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Chapter 38: Q22P (page 1182)

The wavelength associated with the cutoff frequency for silver is 325nm. Find the maximum kinetic energy of electrons ejected from a silver surface by ultraviolet light of wavelength 254nm.

Short Answer

Expert verified

The maximum kinetic energy is 1.07 eV.

Step by step solution

01

Identification of the given data:

The given data is listed below.

The wavelength of silver is λS=325nm

The wavelength of ultraviolet light isλU=254nm

02

Significance of the kinetic energy of a particle

The kinetic energy is a scalar and it is always positive or zero.

03

To determine the maximum kinetic energy of electrons ejected from a silver surface by ultraviolet light

The value of hc is define by,

hc = 1240 eV. nm

Now, kinetic energy is given by-

Kmax=Ephoton-ϕ=hcλU-hcλS

Substitute known values in the above equation.

Kmax=1240eV·nm254nm-1240eV·nm325nm=1.07eV

Hence, themaximum kinetic energy of electrons ejected from a silver surface by ultraviolet light is 1.07 eV.

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