Question

consider the three statements. two are true. one is false. select the false statement.
tap a statement to select or deselect. tap the check answer button when ready.
#1 vibrating objects making many vibrations in a short amount of time have a large period.
#2 period and frequency are reciprocals of each other
#3 partially obscured text
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Explanation:

1. For statement #1: Frequency is the number of vibrations per unit time. A large number of vibrations in a short time means high frequency. Period $T = \frac{1}{f}$, so high frequency means a small period, making this statement false.
2. For statement #2: By definition, period ($T$) and frequency ($f$) are reciprocals: $T=\frac{1}{f}$, so this is true.
3. For statement #3: Since $T=\frac{1}{f}$, period and frequency have an inverse (inversely proportional) relationship, so this is true.

Answer:

#1 Vibrating objects making many vibrations in a short amount of time have a large period.