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The speed of light in vacuum is 3.0 × 108 m/s. If the refractive index of a transparent liquid is 4/3, then the speed of light in the liquid is
Most Upvoted Answer
The speed of light in vacuum is 3.0 × 108 m/s. If the refractive index...
Refractive index of a medium = Speed of light in vacuum/Speed of light in a medium
1.5 = 3 x 10^
8
/ Speed of light in medium
Speed of light in the medium = 3 x 10
^8
/1.5
= 2 x10
^8
m/s.
Community Answer
The speed of light in vacuum is 3.0 × 108 m/s. If the refractive index...
Understanding Refractive Index
The refractive index (n) of a material indicates how much the speed of light is reduced inside that material compared to its speed in a vacuum. It is defined as:
- n = speed of light in vacuum / speed of light in the medium
In this case, the refractive index of the transparent liquid is given as 4/3.
Calculating Speed of Light in the Liquid
To find the speed of light in the liquid (v), we can rearrange the formula for refractive index:
- v = speed of light in vacuum / n
Given the speed of light in vacuum is 3.0 × 10^8 m/s and n = 4/3, we can substitute these values into the equation.
Substituting Values
1. Speed of light in vacuum = 3.0 × 10^8 m/s
2. Refractive index (n) = 4/3
Now, we calculate:
- v = (3.0 × 10^8 m/s) / (4/3)
Calculating v
To simplify:
- v = (3.0 × 10^8 m/s) * (3/4)
Now, perform the multiplication:
- v = (9.0 × 10^8 m/s) / 4
- v = 2.25 × 10^8 m/s
Conclusion
Thus, the speed of light in the transparent liquid is approximately:
- 2.25 × 10^8 m/s
This demonstrates how light travels slower in mediums with a higher refractive index compared to a vacuum.
The refractive index (n) of a material indicates how much the speed of light is reduced inside that material compared to its speed in a vacuum. It is defined as:
- n = speed of light in vacuum / speed of light in the medium
In this case, the refractive index of the transparent liquid is given as 4/3.
Calculating Speed of Light in the Liquid
To find the speed of light in the liquid (v), we can rearrange the formula for refractive index:
- v = speed of light in vacuum / n
Given the speed of light in vacuum is 3.0 × 10^8 m/s and n = 4/3, we can substitute these values into the equation.
Substituting Values
1. Speed of light in vacuum = 3.0 × 10^8 m/s
2. Refractive index (n) = 4/3
Now, we calculate:
- v = (3.0 × 10^8 m/s) / (4/3)
Calculating v
To simplify:
- v = (3.0 × 10^8 m/s) * (3/4)
Now, perform the multiplication:
- v = (9.0 × 10^8 m/s) / 4
- v = 2.25 × 10^8 m/s
Conclusion
Thus, the speed of light in the transparent liquid is approximately:
- 2.25 × 10^8 m/s
This demonstrates how light travels slower in mediums with a higher refractive index compared to a vacuum.
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The speed of light in vacuum is 3.0 × 108 m/s. If the refractive index of a transparent liquid is 4/3, then the speed of light in the liquid is
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The speed of light in vacuum is 3.0 × 108 m/s. If the refractive index of a transparent liquid is 4/3, then the speed of light in the liquid is for Class 10 2025 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 vacuum is 3.0 × 108 m/s. If the refractive index of a transparent liquid is 4/3, then the speed of light in the liquid is covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The speed of light in vacuum is 3.0 × 108 m/s. If the refractive index of a transparent liquid is 4/3, then the speed of light in the liquid is.
The speed of light in vacuum is 3.0 × 108 m/s. If the refractive index of a transparent liquid is 4/3, then the speed of light in the liquid is for Class 10 2025 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 vacuum is 3.0 × 108 m/s. If the refractive index of a transparent liquid is 4/3, then the speed of light in the liquid is covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The speed of light in vacuum is 3.0 × 108 m/s. If the refractive index of a transparent liquid is 4/3, then the speed of light in the liquid is.
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