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When light radiation wavelength (lambda)is incidented photoelectric effect takes place ,now wavelength of light becomes 4 (lambda) and maximum kinetics energy of emitted photo electron becomes 1/3rd of initial.find threshold wavelength?
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When light radiation wavelength (lambda)is incidented photoelectric ef...
Kmax=hc/l -W0 [l=lambda] -[1]
in the new condition, Kmax=hc/4l-W0-[2], solving eq. 1 and 2 we get W0= -hc/8l
. For finding threshold wavelength, Kmax=0 thus, threshold wavelength be L ,hc/L=
Wo
Wo
putting value of known W0,we get L=8l
Community Answer
When light radiation wavelength (lambda)is incidented photoelectric ef...
Introduction:
The photoelectric effect refers to the emission of electrons from a material when light radiation of a certain wavelength is incident upon it. This effect can be explained using the equation:
E = hf = hc/λ
where E is the energy of a photon, h is Planck's constant, f is the frequency of the radiation, c is the speed of light, and λ is the wavelength of the radiation.
Given:
- Initial wavelength of light radiation (λ) = λ
- New wavelength of light radiation = 4λ
- Maximum kinetic energy of emitted photoelectron = 1/3 of initial kinetic energy
Step 1: Calculate the initial energy of a photon:
Using the equation E = hf, we can express the energy of a photon in terms of its frequency:
E = hc/λ
Step 2: Calculate the initial kinetic energy of the emitted photoelectron:
The maximum kinetic energy of the emitted photoelectron can be calculated using the equation:
KEmax = E - W
where KEmax is the maximum kinetic energy, E is the energy of a photon, and W is the work function of the material.
Step 3: Calculate the new energy of a photon:
Since the new wavelength of light radiation is 4λ, the new energy of a photon can be calculated using the equation E = hc/(4λ).
Step 4: Calculate the new kinetic energy of the emitted photoelectron:
The new kinetic energy of the emitted photoelectron can be calculated using the equation:
KEmax' = E' - W
where KEmax' is the new maximum kinetic energy, E' is the new energy of a photon, and W is the work function of the material.
Step 5: Equate the initial and new kinetic energies:
Since the new kinetic energy is 1/3 of the initial kinetic energy, we can equate the two expressions:
KEmax = (1/3) * KEmax'
Step 6: Calculate the threshold wavelength:
The threshold wavelength is the minimum wavelength of light radiation required to emit a photoelectron. It can be calculated using the equation:
λthreshold = hc/KEmax'
Conclusion:
By following the above steps, we can calculate the threshold wavelength. The detailed explanation provides a systematic approach to solving the given problem.
The photoelectric effect refers to the emission of electrons from a material when light radiation of a certain wavelength is incident upon it. This effect can be explained using the equation:
E = hf = hc/λ
where E is the energy of a photon, h is Planck's constant, f is the frequency of the radiation, c is the speed of light, and λ is the wavelength of the radiation.
Given:
- Initial wavelength of light radiation (λ) = λ
- New wavelength of light radiation = 4λ
- Maximum kinetic energy of emitted photoelectron = 1/3 of initial kinetic energy
Step 1: Calculate the initial energy of a photon:
Using the equation E = hf, we can express the energy of a photon in terms of its frequency:
E = hc/λ
Step 2: Calculate the initial kinetic energy of the emitted photoelectron:
The maximum kinetic energy of the emitted photoelectron can be calculated using the equation:
KEmax = E - W
where KEmax is the maximum kinetic energy, E is the energy of a photon, and W is the work function of the material.
Step 3: Calculate the new energy of a photon:
Since the new wavelength of light radiation is 4λ, the new energy of a photon can be calculated using the equation E = hc/(4λ).
Step 4: Calculate the new kinetic energy of the emitted photoelectron:
The new kinetic energy of the emitted photoelectron can be calculated using the equation:
KEmax' = E' - W
where KEmax' is the new maximum kinetic energy, E' is the new energy of a photon, and W is the work function of the material.
Step 5: Equate the initial and new kinetic energies:
Since the new kinetic energy is 1/3 of the initial kinetic energy, we can equate the two expressions:
KEmax = (1/3) * KEmax'
Step 6: Calculate the threshold wavelength:
The threshold wavelength is the minimum wavelength of light radiation required to emit a photoelectron. It can be calculated using the equation:
λthreshold = hc/KEmax'
Conclusion:
By following the above steps, we can calculate the threshold wavelength. The detailed explanation provides a systematic approach to solving the given problem.
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When light radiation wavelength (lambda)is incidented photoelectric effect takes place ,now wavelength of light becomes 4 (lambda) and maximum kinetics energy of emitted photo electron becomes 1/3rd of initial.find threshold wavelength?
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When light radiation wavelength (lambda)is incidented photoelectric effect takes place ,now wavelength of light becomes 4 (lambda) and maximum kinetics energy of emitted photo electron becomes 1/3rd of initial.find threshold wavelength? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about When light radiation wavelength (lambda)is incidented photoelectric effect takes place ,now wavelength of light becomes 4 (lambda) and maximum kinetics energy of emitted photo electron becomes 1/3rd of initial.find threshold wavelength? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for When light radiation wavelength (lambda)is incidented photoelectric effect takes place ,now wavelength of light becomes 4 (lambda) and maximum kinetics energy of emitted photo electron becomes 1/3rd of initial.find threshold wavelength?.
When light radiation wavelength (lambda)is incidented photoelectric effect takes place ,now wavelength of light becomes 4 (lambda) and maximum kinetics energy of emitted photo electron becomes 1/3rd of initial.find threshold wavelength? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about When light radiation wavelength (lambda)is incidented photoelectric effect takes place ,now wavelength of light becomes 4 (lambda) and maximum kinetics energy of emitted photo electron becomes 1/3rd of initial.find threshold wavelength? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for When light radiation wavelength (lambda)is incidented photoelectric effect takes place ,now wavelength of light becomes 4 (lambda) and maximum kinetics energy of emitted photo electron becomes 1/3rd of initial.find threshold wavelength?.
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