Question

Which of the following time periods of a sound wave would result in the highest pitch?

• A. $0.2\text{s}$
• B. $0.02\text{s}$
• C. $0.1\text{s}$
• D. $1\text{s}$

Answer 1

The correct option is B $0.02\text{s}$

The way our brain interprets the frequency of a sound is called the pitch. The faster the vibration of the source, the higher is the frequency and the higher is the pitch.
We know frequency, $f=\frac{1}{\text{Time period}}$.

Among the given waves, the wave with a time period of $0.02\text{s}$ has the least time period.
Therefore, from the above equation, we can say that it has the maximum frequency i.e. $\frac{1}{0.02}=50\text{Hz}$.

Since pitch is directly proportional to frequency, the wave with a time period of $0.02\text{s}$ has the maximum pitch among the given.