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20. A radio station transmits radio signals with a frequency range from 3.0 MHz to 6.0 MHz The maximum wavelength of the radio signal transmitted is: A 0.01 m B 0.02 m C 50 m D 100 m E 113 m.

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20. A radio station transmits radio signals with a frequency range from 3.0 MHz to 6.0 MHz
The maximum wavelength of the radio signal transmitted is:
A 0.01 m
B 0.02 m
C 50 m
D 100 m
E 113 m.

20. A radio station transmits radio signals with a frequency range from 3.0 MHz to 6.0 MHz The maximum wavelength of the radio signal transmitted is: A 0.01 m B 0.02 m C 50 m D 100 m E 113 m.

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MyfanwyAdvanced · Tutor for 1 years

Answer

The maximum wavelength of the radio signal transmitted is \(100 \, \text{m}\).

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## Step 1:<br />We are given the frequency range of the radio signals, from \(3.0 \, \text{MHz}\) to \(6.0 \, \text{MHz}\). We need to find the maximum wavelength, which corresponds to the minimum frequency. The speed of light \(c\) is constant and equals \(3.0 \times 10^8 \, \text{m/s}\). We can use the formula for the speed of light:<br /><br />### \(c = \lambda v\)<br /><br />## Step 2:<br />Rearrange the formula to solve for the wavelength \(\lambda\):<br /><br />### \(\lambda = \frac{c}{v}\)<br /><br />## Step 3:<br />Substitute the minimum frequency \(v = 3.0 \, \text{MHz} = 3.0 \times 10^6 \, \text{Hz}\) into the formula:<br /><br />### \(\lambda = \frac{3.0 \times 10^8}{3.0 \times 10^6}\)<br /><br />## Step 4:<br />Calculate the value to find the maximum wavelength:<br /><br />### \(\lambda = 100 \, \text{m}\)
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