Concept explainers
You see condensed steam expelled from a ship’s whistle 2.50 s before you hear the sound. If the air temperature is 20.0°C, how many meters are you from the ship?
The distance of the ship from the person when the condensed steam expelled from the ship’s whistle is seen
Answer to Problem 9PEB
Solution:
The distance of the ship from the person is
Explanation of Solution
Given data:
The air temperature is
Formula used:
Write the expression for the velocity of a sound wave at the given 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 ship to the person. Calculate the velocity of sound in air.
Substitute
Consider the distance between the person and the sip as
Substitute
Now, consider the case of travel of light from the ship to the person. The velocity of light in air is
Substitute
The time taken by the sound is
Substitute
Further, solve.
Conclusion:
The ship is
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