Concept explainers
At night the pupils of a certain woman’s eyes are 8 mm in diameter. (a) How many kilometers away from a car facing her will the woman be able to distinguish its headlights from each other? (b) What would the distance be if her pupils were 4 mm in diameter (say at twilight)? Assume that the headlights are 1.5 m apart, that the average
(a)
The range at which car’s head light can be distinguishable.
Answer to Problem 72E
The range at which car’s head light can be distinguishable is
Explanation of Solution
Given info:
The separation between the headlights is
Since the eyes attain only half of the resolving power, the distance will be half of the range obtain.
Write an expression to calculate the range at which car’s head light can be distinguishable.
Here,
Substitute
Thus, the range at which car’s head light can be distinguishable is
Conclusion:
The range at which car’s head light can be distinguishable is
(b)
The range at which car’s head light can be distinguishable.
Answer to Problem 72E
The range at which car’s head light can be distinguishable is
Explanation of Solution
Given info:
The separation between the headlights is
Since the eyes attain only half of the resolving power, the distance will be half of the range obtained.
Write an expression to calculate the range at which car’s head light can be distinguishable.
Here,
Substitute
Thus, the range at which car’s head light can be distinguishable is
Conclusion:
The range at which car’s head light can be distinguishable is
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Chapter 7 Solutions
PHYSICAL UNIVERSE W/ CONNECT
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