A radio station transmits on 97.4 MHz. To receive the waves an aerial needs a length equal to half the wavelength of the radio waves being transmitted. Calculate the length of the aerial needed. The speed of the radio waves is 3.00 x 10^8 m/s. (a) length of aerial = ________________________ m (b) To investigate refraction in a rectangular glass block a student uses the apparatus shown in Figure 5. Describe how the student should measure the angle of refraction.

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A radio station transmits on 97.4 MHz - Edexcel - GCSE Physics - Question 5 - 2020 - Paper 1

Question 5

A radio station transmits on 97.4 MHz. To receive the waves an aerial needs a length equal to half the wavelength of the radio waves being transmitted. Calculate t... show full transcript

Worked Solution & Example Answer:A radio station transmits on 97.4 MHz - Edexcel - GCSE Physics - Question 5 - 2020 - Paper 1

Step 1

Calculate the wavelength of the radio waves

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Answer

To find the wavelength

$\lambda = \frac{v}{f}$

Where:

$v = 3.00 x 10^8 \, m/s$ (speed of the radio waves)
$f = 97.4 \times 10^6 \, Hz$ (frequency of the radio waves)

Thus:

$\lambda = \frac{3.00 \times 10^8}{97.4 \times 10^6} \approx 3.08 \, m$

Step 2

Calculate the length of the aerial

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Answer

Since the length of the aerial needed is half the wavelength, we have:

$\text{Length of aerial} = \frac{\lambda}{2} = \frac{3.08}{2} \approx 1.54 \, m$

Step 3

Describe how the student should measure the angle of refraction.

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Answer

The student should perform the following steps:

Trace or mark where the ray enters and exits the glass block.
Use a protractor to measure the angle between the refracted ray and the normal line (which is drawn perpendicular to the surface at the entry point).

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