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5. 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
5. The speed of light in glass and water are respectively 2 × 108𝑚/𝑠...
Refractive Index Calculation:
To find the refractive index of water with respect to glass, we can use the formula:
\[ \frac{Speed \, of \, light \, in \, glass}{Speed \, of \, light \, in \, water} = \frac{n_{\text{water}}}{n_{\text{glass}}} \]
Given that the speed of light in glass is 2 × 10^8 m/s and in water is 2.25 × 10^8 m/s, we can substitute these values into the formula:
\[ \frac{2 \times 10^8}{2.25 \times 10^8} = \frac{n_{\text{water}}}{n_{\text{glass}}} \]
\[ \frac{8}{9} = \frac{n_{\text{water}}}{n_{\text{glass}}} \]
Therefore, the refractive index of water with respect to glass is \(\frac{8}{9}\).
Density Comparison:
To determine which medium is denser and which is rarer, we can use the refractive index values. The medium with the higher refractive index is denser, while the medium with the lower refractive index is rarer.
In this case, the refractive index of water with respect to glass is \(\frac{8}{9}\), which is less than 1. This indicates that water is rarer compared to glass. Glass, having a higher refractive index, is denser than water.
Therefore, glass is the denser medium and water is the rarer medium.
By comparing the refractive indices of the two substances, we can determine their relative densities without needing to know the exact values of the refractive indices for each substance. This is a useful method for quickly assessing the density of different materials based on their optical properties.
To find the refractive index of water with respect to glass, we can use the formula:
\[ \frac{Speed \, of \, light \, in \, glass}{Speed \, of \, light \, in \, water} = \frac{n_{\text{water}}}{n_{\text{glass}}} \]
Given that the speed of light in glass is 2 × 10^8 m/s and in water is 2.25 × 10^8 m/s, we can substitute these values into the formula:
\[ \frac{2 \times 10^8}{2.25 \times 10^8} = \frac{n_{\text{water}}}{n_{\text{glass}}} \]
\[ \frac{8}{9} = \frac{n_{\text{water}}}{n_{\text{glass}}} \]
Therefore, the refractive index of water with respect to glass is \(\frac{8}{9}\).
Density Comparison:
To determine which medium is denser and which is rarer, we can use the refractive index values. The medium with the higher refractive index is denser, while the medium with the lower refractive index is rarer.
In this case, the refractive index of water with respect to glass is \(\frac{8}{9}\), which is less than 1. This indicates that water is rarer compared to glass. Glass, having a higher refractive index, is denser than water.
Therefore, glass is the denser medium and water is the rarer medium.
By comparing the refractive indices of the two substances, we can determine their relative densities without needing to know the exact values of the refractive indices for each substance. This is a useful method for quickly assessing the density of different materials based on their optical properties.
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5. 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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5. 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 5. 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 5. 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?.
5. 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 5. 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 5. 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?.
Solutions for 5. 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? in English & in Hindi are available as part of our courses for Class 10.
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