A device containing a microwave emitter and receiver is placed in front of a large metal sheet in a vacuum as shown in [Figure 4.1]. The line XY is perpendicular to the metal sheet. The device emits microwaves of frequency 6.3 GHz.
- (a)When the device is at position P, a stationary wave is formed between the device and the sheet. Explain how the stationary wave, including the nodes and the antinodes, is formed.[4]
- (b)(i)Calculate the wavelength of the microwaves. wavelength = ................................................................m [2][2]
- (b)(ii)At point P the receiver detects a maximum amplitude of the stationary wave. The device is moved slowly from point P along the line XY and the receiver detects a series of minimum and maximum amplitudes. The first time a minimum amplitude is detected by the receiver is when the device is at point Q. Determine the distance between P and Q. distance = ................................................................m [1][1]
- (b)(iii)The intensity of the microwaves emitted by the device is increased. The frequency of the microwaves is unchanged. The device is moved slowly along the line XY from point Q until the next maximum amplitude is detected at point R. State and explain whether the distance QR is greater than, less than or the same as distance PQ.[1]
This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.
Mark scheme
Marking points from the official mark scheme (Feb/Mar 2025). The mark or mark type is shown in brackets.
- B1 (micro)wave (from the transmitter) reflects (at metal/sheet)
- B1 The incident and reflected waves superpose
- B1 (resultant) amplitude is maximum at an antinode
- B1 (resultant) amplitude is minimum/zero at a node
- C1 λ = c/f
- = 3 x 108/6.3 × 109
- A1 = 0.048 m
- A1 distance PQ = ¼λ
- = 0.048/4
- = 0.012 m
- B1 (Distance QR is the) same (as PQ) and one of: Distance (between maxima/ minima) does not depend on intensity OR distance depends only on wavelength OR wavelength is unchanged / constant
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