Physics 9702 · AS & A Level · Interference

Interference — practice question

A source vibrates at frequency $f$ to generate a progressive wave with wavelength $\lambda$. The source requires time $t$ to make $n$ full oscillations.
(a(i))[1]

State what is meant by a progressive wave.

(a(ii))[2]

State expressions, in terms of some or all of $f$, $\lambda$ and $n$, for: the distance travelled by a wavefront in time $t$; and time $t$.

(a(iii))[1]

Use your answers in (ii) to find an expression for the wave speed $v$ in terms of $f$ and $\lambda$.

(b(i))[2]

Calculate the frequency, in GHz, of the microwaves.

(b(ii))[1]

Show that the difference in path lengths $XQ$ and $YQ$ is $6\,\text{cm}$.

(b(iii))[3]

State and explain what can be concluded about the intensity of the microwaves at point $Q$.

(b(iv))[2]

A microwave detector is placed at $P$ and linked to a cathode-ray oscilloscope (CRO). The CRO settings are adjusted so that a waveform appears on the screen. Describe how the amplitude of the waveform changes as the detector is moved from $P$ to $Q$.

Worked solution & mark scheme

This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: definition of a wave that carries or transfers energy

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