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A radio station transmits on 97.4 MHz - Edexcel - GCSE Physics Combined Science - Question 3 - 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 Combined Science - Question 3 - 2020 - Paper 1

Step 1

Calculate the length of the aerial needed.

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Answer

To find the length of the aerial needed, we first need to calculate the wavelength of the radio waves transmitted at 97.4 MHz.

  1. Recall the formula for wavelength: λ=vf\lambda = \frac{v}{f} where:
    (v = 3.00 \times 10^8 ; m/s) (speed of radio waves) (f = 97.4 \times 10^6 ; Hz) (frequency)

  2. Convert the frequency into Hz:
    (97.4 ; MHz = 97.4 \times 10^6 ; Hz)

  3. Substituting the values into the formula: λ=3.00×108  m/s97.4×106  Hz\lambda = \frac{3.00 \times 10^8 \; m/s}{97.4 \times 10^6 \; Hz} λ=3.08  m\lambda = 3.08 \; m

  4. Calculate the length of the aerial:
    The length of the aerial needed is half of the wavelength: Length of aerial=λ2=3.082=1.54  m\text{Length of aerial} = \frac{\lambda}{2} = \frac{3.08}{2} = 1.54 \; m

Step 2

Describe how the student should measure the angle of refraction.

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Answer

To measure the angle of refraction, the student should follow these steps:

  1. Trace the ray: Begin by tracing a ray of light as it enters the glass block.

  2. Identify entry and exit points: Mark the points where the light ray enters and exits the glass block.

  3. Remove the block: Carefully remove the glass block while keeping the entry and exit points marked.

  4. Use a protractor: Place the protractor so that the baseline aligns with the normal line (the perpendicular at the entry point). Measure the angle between the refracted ray (if still visible) and the normal.

  5. Record the angle: This angle measured is the angle of refraction.

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