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The speed of light in glass and water are respectively 2 × 108𝑚/𝑠 𝑎𝑛𝑑 2.25 × 108𝑚/𝑠 .
Find refractive index of water w.r.t. glass. Hence determine which medium is denser and
which medium is rarer?
Find refractive index of water w.r.t. glass. Hence determine which medium is denser and
which medium is rarer?
Most Upvoted Answer
The speed of light in glass and water are respectively 2 × 108𝑚/𝑠 𝑎...
Refractive Index Calculation and Density Comparison
Refractive Index Calculation:
- The refractive index of a medium is given by the ratio of the speed of light in a vacuum to the speed of light in that medium.
- The refractive index of water with respect to glass can be calculated using the formula:
\[ \text{Refractive index of water w.r.t. glass} = \frac{\text{Speed of light in glass}}{\text{Speed of light in water}} \]
- Substituting the given values:
\[ \text{Refractive index of water w.r.t. glass} = \frac{2 \times 10^8}{2.25 \times 10^8} = \frac{8}{9} = 0.8889 \]
Determining Density:
- The refractive index is related to the density of the medium. A higher refractive index indicates a higher optical density of the medium.
- In this case, since the refractive index of water with respect to glass is less than 1 (0.8889), it means that water is optically less dense compared to glass.
- Therefore, glass is denser than water, as the higher refractive index of glass indicates higher optical density.
By calculating the refractive index and understanding the relationship between refractive index and density, we can conclude that glass is denser than water.
Refractive Index Calculation:
- The refractive index of a medium is given by the ratio of the speed of light in a vacuum to the speed of light in that medium.
- The refractive index of water with respect to glass can be calculated using the formula:
\[ \text{Refractive index of water w.r.t. glass} = \frac{\text{Speed of light in glass}}{\text{Speed of light in water}} \]
- Substituting the given values:
\[ \text{Refractive index of water w.r.t. glass} = \frac{2 \times 10^8}{2.25 \times 10^8} = \frac{8}{9} = 0.8889 \]
Determining Density:
- The refractive index is related to the density of the medium. A higher refractive index indicates a higher optical density of the medium.
- In this case, since the refractive index of water with respect to glass is less than 1 (0.8889), it means that water is optically less dense compared to glass.
- Therefore, glass is denser than water, as the higher refractive index of glass indicates higher optical density.
By calculating the refractive index and understanding the relationship between refractive index and density, we can conclude that glass is denser than water.
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The speed of light in glass and water are respectively 2 × 108𝑚/𝑠 𝑎𝑛𝑑 2.25 × 108𝑚/𝑠 . Find refractive index of water w.r.t. glass. Hence determine which medium is denser and which medium is rarer?
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The speed of light in glass and water are respectively 2 × 108𝑚/𝑠 𝑎𝑛𝑑 2.25 × 108𝑚/𝑠 . Find refractive index of water w.r.t. glass. Hence determine which medium is denser and which medium is rarer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The speed of light in glass and water are respectively 2 × 108𝑚/𝑠 𝑎𝑛𝑑 2.25 × 108𝑚/𝑠 . Find refractive index of water w.r.t. glass. Hence determine which medium is denser and which medium is rarer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The speed of light in glass and water are respectively 2 × 108𝑚/𝑠 𝑎𝑛𝑑 2.25 × 108𝑚/𝑠 . Find refractive index of water w.r.t. glass. Hence determine which medium is denser and which medium is rarer?.
The speed of light in glass and water are respectively 2 × 108𝑚/𝑠 𝑎𝑛𝑑 2.25 × 108𝑚/𝑠 . Find refractive index of water w.r.t. glass. Hence determine which medium is denser and which medium is rarer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The speed of light in glass and water are respectively 2 × 108𝑚/𝑠 𝑎𝑛𝑑 2.25 × 108𝑚/𝑠 . Find refractive index of water w.r.t. glass. Hence determine which medium is denser and which medium is rarer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The speed of light in glass and water are respectively 2 × 108𝑚/𝑠 𝑎𝑛𝑑 2.25 × 108𝑚/𝑠 . Find refractive index of water w.r.t. glass. Hence determine which medium is denser and which medium is rarer?.
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