Final answer:
The frequency of 60Hz has the shortest period when compared to 50Hz because the period is the reciprocal of the frequency, and a higher frequency corresponds to a shorter period.
Step-by-step explanation:
To determine which frequency has the shortest period, we need to understand the relationship between frequency (f) and period (T). The period is the reciprocal of the frequency, meaning T = 1/f. Given frequencies of 60Hz and 50Hz, the periods would be calculated as follows:
- For 60Hz: T = 1/60 seconds
- For 50Hz: T = 1/50 seconds
Thus, the period for 60Hz is 0.0167 seconds (approximately), and the period for 50Hz is 0.02 seconds. Since a lower period means a higher frequency, the frequency of 60Hz has the shortest period compared to 50Hz.