Question

A mosquito is making sound with its wings at an average rate of $500$ vibrations per $10$ seconds. The frequency of vibrations is

Answer 1

Step 1: Given data in the question.

In the question, it is given that a mosquito is making sound with its wings at an average rate of $500$ vibrations per $10$ seconds.

Step 2: Concept and formula to be used.

1. According to the definition of frequency, the frequency can be defined as the number of cycles per unit of time.
2. The formula of frequency: If $n$ is the number of cycles completed in time $t$ then the frequency $f$ is given by: $f=\frac{n}{t}$.
3. The unit of frequency is hertz denoted by $Hz$.

Step 3: Find the frequency of vibration generated by the mosquito.

Since, the number of cycles $n$ is $500$ in time $10s$.

So, the frequency of vibration $f$ is as follows:

$$\begin{gathered} f=\frac{500}{10} \\ \Rightarrow f=50 \end{gathered}$$

Therefore, the frequency of vibrations is $50Hz$.