Question

a wave with a period of 1/3 second has a frequency of
a) 33 hz.
b) 67 hz.
c) 300 hz.
d) 3 hz.

Explanation:

Step1: Recall the formula for frequency

The formula relating frequency (\(f\)) and period (\(T\)) is \(f=\frac{1}{T}\), where \(T\) is the period in seconds and \(f\) is the frequency in hertz (Hz).

Step2: Substitute the given period into the formula

We are given that the period \(T = \frac{1}{3}\) second. Substituting this into the formula \(f=\frac{1}{T}\), we get \(f=\frac{1}{\frac{1}{3}}\).

Step3: Simplify the expression

Simplifying \(\frac{1}{\frac{1}{3}}\) is equivalent to \(1\times\frac{3}{1}=3\) Hz.

Answer:

D) 3 Hz