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Microwaves have a frequency of 10000 million Hz. Their wavelength is 0.03 m. Calculate the speed of microwaves. Show clearly how you work out your answer. Speed of microwaves __

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Microwaves have a frequency of 10000 million Hz. Their wavelength is 0.03 m.
Calculate the speed of microwaves.
Show clearly how you work out your answer.
Speed of microwaves __

Microwaves have a frequency of 10000 million Hz. Their wavelength is 0.03 m. Calculate the speed of microwaves. Show clearly how you work out your answer. Speed of microwaves __

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MorrisElite · Tutor for 8 years

Answer

The speed of microwaves equals \(3 × 10^8 m/s\)

Explain

## Step1: <br />Microwaves have the properties of frequency, measured in hertz or Hz, and wavelength, generally measured in meters (m). The frequency and wavelength provided in the given problem lets us calculate the speed of the microwaves. The relationship between these properties is given by the equation<br /><br />### \(velocity = frequency × wavelength \)<br /><br /> <br />## Step2: <br />In the problem, we are provided with a frequency of 10000 million \( Hz \) and a wavelength of \( 0.03 \, m \). It's important to note that 1 million is equal to 10^6 or 1000000, so 10000 million \( Hz \) is equal to \( 10000 \times 10^6 \, Hz \) or \(10^10\, Hz\).<br /><br /> <br />## Step3: <br />Substitute the given values into the equation, we get <br /><br />### \(velocity = 10^{10}\, Hz × 0.03\, m\)
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