Physics 9702 · AS & A Level · Stationary waves

Stationary waves — practice question

As shown in Fig. 4.1, a device with a microwave emitter and receiver is positioned in a vacuum in front of a large metal sheet. Line XY is at right angles to the metal sheet. The device sends out microwaves with frequency $6.3\,\text{GHz}$.
(a)[4]

When the device is at position P, a stationary wave is set up between the device and the sheet. Explain how this stationary wave is formed, including the nodes and the antinodes.

(b(i))[2]

Calculate the wavelength for the microwaves.

(b(ii))[1]

At point $P$ the receiver records a maximum amplitude for the stationary wave. The device is then moved slowly from point $P$ along line $XY$ and the receiver records a sequence of minimum and maximum amplitudes. The first time the receiver detects a minimum amplitude is when the device is at point $Q$. Determine the distance between $P$ and $Q$.

(b(iii))[1]

The intensity of the microwaves emitted by the device is increased. The frequency of the microwaves stays the same. The device is moved slowly along 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.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: Microwaves are reflected by the metal sheet

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