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

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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 ) of the waves, use the formula:

λ=vf \lambda = \frac{v}{f}

where:

  • v = speed of the radio waves = 3.00 × 10^8 m/s
  • f = frequency = 97.4 MHz = 97.4 × 10^6 Hz

Calculating the wavelength:

λ=3.00×10897.4×1063.08m \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

The length of the aerial needs to be half the wavelength:

Length of aerial=λ2=3.082=1.54m \text{Length of aerial} = \frac{\lambda}{2} = \frac{3.08}{2} = 1.54 \, m

Step 3

Describe how the student should measure the angle of refraction

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Answer

  1. Trace the path of the ray: Use a ruler to mark the ray of light entering the glass block and the point where it exits.

  2. Draw normal lines: Draw a line perpendicular (normal) to the surface at the entry and exit points of the ray.

  3. Use a protractor: Place a protractor at the point where the ray exits the block to measure the angle between the ray and the normal line.

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