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The refractive indices of two media are denoted by n1 and n2 and the velocities of light in these two media are respectively v1 and v2. If n2/n1 is 1.5, which one of the following statements is correct?
- a)v1 is 1.5 times v2
- b)v2 is 1.5 times v1
- c)v1 is equal to v2
- d)v1 is 3 times v2
Correct answer is option 'A'. Can you explain this answer?
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The refractive indices of two media are denoted by n1 and n2 and the v...
Refractive Index 
n = c/v
n = c/v
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The refractive indices of two media are denoted by n1 and n2 and the v...
Refractive Indices and Velocities of Light in Different Media
The refractive index of a medium, denoted by n, is a measure of how much the speed of light is reduced when it passes through that medium. The refractive index is defined as the ratio of the velocity of light in vacuum (c) to the velocity of light in the medium (v).
The velocity of light in a medium can be calculated using the formula:
v = c/n
where c is the speed of light in vacuum and n is the refractive index of the medium.
In this question, we are given two media with refractive indices n1 and n2, and their corresponding velocities of light v1 and v2.
Given:
n2/n1 = 1.5
To find:
Which statement is correct about the velocities of light in the two media?
Explanation:
To compare the velocities of light in the two media, we can use the formula for velocity of light in a medium:
v = c/n
Let's compare the velocities of light in the two media:
v1 = c/n1 (Equation 1)
v2 = c/n2 (Equation 2)
We are given that n2/n1 = 1.5. Let's substitute this value in Equation 2:
v2 = c/(1.5*n1)
Now, let's compare v2 and v1:
v2/v1 = (c/(1.5*n1))/(c/n1)
= (c/(1.5*n1)) * (n1/c)
= 1.5
Therefore, we can conclude that v2 is 1.5 times v1. Hence, the correct statement is:
Option A: v1 is 1.5 times v2
Summary:
The refractive index of a medium determines the velocity of light in that medium. By comparing the velocities of light in two media with refractive indices n1 and n2, we can determine the relationship between their velocities. In this case, we are given that n2/n1 = 1.5, which implies that v2 is 1.5 times v1.
The refractive index of a medium, denoted by n, is a measure of how much the speed of light is reduced when it passes through that medium. The refractive index is defined as the ratio of the velocity of light in vacuum (c) to the velocity of light in the medium (v).
The velocity of light in a medium can be calculated using the formula:
v = c/n
where c is the speed of light in vacuum and n is the refractive index of the medium.
In this question, we are given two media with refractive indices n1 and n2, and their corresponding velocities of light v1 and v2.
Given:
n2/n1 = 1.5
To find:
Which statement is correct about the velocities of light in the two media?
Explanation:
To compare the velocities of light in the two media, we can use the formula for velocity of light in a medium:
v = c/n
Let's compare the velocities of light in the two media:
v1 = c/n1 (Equation 1)
v2 = c/n2 (Equation 2)
We are given that n2/n1 = 1.5. Let's substitute this value in Equation 2:
v2 = c/(1.5*n1)
Now, let's compare v2 and v1:
v2/v1 = (c/(1.5*n1))/(c/n1)
= (c/(1.5*n1)) * (n1/c)
= 1.5
Therefore, we can conclude that v2 is 1.5 times v1. Hence, the correct statement is:
Option A: v1 is 1.5 times v2
Summary:
The refractive index of a medium determines the velocity of light in that medium. By comparing the velocities of light in two media with refractive indices n1 and n2, we can determine the relationship between their velocities. In this case, we are given that n2/n1 = 1.5, which implies that v2 is 1.5 times v1.
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The refractive indices of two media are denoted by n1 and n2 and the velocities of light in these two media are respectively v1 and v2. If n2/n1 is 1.5, which one of the following statements is correct?a)v1 is 1.5 times v2b)v2 is 1.5 times v1c)v1 is equal to v2d)v1 is 3 times v2Correct answer is option 'A'. Can you explain this answer?
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