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According to wave theory of light, the light of any frequency can emit electrons from metallic surface provided the intensity of light be sufficient to provide necessary energy for emission of electrons, but according to experimental observations, the light of frequency less than threshold frequency can not emit electrons; whatever be the intensity of incident light. Einstein also proposed that electromagnetic radiation is quantised.
If photoelectrons are ejected from a surface when light of wavelength λ1 = 550 nm is incident on it. The stopping potential for such electrons is Vs =0.19 . Suppose the radiation of wavelength λ2 = 190 nm is incident on the surface.
Q. Calculate the work function of the surface.
- a)3.75
- b)2.07
- c)4.20
- d)3.60
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
According to wave theory of light, the light of any frequency can emi...
Using eVs = hc/λ − ϕ
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where ϕ is the work function of metal, hc = 1241 eV if wavelength is put in nm.
Case 1: λ = 550 nm Vs = 0.19 V
∴ 0.19 eV= 1241/550 eV − ϕ
Or 0.19 eV = 2.256 eV − ϕ
⟹ ϕ = 2.07 eV
Most Upvoted Answer
According to wave theory of light, the light of any frequency can emi...
Explanation:
According to the wave theory of light, the intensity of light should be sufficient to provide the necessary energy for the emission of electrons. However, according to experimental observations, light of frequency less than the threshold frequency cannot emit electrons, regardless of the intensity of the incident light. This discrepancy between theory and observation was resolved by Einstein's proposal that electromagnetic radiation is quantized.
The stopping potential is the minimum potential required to stop the emission of photoelectrons. It is directly related to the maximum kinetic energy of the emitted photoelectrons. The work function (Φ) of a surface is the minimum energy required to remove an electron from the surface.
To calculate the work function, we can use the formula:
Φ = eVs / λ
Where:
- Φ is the work function
- e is the elementary charge (1.6 x 10^-19 C)
- Vs is the stopping potential
- λ is the wavelength of the incident light
Given:
λ1 = 550 nm = 550 x 10^-9 m
Vs = 0.19 V
Calculation:
Substituting the given values into the formula, we have:
Φ = (1.6 x 10^-19 C)(0.19 V) / 550 x 10^-9 m
Simplifying the expression, we get:
Φ = 2.07 eV
Therefore, the work function of the surface is 2.07 eV.
Final Answer:
The work function of the surface is 2.07 eV, which corresponds to option B.
According to the wave theory of light, the intensity of light should be sufficient to provide the necessary energy for the emission of electrons. However, according to experimental observations, light of frequency less than the threshold frequency cannot emit electrons, regardless of the intensity of the incident light. This discrepancy between theory and observation was resolved by Einstein's proposal that electromagnetic radiation is quantized.
The stopping potential is the minimum potential required to stop the emission of photoelectrons. It is directly related to the maximum kinetic energy of the emitted photoelectrons. The work function (Φ) of a surface is the minimum energy required to remove an electron from the surface.
To calculate the work function, we can use the formula:
Φ = eVs / λ
Where:
- Φ is the work function
- e is the elementary charge (1.6 x 10^-19 C)
- Vs is the stopping potential
- λ is the wavelength of the incident light
Given:
λ1 = 550 nm = 550 x 10^-9 m
Vs = 0.19 V
Calculation:
Substituting the given values into the formula, we have:
Φ = (1.6 x 10^-19 C)(0.19 V) / 550 x 10^-9 m
Simplifying the expression, we get:
Φ = 2.07 eV
Therefore, the work function of the surface is 2.07 eV.
Final Answer:
The work function of the surface is 2.07 eV, which corresponds to option B.
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According to wave theory of light, the light of any frequency can emit electrons from metallic surface provided the intensity of light be sufficient to provide necessary energy for emission of electrons, but according to experimental observations, the light of frequency less than threshold frequency can not emit electrons; whatever be the intensity of incident light. Einstein also proposed that electromagnetic radiation is quantised.If photoelectrons are ejected from a surface when light of wavelength λ1 = 550 nm is incident on it. The stopping potential for such electrons is Vs =0.19 . Suppose the radiation of wavelength λ2 = 190 nm is incident on the surface.Q. Calculate the work function of the surface.a)3.75b)2.07c)4.20d)3.60Correct answer is option 'B'. Can you explain this answer?
