Question

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consider the three statements. two are true. one is false.
select the false statement.
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#1 a vibrating object with a high frequency would be described as having a low period.
#2 a vibrating object with a high frequency is an object that undergoes a relatively large number of vibrations in a short period of time.
#3 a vibrating object with a high frequency is an object that moves a large distance in a short amount of time.

Explanation:

• Statement #1: Frequency ($f$) and period ($T$) are inversely related by $T=\frac{1}{f}$. A high frequency means a small period, so this is true.
• Statement #2: Frequency is defined as the number of vibrations per unit time. A high frequency means many vibrations in a short time, so this is true.
• Statement #3: Frequency describes vibration rate, not distance traveled. An object can vibrate rapidly (high frequency) over a small distance, so this is false.

Answer:

#3. A vibrating object with a high frequency is an object that moves a large distance in a short amount of time.