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This question is about an experiment to measure the wavelength of microwaves - AQA - A-Level Physics - Question 1 - 2017 - Paper 3

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This question is about an experiment to measure the wavelength of microwaves. A microwave transmitter T and a receiver R are arranged on a line marked on the bench.... show full transcript

Worked Solution & Example Answer:This question is about an experiment to measure the wavelength of microwaves - AQA - A-Level Physics - Question 1 - 2017 - Paper 3

Step 1

State the phase difference between the sets of waves superposing at R when the ammeter reading is a minimum.

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Answer

The phase difference is 180 degrees, or π radians, as this indicates that the waves interfere destructively at this point.

Step 2

Explain why the minimum reading is not zero when the distance x is measured.

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Answer

The minimum reading is not zero because, even at minimum, some energy is reflected from the metal sheet M, causing interference, leading to a standing wave pattern where a certain amplitude still exists.

Step 3

Describe a procedure that the student could use to make sure that M is parallel to the marked line before measuring each value of x.

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Answer

  1. Use a ruler or a straight edge aligned with the marked line.
  2. Position M so that it directly touches the ruler at a reference point.
  3. Check both ends of M against the ruler to ensure even spacing.
  4. Make small adjustments until M is parallel and visually inspect the alignment before recording values.

Step 4

Determine the maximum gradient Gmax of a line that passes through all the error bars.

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Answer

Calculate the maximum gradient from the data points ensuring the line is steep while still intersecting all error bars. Use the least squares method for accuracy.

Step 5

Determine the minimum gradient Gmin of a line that passes through all the error bars.

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Answer

Calculate the minimum gradient in a similar manner as Gmax but ensure that the line is as shallow as possible while still intersecting all error bars.

Step 6

Determine τ using your results for Gmax and Gmin.

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Answer

Use the relationship τ=2Gmax+Gmin\tau = \frac{2}{G_{max} + G_{min}} to find the wavelength τ based on the calculated gradients.

Step 7

Determine the percentage uncertainty in your result for τ.

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Answer

Calculate the uncertainty using the formula Percentage Uncertainty=(Uncertaintyτ)×100\text{Percentage Uncertainty} = \left(\frac{\text{Uncertainty}}{\tau}\right) \times 100 where the uncertainty can be derived from the errors in Gmax and Gmin.

Step 8

Explain how the graph in Figure 4 can be used to obtain the value of y.

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Answer

The graph can be analyzed to determine the intercept on the y-axis, which corresponds to the distance y when all other variables are accounted for in the equation relating x, y, and τ.

Step 9

Add a tick (✓) in each row of Table 1.

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Answer

  1. Gmax: Not affected
  2. Gmin: Not affected
  3. τ: Increased
  4. y: Increased
    Indicate these with checks in Table 1 according to how the absence of data for n=13 influences the results.

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