If p \(\alpha \frac{I}{Q}\) which of the following is true?
Question 1 Report
If p \(\alpha \frac{I}{Q}\) which of the following is true?
Answer Details
Given that p \(\alpha \frac{I}{Q}\), where \(\alpha\) means 'is proportional to'.
To determine the relationship between q and p, we need to manipulate the equation so that q is isolated on one side.
We can write p = k\(\frac{I}{Q}\), where k is the constant of proportionality.
Multiplying both sides by Q, we get pQ = kI.
Dividing both sides by p, we get Q = \(\frac{k}{p}\)I.
Since k is a constant of proportionality, we can write it as k = cp for some other constant c.
Therefore, Q = \(\frac{c}{p}\)I.
This means that q is inversely proportional to p.
So, the correct option is q \(\alpha \frac{1}{p}\).
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