Question

The frequency of the musical note F#3 is 1.85x102 hertz. What is its period?

Answer 1

The period of the musical note is $\text { 5. } 4 \times 10^{-3}$ seconds.

Answer: Option A

Explanation:

The frequency is defined as the number of oscillations or a complete cycle of wave occurred in a given time interval. So the frequency is inversely proportional to the time period. Thus the mathematical representation of frequency with time period is

               $\text {Frequency}=\frac{1}{\text {Time period }}$

As the frequency is given as $1.85 \times 10^{2} \mathrm{Hz}$, the time period can be found as

               $\text { Time period }=\frac{1}{\text { Frequency }}$

Thus,

               $\text { Time period }=\frac{1}{1.85 \times 10^{2}}=5.4 \times 10^{-3} \mathrm{s}$

Thus the time period for the frequency of the musical note is $\text { 5. } 4 \times 10^{-3}$ seconds.