Concept explainers
(a)
Interpretation:
The wavelength of the ejected electron having wavelength of
Concept Introduction:
de Broglie relation:
Mathematically, de Broglie relation can be represented as given below.
Where,
(a)
Answer to Problem 1B.15E
The wavelength of the ejected electron having wavelength of
Explanation of Solution
Given that, the velocity of electron is
The de Broglie relation is given below.
By plugging all data in the above equation, the value of wavelength of the electron can be calculated.
Therefore, the wavelength of the ejected electron having wavelength of
(b)
Interpretation:
The energy required to remove the electron from the metal has to be calculated.
Concept Introduction:
Energy of a photon can be expressed mathematically as given below.
Where, h is the Planck’s constant,
(b)
Answer to Problem 1B.15E
The energy required to remove the electron from the metal is
Explanation of Solution
Given that, the frequency of the radiation is
Therefore, the energy required to remove the electron from the metal is
(c)
Interpretation:
The wavelength of the radiation that caused photoejection of electron with a velocity of
Concept Introduction:
If the energy of the photon is greater than work function, then an electron can be ejected with a kinetic energy,
Where,
(c)
Answer to Problem 1B.15E
The wavelength of the radiation that caused photoejection of electron is
Explanation of Solution
Given that, the speed of an electron that is emitted from the surface of a sample of chromium metal by a photon is
The expression of kinetic energy is given below.
Where,
By plugging all data in the above equation, the value of kinetic energy can be calculated.
The energy of incoming photon can be calculated as given below.
By plugging all data in the above equation, the energy of incoming photon can be calculated.
Therefore, the wavelength of the radiation that caused photoejection of electron is
(d)
Interpretation:
The kind of
Concept Introduction:
The wavelengths of electromagnetic radiation and their corresponding frequencies are given below in the table.
Radiation type | Frequency / | Wavelength / | Energy of photon / |
x-rays and | |||
Ultraviolet | |||
Visible light | |||
Violet | |||
Blue | |||
Green | |||
Yellow | |||
Orange | |||
Red | |||
Infrared | |||
Microwaves and radio waves |
(d)
Explanation of Solution
The wavelength of the radiation that caused photoejection of electron is
Therefore, the kind of electromagnetic radiation used is X- rays.
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Chapter 1 Solutions
Chemical Principles: The Quest for Insight
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