Physics 9702 · AS & A Level · Interference

Interference — practice question

Two waves of the same type overlap while moving in the same direction. Fig. 6.1 shows how the displacement $y$ of each wave varies with distance $x$. The wave speed is $240\,\text{m s}^{-1}$. Since the waves are coherent, an interference pattern is formed.
(a(i))[2]

Explain what is meant by coherence and interference.

(a(ii))[2]

Use Fig. 6.1 to determine the waves' frequency.

(a(iii))[1]

State the phase difference between the waves.

(a(iv))[2]

Use the principle of superposition to sketch, on Fig. 6.1, the resultant wave.

(b)

Fig. 6.2 shows the arrangement used to generate an interference pattern. Laser light of wavelength $\lambda = 546\,\text{nm}$ falls on slits $S_1$ and $S_2$. The separation of the slits is $0.13\,\text{mm}$. The screen is $85\,\text{cm}$ from the slits. Two points on the screen are marked $A$ and $B$. The path difference between $S_1A$ and $S_2A$ is zero. The path difference between $S_1B$ and $S_2B$ is $2.5\lambda$. The screen shows maxima and minima of light intensity.

(b(i))[3]

Calculate the distance $AB$.

(b(ii))[1]

The laser is swapped for one that emits blue light. State and explain how the spacing between the maxima seen on the screen changes.

Worked solution & mark scheme

This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: Coherent sources keep a constant phase difference

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