MCAT Physics Question 93: Answer and Explanation
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Question: 93
3. Which of the following is necessarily true regarding frequency, angular frequency, and period of a given wave?
- A. The magnitude of the angular frequency is larger than the magnitude of the period.
- B. The product of the frequency and period is equal to the angular frequency.
- C. The magnitude of the angular frequency is larger than the magnitude of the frequency.
- D. The product of the angular frequency and period is 1.
Correct Answer: C
Explanation:
The angular frequency is related to the frequency through the equation ω = 2πf. Therefore, the magnitude of the angular frequency will always be larger than the magnitude of the frequency. The magnitude of the angular frequency may or may not be larger than the magnitude of period; these variables are inversely proportional, eliminating choice (A). The product of the frequency and the period is always 1 because these two are inverses of each other, eliminating choice (B). Finally, the product of the angular frequency and period will always be 2π because 
eliminating choice (D).