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A ray of light enters from air to glass, the angles of incidence and refraction in the air
and glass are 45º and 30º respectively. Find the refractive index of glass (c) List two factors on which lateral displacement depends on when light enters a glass siab?
and glass are 45º and 30º respectively. Find the refractive index of glass (c) List two factors on which lateral displacement depends on when light enters a glass siab?
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A ray of light enters from air to glass, the angles of incidence and r...
Finding the Refractive Index of Glass
To find the refractive index (n) of glass when light travels from air to glass, we can use Snell's Law, which states:
\[ n_1 \sin(\theta_1) = n_2 \sin(\theta_2) \]
Where:
- \( n_1 \) is the refractive index of the first medium (air, approximately 1)
- \( \theta_1 \) is the angle of incidence (45º)
- \( n_2 \) is the refractive index of the second medium (glass)
- \( \theta_2 \) is the angle of refraction (30º)
Given \( n_1 = 1 \), we can rearrange the formula to find \( n_2 \):
\[ 1 \cdot \sin(45º) = n_2 \cdot \sin(30º) \]
Calculating the sine values:
- \( \sin(45º) = \frac{\sqrt{2}}{2} \)
- \( \sin(30º) = \frac{1}{2} \)
Substituting these values into the equation:
\[ \frac{\sqrt{2}}{2} = n_2 \cdot \frac{1}{2} \]
Solving for \( n_2 \):
\[ n_2 = \sqrt{2} \]
Thus, the refractive index of glass (n) is approximately 1.414.
Factors Affecting Lateral Displacement
When light enters a glass slab, the lateral displacement depends on the following factors:
Understanding these factors helps in practical applications such as optics and lens design, where controlling light pathways is crucial.
To find the refractive index (n) of glass when light travels from air to glass, we can use Snell's Law, which states:
\[ n_1 \sin(\theta_1) = n_2 \sin(\theta_2) \]
Where:
- \( n_1 \) is the refractive index of the first medium (air, approximately 1)
- \( \theta_1 \) is the angle of incidence (45º)
- \( n_2 \) is the refractive index of the second medium (glass)
- \( \theta_2 \) is the angle of refraction (30º)
Given \( n_1 = 1 \), we can rearrange the formula to find \( n_2 \):
\[ 1 \cdot \sin(45º) = n_2 \cdot \sin(30º) \]
Calculating the sine values:
- \( \sin(45º) = \frac{\sqrt{2}}{2} \)
- \( \sin(30º) = \frac{1}{2} \)
Substituting these values into the equation:
\[ \frac{\sqrt{2}}{2} = n_2 \cdot \frac{1}{2} \]
Solving for \( n_2 \):
\[ n_2 = \sqrt{2} \]
Thus, the refractive index of glass (n) is approximately 1.414.
Factors Affecting Lateral Displacement
When light enters a glass slab, the lateral displacement depends on the following factors:
- Thickness of the Slab: The greater the thickness of the glass slab, the larger the lateral displacement. This is because light travels a longer distance inside the glass, resulting in a greater deviation.
- Angle of Incidence: The angle at which light strikes the surface affects how much it bends upon entering the glass. A larger angle of incidence typically results in a greater lateral displacement.
Understanding these factors helps in practical applications such as optics and lens design, where controlling light pathways is crucial.
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A ray of light enters from air to glass, the angles of incidence and refraction in the airand glass are 45º and 30º respectively. Find the refractive index of glass (c) List two factors on which lateral displacement depends on when light enters a glass siab?
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A ray of light enters from air to glass, the angles of incidence and refraction in the airand glass are 45º and 30º respectively. Find the refractive index of glass (c) List two factors on which lateral displacement depends on when light enters a glass siab? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A ray of light enters from air to glass, the angles of incidence and refraction in the airand glass are 45º and 30º respectively. Find the refractive index of glass (c) List two factors on which lateral displacement depends on when light enters a glass siab? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A ray of light enters from air to glass, the angles of incidence and refraction in the airand glass are 45º and 30º respectively. Find the refractive index of glass (c) List two factors on which lateral displacement depends on when light enters a glass siab?.
A ray of light enters from air to glass, the angles of incidence and refraction in the airand glass are 45º and 30º respectively. Find the refractive index of glass (c) List two factors on which lateral displacement depends on when light enters a glass siab? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A ray of light enters from air to glass, the angles of incidence and refraction in the airand glass are 45º and 30º respectively. Find the refractive index of glass (c) List two factors on which lateral displacement depends on when light enters a glass siab? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A ray of light enters from air to glass, the angles of incidence and refraction in the airand glass are 45º and 30º respectively. Find the refractive index of glass (c) List two factors on which lateral displacement depends on when light enters a glass siab?.
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