Question

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

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Solution

## 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.According to the definition of frequency, the frequency can be defined as the number of cycles per unit of time.The formula of frequency: If $n$ is the number of cycles completed in time $t$ then the frequency $f$ is given by: $f=\frac{n}{t}$.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:$f=\frac{500}{10}\phantom{\rule{0ex}{0ex}}⇒f=50$ Therefore, the frequency of vibrations is $50Hz$.

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