Difference in the speed of the light flowing along with the direction of flow of water and opposite to the direction of the flow of the water.
Answer to Problem 34P
Difference in the speed of the light flowing along with the direction of flow of water and opposite to the direction of the flow of the water is
Explanation of Solution
Write the velocity of the light flowing in the direction of flow of water. Thus,
Where, v is the velocity of the flow of the water, n is the index refraction of the water, c is the speed of the light and
Further simplify the above equation by using binomial expansion because
Because
Similarly, write the velocity of the light flowing in opposite direction of flow of water. Thus,
Further simplify the above equation by using binomial expansion because
Because
Subtract equation (I) from equation (II) to get the difference in the speed of the light flowing along with the direction of flow of water and opposite to the direction of the flow of the water. Thus,
Further simplify the above equation. Thus,
Substitute
Conclusion:
Therefore, difference in the speed of the light flowing along with the direction of flow of water and opposite to the direction of the flow of the water is
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Chapter 2 Solutions
Modern Physics for Scientists and Engineers
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