Concept explainers
(a)
The time taken by the light to reach the earth surface from the atmosphere at the distance of
(a)
Answer to Problem 41P
The time taken by the light to travel
Explanation of Solution
Given info: The distance
The value of refractive index at the Earth’s surface is
The expression for the refractive index at any distance
Formula to find the time required to transverse the atmosphere is,
Here,
The expression for index of any medium is,
Here,
Rearrange the above equation for
Substitute
Substitute
Further simplify the above equation.
Substitute
Thus, the time taken by the light to travel
Conclusion:
Therefore, the time taken by the light to travel
(b)
The percentage increase in time when the light travels in the absence of Earth’s atmosphere.
(b)
Answer to Problem 41P
The percentage increase in the time when atmosphere is absent is
Explanation of Solution
Given info: The distance
Formula to calculate the time required when light travels in absence of atmosphere is,
Here,
Substitute
The time taken by the light to travel
Write the expression for percentage increase.
Thus, the percentage increase in the time when atmosphere is absent is
Conclusion:
Therefore, the percentage increase in the time when atmosphere is absent is
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Chapter 25 Solutions
Principles of Physics
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