I need help on this question:
You are given information on the intensity level (which is a measure of the sound intensity) at a point and its distance from the sound source. To make use of this information, you will need to determine the relation between sound intensity and distance from the source. Which of the following statements correctly expresses that relation?
a.) The intensity at any distance r is directly proportional to r.
b.) The intensity at any distance r is directly proportional to r^2.
c.) The intensity at any distance r is inversely proportional to r.
d.) The intensity at any distance r is inversely proportional to r^2.
e.) The square of the intensity at any distance r is directly proportional to r.
f.) The square of the intensity at any distance r is inversely proportional to r.
i believe that the answer is d
That's what I thought.
To determine the relation between sound intensity and distance from the source, we need to analyze how the sound intensity changes as the distance from the source changes.
The correct relation can be deduced from the inverse square law, which states that the intensity of sound decreases inversely proportional to the square of the distance.
Based on this, the correct statement that expresses the relation between sound intensity and distance from the source is:
d.) The intensity at any distance r is inversely proportional to r^2.
To answer this question, we need to understand the relationship between sound intensity and distance from the source.
According to the Inverse Square Law of Sound, the intensity of sound decreases as the distance from the source increases. Mathematically, this means that the intensity is inversely proportional to the square of the distance.
With this information in mind, we can eliminate options a, c, e, and f since they do not correctly express the relationship between sound intensity and distance.
Now, we are left with options b and d - both stating that the intensity at any distance r is directly proportional to a power of r. To determine which option is correct, let's consider the inverse square relationship.
Since the inverse square relationship states that intensity is inversely proportional to the square of the distance, the correct statement is that the intensity at any distance r is inversely proportional to r^2. Therefore, the correct answer is option d: "The intensity at any distance r is inversely proportional to r^2."