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Find the refractive index of a medium having a velocity of 1.5 x 108.
- a)0.5
- b)5
- c)0.2
- d)2
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Find the refractive index of a medium having a velocity of 1.5 x 108.a...
Answer: d
Explanation: The refractive index is given by the ratio of the speed of light to the velocity in a particular medium. It is given by n = c/v. On substituting for v = 1.5 x 108 and c = 3 x 108, we get n = 3/1.5 = 2. The quantity has no unit.
Explanation: The refractive index is given by the ratio of the speed of light to the velocity in a particular medium. It is given by n = c/v. On substituting for v = 1.5 x 108 and c = 3 x 108, we get n = 3/1.5 = 2. The quantity has no unit.
Most Upvoted Answer
Find the refractive index of a medium having a velocity of 1.5 x 108.a...
To find the refractive index of a medium, we need to use the formula:
Refractive index (n) = Speed of light in vacuum (c) / Velocity of light in the medium (v)
Given that the velocity of the medium is 1.5 x 10^8 m/s, we can substitute this value into the formula to find the refractive index.
Calculation:
1. Speed of light in vacuum (c) = 3 x 10^8 m/s (known constant)
2. Velocity of light in the medium (v) = 1.5 x 10^8 m/s (given)
Now, we can substitute these values into the formula:
Refractive index (n) = 3 x 10^8 m/s / 1.5 x 10^8 m/s
Simplifying the calculation:
When we divide two numbers with the same base (10 in this case), we can subtract the exponents:
Refractive index (n) = 3 / 1.5 x 10^(8-8)
Simplifying further:
Refractive index (n) = 3 / 1.5
Refractive index (n) = 2
Therefore, the refractive index of the medium is 2.
Hence, option D is the correct answer.
Refractive index (n) = Speed of light in vacuum (c) / Velocity of light in the medium (v)
Given that the velocity of the medium is 1.5 x 10^8 m/s, we can substitute this value into the formula to find the refractive index.
Calculation:
1. Speed of light in vacuum (c) = 3 x 10^8 m/s (known constant)
2. Velocity of light in the medium (v) = 1.5 x 10^8 m/s (given)
Now, we can substitute these values into the formula:
Refractive index (n) = 3 x 10^8 m/s / 1.5 x 10^8 m/s
Simplifying the calculation:
When we divide two numbers with the same base (10 in this case), we can subtract the exponents:
Refractive index (n) = 3 / 1.5 x 10^(8-8)
Simplifying further:
Refractive index (n) = 3 / 1.5
Refractive index (n) = 2
Therefore, the refractive index of the medium is 2.
Hence, option D is the correct answer.
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Find the refractive index of a medium having a velocity of 1.5 x 108.a)0.5b)5c)0.2d)2Correct answer is option 'D'. Can you explain this answer?
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