High School

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A sound wave leaves its source and is traveling through air. The reflected wave returns 0.5 seconds later. What is the distance from the source to the reflector?

A. 83 m
B. 830 m
C. 83 cm
D. 83 mm

Answer :

Final answer:

The distance from the source to the reflector is 171.5 meters. (Option B)

Explanation:

To calculate the distance traveled by the sound wave, we use the formula: Distance = Speed × Time. Given that the reflected wave returns 0.5 seconds later, the total time taken for the round trip is 1 second (0.5 seconds each way). The speed of sound in air is typically around 343 meters per second. Therefore, Distance = 343 m/s × 0.5 s = 171.5 m.

Here's the detailed calculation:

1. Total time taken for the round trip = 0.5 seconds (one way) + 0.5 seconds (return) = 1 second.

2. Speed of sound in air = 343 m/s (given).

3. Distance traveled by the sound wave = Speed × Time = 343 m/s × 0.5 s = 171.5 meters.

Thus, the distance from the source to the reflector is 171.5 meters. This is evident from the fact that the sound wave travels a certain distance to reach the reflector and then covers the same distance back to the source. Option B is the correct answer.

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