Period x Frequency = ?

Period x Frequency = ?

• A. 0
• B. 1
• C. 2
• D. Undefined

Answer: (B)

Period and frequency are reciprocal: the period is the time for one complete cycle, and the frequency is how many cycles occur in a unit of time. By definition, frequency f equals 1 divided by the period T, so T times f equals T × (1/T) = 1. The units also cancel (seconds × 1/seconds), giving a dimensionless value of 1. So the product is 1 for any regular periodic motion. The other options don’t fit because they would require either no time per cycle, no cycles per time, or an undefined pairing, which isn’t the case here.

Period and frequency are reciprocal: the period is the time for one complete cycle, and the frequency is how many cycles occur in a unit of time. By definition, frequency f equals 1 divided by the period T, so T times f equals T × (1/T) = 1. The units also cancel (seconds × 1/seconds), giving a dimensionless value of 1. So the product is 1 for any regular periodic motion. The other options don’t fit because they would require either no time per cycle, no cycles per time, or an undefined pairing, which isn’t the case here.