max=蠒

Substitute for, hc = 1240 eV.nm, 蠒=5.32nmin the above equation.

位max=hc蠒=1240eV.nm5.32nm=233nm

Thus, the value of the longest wavelength of incident sunlight is 233 nm.

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