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Refractive index of glass is 1.5. Find the wavelength of a beam of light with a frequency of 1014 Hz in glass. Assume velocity of light is 3 x 108 m/sec in vacuum.
- a)4 μm
- b)3 μm
- c)2 μm
- d)1 μm
Correct answer is option 'C'. Can you explain this answer?
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Refractive index of glass is 1.5. Find the wavelength of a beam of lig...
Given, μ = 1.6, f = 1014 Hz, v = 3 x 108 m/sec.
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Refractive index of glass is 1.5. Find the wavelength of a beam of lig...
Refractive Index of Glass and Velocity of Light
The refractive index of a material is the ratio of the speed of light in a vacuum to the speed of light in that material. In this case, the refractive index of glass is given as 1.5, and the velocity of light in a vacuum is 3 x 10^8 m/s.
Frequency of Light and Wavelength
The frequency of light is given as 1014 Hz. To find the wavelength of light in glass, we can use the formula:
n = c/v
Where:
n = refractive index of glass (1.5)
c = velocity of light in vacuum (3 x 10^8 m/s)
v = velocity of light in glass
Calculating Velocity of Light in Glass
By rearranging the formula, we can find the velocity of light in glass:
v = c / n
v = (3 x 10^8) / 1.5
v = 2 x 10^8 m/s
Calculating Wavelength
Now, we can calculate the wavelength of light in glass using the formula:
λ = v / f
Where:
λ = wavelength
v = velocity of light in glass (2 x 10^8 m/s)
f = frequency of light (1014 Hz)
Substitute the values:
λ = 2 x 10^8 / 1014
λ ≈ 2 x 10^5 / 10^14
λ ≈ 2 x 10^-9
λ = 2 μm
Therefore, the wavelength of the beam of light with a frequency of 1014 Hz in glass is 2 μm, which corresponds to option 'C'.
The refractive index of a material is the ratio of the speed of light in a vacuum to the speed of light in that material. In this case, the refractive index of glass is given as 1.5, and the velocity of light in a vacuum is 3 x 10^8 m/s.
Frequency of Light and Wavelength
The frequency of light is given as 1014 Hz. To find the wavelength of light in glass, we can use the formula:
n = c/v
Where:
n = refractive index of glass (1.5)
c = velocity of light in vacuum (3 x 10^8 m/s)
v = velocity of light in glass
Calculating Velocity of Light in Glass
By rearranging the formula, we can find the velocity of light in glass:
v = c / n
v = (3 x 10^8) / 1.5
v = 2 x 10^8 m/s
Calculating Wavelength
Now, we can calculate the wavelength of light in glass using the formula:
λ = v / f
Where:
λ = wavelength
v = velocity of light in glass (2 x 10^8 m/s)
f = frequency of light (1014 Hz)
Substitute the values:
λ = 2 x 10^8 / 1014
λ ≈ 2 x 10^5 / 10^14
λ ≈ 2 x 10^-9
λ = 2 μm
Therefore, the wavelength of the beam of light with a frequency of 1014 Hz in glass is 2 μm, which corresponds to option 'C'.
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Refractive index of glass is 1.5. Find the wavelength of a beam of light with a frequency of 1014 Hz in glass. Assume velocity of light is 3 x 108 m/sec in vacuum.a)4 μmb)3 μmc)2 μmd)1 μmCorrect answer is option 'C'. Can you explain this answer?
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Refractive index of glass is 1.5. Find the wavelength of a beam of light with a frequency of 1014 Hz in glass. Assume velocity of light is 3 x 108 m/sec in vacuum.a)4 μmb)3 μmc)2 μmd)1 μmCorrect answer is option 'C'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about Refractive index of glass is 1.5. Find the wavelength of a beam of light with a frequency of 1014 Hz in glass. Assume velocity of light is 3 x 108 m/sec in vacuum.a)4 μmb)3 μmc)2 μmd)1 μmCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Refractive index of glass is 1.5. Find the wavelength of a beam of light with a frequency of 1014 Hz in glass. Assume velocity of light is 3 x 108 m/sec in vacuum.a)4 μmb)3 μmc)2 μmd)1 μmCorrect answer is option 'C'. Can you explain this answer?.
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