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A water film is formed on a glass block. A light ray is incident on water film from air at an angle 60. What is the angle of incidence on the glass block? ( Refractive index of glass is 1.5, Refractive index of water is 4/3 )?
Most Upvoted Answer
A water film is formed on a glass block. A light ray is incident on wa...
First the light ray is refracted through film and then through glass slab.
so angle of refraction of film of water will be angle of incidence for glass slab.
1sin60=1.33 sinr
sin inverse 3√3/8= r= angle of incidence for glass slab
so angle of refraction of film of water will be angle of incidence for glass slab.
1sin60=1.33 sinr
sin inverse 3√3/8= r= angle of incidence for glass slab
Community Answer
A water film is formed on a glass block. A light ray is incident on wa...
Angle of Incidence on the Water Film
When a light ray passes from one medium to another, it undergoes refraction due to the change in the speed of light. The angle of incidence is the angle between the incident ray and the normal to the interface between the two media.
In this scenario, the light ray is incident on the water film from air at an angle of 60 degrees. The refractive index of water is given as 4/3.
Refractive Index and Snell's Law
The refractive index of a medium is a measure of how much it can bend or refract light. It is defined as the ratio of the speed of light in vacuum to the speed of light in the medium. Mathematically, the refractive index (n) is given by:
n = c/v
where c is the speed of light in vacuum and v is the speed of light in the medium.
Snell's law relates the angles of incidence and refraction to the refractive indices of the two media. It can be expressed as:
n₁sin(θ₁) = n₂sin(θ₂)
where n₁ and n₂ are the refractive indices of the first and second media, θ₁ is the angle of incidence, and θ₂ is the angle of refraction.
Finding the Angle of Incidence on the Glass Block
To find the angle of incidence on the glass block, we need to consider the light ray passing from the water film to the glass block. The refractive index of the glass block is given as 1.5.
Using Snell's law, we can write:
(4/3)sin(60) = (1.5)sin(θ)
Simplifying the equation, we get:
(4/3) * (√3/2) = (1.5)sin(θ)
(2/√3) = (1.5)sin(θ)
sin(θ) = (2/√3) / (1.5)
sin(θ) = (2√3) / (3√3)
sin(θ) = 2/3
Taking the inverse sine (sin⁻¹) of both sides, we find:
θ ≈ 41.81 degrees
Therefore, the angle of incidence on the glass block is approximately 41.81 degrees.
When a light ray passes from one medium to another, it undergoes refraction due to the change in the speed of light. The angle of incidence is the angle between the incident ray and the normal to the interface between the two media.
In this scenario, the light ray is incident on the water film from air at an angle of 60 degrees. The refractive index of water is given as 4/3.
Refractive Index and Snell's Law
The refractive index of a medium is a measure of how much it can bend or refract light. It is defined as the ratio of the speed of light in vacuum to the speed of light in the medium. Mathematically, the refractive index (n) is given by:
n = c/v
where c is the speed of light in vacuum and v is the speed of light in the medium.
Snell's law relates the angles of incidence and refraction to the refractive indices of the two media. It can be expressed as:
n₁sin(θ₁) = n₂sin(θ₂)
where n₁ and n₂ are the refractive indices of the first and second media, θ₁ is the angle of incidence, and θ₂ is the angle of refraction.
Finding the Angle of Incidence on the Glass Block
To find the angle of incidence on the glass block, we need to consider the light ray passing from the water film to the glass block. The refractive index of the glass block is given as 1.5.
Using Snell's law, we can write:
(4/3)sin(60) = (1.5)sin(θ)
Simplifying the equation, we get:
(4/3) * (√3/2) = (1.5)sin(θ)
(2/√3) = (1.5)sin(θ)
sin(θ) = (2/√3) / (1.5)
sin(θ) = (2√3) / (3√3)
sin(θ) = 2/3
Taking the inverse sine (sin⁻¹) of both sides, we find:
θ ≈ 41.81 degrees
Therefore, the angle of incidence on the glass block is approximately 41.81 degrees.
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A water film is formed on a glass block. A light ray is incident on water film from air at an angle 60. What is the angle of incidence on the glass block? ( Refractive index of glass is 1.5, Refractive index of water is 4/3 )?
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A water film is formed on a glass block. A light ray is incident on water film from air at an angle 60. What is the angle of incidence on the glass block? ( Refractive index of glass is 1.5, Refractive index of water is 4/3 )? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A water film is formed on a glass block. A light ray is incident on water film from air at an angle 60. What is the angle of incidence on the glass block? ( Refractive index of glass is 1.5, Refractive index of water is 4/3 )? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A water film is formed on a glass block. A light ray is incident on water film from air at an angle 60. What is the angle of incidence on the glass block? ( Refractive index of glass is 1.5, Refractive index of water is 4/3 )?.
A water film is formed on a glass block. A light ray is incident on water film from air at an angle 60. What is the angle of incidence on the glass block? ( Refractive index of glass is 1.5, Refractive index of water is 4/3 )? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A water film is formed on a glass block. A light ray is incident on water film from air at an angle 60. What is the angle of incidence on the glass block? ( Refractive index of glass is 1.5, Refractive index of water is 4/3 )? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A water film is formed on a glass block. A light ray is incident on water film from air at an angle 60. What is the angle of incidence on the glass block? ( Refractive index of glass is 1.5, Refractive index of water is 4/3 )?.
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