Doubling the frequency has what effect on the period?

Doubling the frequency has what effect on the period?

• A. Doubles
• B. Increases
• C. Remains the same
• D. Halves

Answer: (C)

Frequency and period are reciprocals: the period is how long one cycle takes, while frequency is how many cycles occur per unit time. They’re linked by the equation T = 1/f. If you double the frequency, you divide the period by two: T' = 1/(2f) = (1/2)(1/f) = T/2. So the period becomes half as long. For example, going from 5 Hz to 10 Hz changes the period from 0.2 s to 0.1 s.

Frequency and period are reciprocals: the period is how long one cycle takes, while frequency is how many cycles occur per unit time. They’re linked by the equation T = 1/f. If you double the frequency, you divide the period by two: T' = 1/(2f) = (1/2)(1/f) = T/2. So the period becomes half as long. For example, going from 5 Hz to 10 Hz changes the period from 0.2 s to 0.1 s.