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How many seconds will elapse between seeing lightning and hearing the thunder if the lightning strikes 1 mi (5,280 ft) away and the air temperature is 90.0°F?
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The time difference between seeing lightning and hearing the thunder if the air temperature is
Answer to Problem 18PEB
Solution:
Explanation of Solution
Given data:
The air temperature is
Formula used:
The expression to convert temperature in Fahrenheit to Celsius,
Write the expression for the velocity of a sound wave at the present temperature.
Here,
Write the expression for the time.
Here,
Explanation:
When the event occurs, it emits light and sound waves. The sound wave and light wave travelsby the speed of sound and light in air respectively. Take the case of travel of sound from the origin point to the person. The temperature of the air is
Substitute
The sound is travelling at an air temperature of
Here,
Substitute
The sound of the thunder travels at a speed of
Substitute
Now, consider the case of travel of light from the source to the person. The velocity of light in air is
Substitute
Thus, calculate the elapsed between seeing and hearing the event.
Substitute
Conclusion:
The time elapsed between seeing lightning and hearing the thunder is
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