JEE Exam > JEE Questions > The threshold frequency of metal is 1.8 *10^1...
Start Learning for Free
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?
Most Upvoted Answer
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.
Attention JEE Students!
To make sure you are not studying endlessly, EduRev has designed JEE study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in JEE.
|
Explore Courses for JEE exam
|
|
Similar JEE Doubts
Top Courses for JEEView all
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?
Question Description
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?.
Solutions 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? in English & in Hindi are available as part of our courses for JEE.
Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of 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? defined & explained in the simplest way possible. Besides giving the explanation of
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?, a detailed solution 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? has been provided alongside types of 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? theory, EduRev gives you an
ample number of questions to practice 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? tests, examples and also practice JEE tests.
|
|
Explore Courses for JEE exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup