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The threshold frequency of metal is 1.8 *10^14 calculate the maximum kinetic energy of photoelectron liberated when the metal is irradiated by an electromagnetic radiation of wavelength 4000 Armstrong?
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The threshold frequency of metal is 1.8 *10^14 calculate the maximum k...
Understanding the Photoelectric Effect
The photoelectric effect describes how electrons are emitted from a material when it absorbs light. The energy of the incoming photons must exceed a certain threshold frequency for electrons to be liberated.
Given Data
- Threshold frequency (ν₀) = 1.8 * 10^14 Hz
- Wavelength (λ) = 4000 Å = 4000 * 10^-10 m
Calculating Photon Energy
The energy (E) of a photon is given by the formula:
E = h * ν, where h is Planck's constant (6.63 * 10^-34 J·s).
First, we need to find the frequency (ν) corresponding to the given wavelength.
- ν = c / λ
- c = speed of light (3 * 10^8 m/s)
Calculating Frequency
- ν = (3 * 10^8 m/s) / (4000 * 10^-10 m)
- ν = 7.5 * 10^14 Hz
Calculating Photon Energy
Now, calculate the energy of the incoming photon using the frequency:
- E = h * ν
- E = (6.63 * 10^-34 J·s) * (7.5 * 10^14 Hz)
- E ≈ 4.973 * 10^-19 J
Maximum Kinetic Energy of Photoelectron
The maximum kinetic energy (K.E.) of the emitted photoelectron can be calculated using the equation:
K.E. = E - E₀, where E₀ is the energy corresponding to the threshold frequency (E₀ = h * ν₀).
- E₀ = (6.63 * 10^-34 J·s) * (1.8 * 10^14 Hz)
- E₀ ≈ 1.194 * 10^-19 J
Now, substituting values:
- K.E. = 4.973 * 10^-19 J - 1.194 * 10^-19 J
- K.E. ≈ 3.779 * 10^-19 J
Conclusion
The maximum kinetic energy of the photoelectron liberated when the metal is irradiated with electromagnetic radiation of wavelength 4000 Å is approximately 3.779 * 10^-19 J.
The photoelectric effect describes how electrons are emitted from a material when it absorbs light. The energy of the incoming photons must exceed a certain threshold frequency for electrons to be liberated.
Given Data
- Threshold frequency (ν₀) = 1.8 * 10^14 Hz
- Wavelength (λ) = 4000 Å = 4000 * 10^-10 m
Calculating Photon Energy
The energy (E) of a photon is given by the formula:
E = h * ν, where h is Planck's constant (6.63 * 10^-34 J·s).
First, we need to find the frequency (ν) corresponding to the given wavelength.
- ν = c / λ
- c = speed of light (3 * 10^8 m/s)
Calculating Frequency
- ν = (3 * 10^8 m/s) / (4000 * 10^-10 m)
- ν = 7.5 * 10^14 Hz
Calculating Photon Energy
Now, calculate the energy of the incoming photon using the frequency:
- E = h * ν
- E = (6.63 * 10^-34 J·s) * (7.5 * 10^14 Hz)
- E ≈ 4.973 * 10^-19 J
Maximum Kinetic Energy of Photoelectron
The maximum kinetic energy (K.E.) of the emitted photoelectron can be calculated using the equation:
K.E. = E - E₀, where E₀ is the energy corresponding to the threshold frequency (E₀ = h * ν₀).
- E₀ = (6.63 * 10^-34 J·s) * (1.8 * 10^14 Hz)
- E₀ ≈ 1.194 * 10^-19 J
Now, substituting values:
- K.E. = 4.973 * 10^-19 J - 1.194 * 10^-19 J
- K.E. ≈ 3.779 * 10^-19 J
Conclusion
The maximum kinetic energy of the photoelectron liberated when the metal is irradiated with electromagnetic radiation of wavelength 4000 Å is approximately 3.779 * 10^-19 J.
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The threshold frequency of metal is 1.8 *10^14 calculate the maximum kinetic energy of photoelectron liberated when the metal is irradiated by an electromagnetic radiation of wavelength 4000 Armstrong?
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The threshold frequency of metal is 1.8 *10^14 calculate the maximum kinetic energy of photoelectron liberated when the metal is irradiated by an electromagnetic radiation of wavelength 4000 Armstrong? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The threshold frequency of metal is 1.8 *10^14 calculate the maximum kinetic energy of photoelectron liberated when the metal is irradiated by an electromagnetic radiation of wavelength 4000 Armstrong? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The threshold frequency of metal is 1.8 *10^14 calculate the maximum kinetic energy of photoelectron liberated when the metal is irradiated by an electromagnetic radiation of wavelength 4000 Armstrong?.
The threshold frequency of metal is 1.8 *10^14 calculate the maximum kinetic energy of photoelectron liberated when the metal is irradiated by an electromagnetic radiation of wavelength 4000 Armstrong? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The threshold frequency of metal is 1.8 *10^14 calculate the maximum kinetic energy of photoelectron liberated when the metal is irradiated by an electromagnetic radiation of wavelength 4000 Armstrong? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The threshold frequency of metal is 1.8 *10^14 calculate the maximum kinetic energy of photoelectron liberated when the metal is irradiated by an electromagnetic radiation of wavelength 4000 Armstrong?.
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