As a train starts from rest and then accelerates down the track, coming toward me faster and faster, the speed of the sound waves coming toward me will be:Select one:a.some constant speed faster than the normal speed of sound in air.b.equal to the normal speed of sound in air.c.faster and faster.d.slower than the normal speed of sound in air.
Question
As a train starts from rest and then accelerates down the track, coming toward me faster and faster, the speed of the sound waves coming toward me will be:Select one:a.some constant speed faster than the normal speed of sound in air.b.equal to the normal speed of sound in air.c.faster and faster.d.slower than the normal speed of sound in air.
Solution
The correct answer is b. equal to the normal speed of sound in air.
Here's why:
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The speed of sound in air is determined by the medium (air) through which it travels, not by the source of the sound. This is a property of waves known as the principle of wave independence.
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Therefore, even if the train is accelerating and coming towards you faster and faster, the speed of the sound waves it produces will not change. They will travel at the normal speed of sound in air, which is approximately 343 meters per second (at sea level and at a temperature of 20 degrees Celsius).
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This might seem counterintuitive because if you were to throw a ball from a moving train, the ball would indeed travel faster. But sound waves behave differently from thrown objects. The speed of the sound waves is not affected by the speed of the train.
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However, while the speed of the sound waves remains constant, you might perceive the sound of the train differently as it approaches and then passes you. This is due to the Doppler effect, which causes the frequency of the sound waves to appear higher as the train approaches and lower as it recedes. But this is a change in frequency, not a change in the speed of the sound waves.
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