Question

Which of the following waves has the longest period?

A) 2 MHz.
B) 4,000 Hz.
C) 6 Hz.
D) 1 kHz.

Answer 1

The wave with the frequency of 6 Hz (option C) has the longest period when compared to the other options given, as the period is the inverse of frequency.

Step-by-step explanation:

The period of a wave is the inverse of its frequency. To find the period (T), we use the formula T = 1/f, where f is the frequency in hertz. Comparing the options given by the student:

• A) 2 MHz (megahertz) is equivalent to 2,000,000 Hz
• B) 4,000 Hz remains as is.
• C) 6 Hz remains as is.
• D) 1 kHz (kilohertz) is equivalent to 1,000 Hz

Now to calculate the period for each:

• For 2 MHz: T = 1/2,000,000 = 0.5 × 10-6 seconds
• For 4,000 Hz: T = 1/4,000 = 0.25 × 10-3 seconds
• For 6 Hz: T = 1/6 = approximately 0.17 seconds
• For 1 kHz: T = 1/1,000 = 1 × 10-3 seconds

Out of these frequencies, the lowest frequency is 6 Hz, which therefore has the longest period, option C).