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According to wave theory of light, the light of any frequency can emit electrons from metallic surface provided the intensity of light be sufficient to provide necessary energy for emission of electrons, but according to experimental observations, the light of frequency less than threshold frequency can not emit electrons; whatever be the intensity of incident light. Einstein also proposed that electromagnetic radiation is quantised.If photoelectrons are ejected from a surface when light of wavelength λ1 = 550 nm is incident on it. The stopping potential for such electrons is Vs =0.19 . Suppose the radiation of wavelength λ2 = 190 nm is incident on the surface.Q. Calculate the work function of the surface.a)3.75b)2.07c)4.20d)3.60Correct answer is option 'B'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about According to wave theory of light, the light of any frequency can emit electrons from metallic surface provided the intensity of light be sufficient to provide necessary energy for emission of electrons, but according to experimental observations, the light of frequency less than threshold frequency can not emit electrons; whatever be the intensity of incident light. Einstein also proposed that electromagnetic radiation is quantised.If photoelectrons are ejected from a surface when light of wavelength λ1 = 550 nm is incident on it. The stopping potential for such electrons is Vs =0.19 . Suppose the radiation of wavelength λ2 = 190 nm is incident on the surface.Q. Calculate the work function of the surface.a)3.75b)2.07c)4.20d)3.60Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for According to wave theory of light, the light of any frequency can emit electrons from metallic surface provided the intensity of light be sufficient to provide necessary energy for emission of electrons, but according to experimental observations, the light of frequency less than threshold frequency can not emit electrons; whatever be the intensity of incident light. Einstein also proposed that electromagnetic radiation is quantised.If photoelectrons are ejected from a surface when light of wavelength λ1 = 550 nm is incident on it. The stopping potential for such electrons is Vs =0.19 . Suppose the radiation of wavelength λ2 = 190 nm is incident on the surface.Q. Calculate the work function of the surface.a)3.75b)2.07c)4.20d)3.60Correct answer is option 'B'. Can you explain this answer?.
According to wave theory of light, the light of any frequency can emit electrons from metallic surface provided the intensity of light be sufficient to provide necessary energy for emission of electrons, but according to experimental observations, the light of frequency less than threshold frequency can not emit electrons; whatever be the intensity of incident light. Einstein also proposed that electromagnetic radiation is quantised.If photoelectrons are ejected from a surface when light of wavelength λ1 = 550 nm is incident on it. The stopping potential for such electrons is Vs =0.19 . Suppose the radiation of wavelength λ2 = 190 nm is incident on the surface.Q. Calculate the work function of the surface.a)3.75b)2.07c)4.20d)3.60Correct answer is option 'B'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about According to wave theory of light, the light of any frequency can emit electrons from metallic surface provided the intensity of light be sufficient to provide necessary energy for emission of electrons, but according to experimental observations, the light of frequency less than threshold frequency can not emit electrons; whatever be the intensity of incident light. Einstein also proposed that electromagnetic radiation is quantised.If photoelectrons are ejected from a surface when light of wavelength λ1 = 550 nm is incident on it. The stopping potential for such electrons is Vs =0.19 . Suppose the radiation of wavelength λ2 = 190 nm is incident on the surface.Q. Calculate the work function of the surface.a)3.75b)2.07c)4.20d)3.60Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for According to wave theory of light, the light of any frequency can emit electrons from metallic surface provided the intensity of light be sufficient to provide necessary energy for emission of electrons, but according to experimental observations, the light of frequency less than threshold frequency can not emit electrons; whatever be the intensity of incident light. Einstein also proposed that electromagnetic radiation is quantised.If photoelectrons are ejected from a surface when light of wavelength λ1 = 550 nm is incident on it. The stopping potential for such electrons is Vs =0.19 . Suppose the radiation of wavelength λ2 = 190 nm is incident on the surface.Q. Calculate the work function of the surface.a)3.75b)2.07c)4.20d)3.60Correct answer is option 'B'. Can you explain this answer?.
Solutions for According to wave theory of light, the light of any frequency can emit electrons from metallic surface provided the intensity of light be sufficient to provide necessary energy for emission of electrons, but according to experimental observations, the light of frequency less than threshold frequency can not emit electrons; whatever be the intensity of incident light. Einstein also proposed that electromagnetic radiation is quantised.If photoelectrons are ejected from a surface when light of wavelength λ1 = 550 nm is incident on it. The stopping potential for such electrons is Vs =0.19 . Suppose the radiation of wavelength λ2 = 190 nm is incident on the surface.Q. Calculate the work function of the surface.a)3.75b)2.07c)4.20d)3.60Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 12.
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ample number of questions to practice According to wave theory of light, the light of any frequency can emit electrons from metallic surface provided the intensity of light be sufficient to provide necessary energy for emission of electrons, but according to experimental observations, the light of frequency less than threshold frequency can not emit electrons; whatever be the intensity of incident light. Einstein also proposed that electromagnetic radiation is quantised.If photoelectrons are ejected from a surface when light of wavelength λ1 = 550 nm is incident on it. The stopping potential for such electrons is Vs =0.19 . Suppose the radiation of wavelength λ2 = 190 nm is incident on the surface.Q. Calculate the work function of the surface.a)3.75b)2.07c)4.20d)3.60Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Class 12 tests.
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