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Unpolarized light is incident on a pair of ideal linear polarizers whose transmission axis make an angle of 45° with each other, the transmitted light intensity through both polarizers in what percentage of the incident intensity?
Correct answer is '25'. Can you explain this answer?
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Unpolarized light is incident on a pair of ideal linear polarizers who...
Light incident = l0
Intensity of light through first polarizer =
Intensity of light through second polarizer =
Percentage =
= 25%
The correct answer is: 25
Intensity of light through first polarizer =
Intensity of light through second polarizer =
Percentage =
= 25%
The correct answer is: 25
Most Upvoted Answer
Unpolarized light is incident on a pair of ideal linear polarizers who...
Degrees with each other. What is the intensity of the light transmitted through the second polarizer?
When unpolarized light passes through a linear polarizer, only the component of the light that is parallel to the transmission axis of the polarizer is transmitted. The intensity of the transmitted light is given by the equation:
I = I₀ * cos²(θ)
where I is the intensity of the transmitted light, I₀ is the intensity of the incident light, and θ is the angle between the polarization direction of the incident light and the transmission axis of the polarizer.
In this case, the angle between the transmission axis of the first polarizer and the polarization direction of the incident light is 45 degrees. Therefore, the intensity of the light transmitted through the first polarizer is:
I₁ = I₀ * cos²(45°) = I₀ * (cos(45°))² = I₀ * (1/2)² = I₀/4
Now, this polarized light passes through the second polarizer whose transmission axis is also at an angle of 45 degrees with the first polarizer. The angle between the transmission axis of the second polarizer and the polarization direction of the light transmitted through the first polarizer is 0 degrees.
Therefore, the intensity of the light transmitted through the second polarizer is:
I₂ = I₁ * cos²(0°) = I₁ * (cos(0°))² = I₁ * 1² = I₁ = I₀/4
So, the intensity of the light transmitted through the second polarizer is one-fourth (1/4) of the intensity of the incident light.
When unpolarized light passes through a linear polarizer, only the component of the light that is parallel to the transmission axis of the polarizer is transmitted. The intensity of the transmitted light is given by the equation:
I = I₀ * cos²(θ)
where I is the intensity of the transmitted light, I₀ is the intensity of the incident light, and θ is the angle between the polarization direction of the incident light and the transmission axis of the polarizer.
In this case, the angle between the transmission axis of the first polarizer and the polarization direction of the incident light is 45 degrees. Therefore, the intensity of the light transmitted through the first polarizer is:
I₁ = I₀ * cos²(45°) = I₀ * (cos(45°))² = I₀ * (1/2)² = I₀/4
Now, this polarized light passes through the second polarizer whose transmission axis is also at an angle of 45 degrees with the first polarizer. The angle between the transmission axis of the second polarizer and the polarization direction of the light transmitted through the first polarizer is 0 degrees.
Therefore, the intensity of the light transmitted through the second polarizer is:
I₂ = I₁ * cos²(0°) = I₁ * (cos(0°))² = I₁ * 1² = I₁ = I₀/4
So, the intensity of the light transmitted through the second polarizer is one-fourth (1/4) of the intensity of the incident light.
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Unpolarized light is incident on a pair of ideal linear polarizers whose transmission axis make an angle of 45° with each other, the transmitted light intensity through both polarizers in what percentage of the incident intensity?Correct answer is '25'. Can you explain this answer?
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Unpolarized light is incident on a pair of ideal linear polarizers whose transmission axis make an angle of 45° with each other, the transmitted light intensity through both polarizers in what percentage of the incident intensity?Correct answer is '25'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about Unpolarized light is incident on a pair of ideal linear polarizers whose transmission axis make an angle of 45° with each other, the transmitted light intensity through both polarizers in what percentage of the incident intensity?Correct answer is '25'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Unpolarized light is incident on a pair of ideal linear polarizers whose transmission axis make an angle of 45° with each other, the transmitted light intensity through both polarizers in what percentage of the incident intensity?Correct answer is '25'. Can you explain this answer?.
Unpolarized light is incident on a pair of ideal linear polarizers whose transmission axis make an angle of 45° with each other, the transmitted light intensity through both polarizers in what percentage of the incident intensity?Correct answer is '25'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about Unpolarized light is incident on a pair of ideal linear polarizers whose transmission axis make an angle of 45° with each other, the transmitted light intensity through both polarizers in what percentage of the incident intensity?Correct answer is '25'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Unpolarized light is incident on a pair of ideal linear polarizers whose transmission axis make an angle of 45° with each other, the transmitted light intensity through both polarizers in what percentage of the incident intensity?Correct answer is '25'. Can you explain this answer?.
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