By reference to two waves, state: the principle of superposition
- (a)(i)By reference to two waves, state: the principle of superposition[2]
- (a)(ii)By reference to two waves, state: what is meant by coherence.[1]
- (b)Two coherent waves P and Q meet at a point in phase and superpose. Wave P has an amplitude of 1.5cm and intensity I. The resultant intensity at the point where the waves meet is 3I. Calculate the amplitude of wave Q.[2]
- (c)The apparatus shown in Fig. 5.1 is used to produce an interference pattern on a screen. Light of wavelength 680nm is incident on a double-slit. The slit separation is a. The separation between adjacent fringes is x. Fringes are viewed on a screen at distance D from the double-slit. Distance D is varied from 2.0m to 3.5m. The variation with D of x is shown in Fig. 5.2.
- (c)(i)Use Fig. 5.2 to determine the slit separation a.[3]
- (c)(ii)The laser is now replaced by another laser that emits light of a shorter wavelength. On Fig. 5.2, sketch a possible line to show the variation with D of x for the fringes that are now produced.[2]
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 2019). The mark or mark type is shown in brackets.
- [1] (a)(i) (two) waves meet/overlap (at a point)
- [1] (a)(i) (resultant) displacement is sum of the displacement of each wave
- [1] (a)(ii) constant phase difference (between the waves)
- [1] (b) I ∝ A² and 3I / I = (A + 1.5)² / 1.5²
- [1] (b) A = 1.1 cm
- [1] (c)(i) λ = ax / D
- [1] (c)(i) e.g. a = 680 × 10⁻⁹ × 2.0 / 4.0 × 10⁻³
- [1] (c)(i) a = 3.4 x 10⁻⁴ m
- [1] (c)(ii) straight line from positive value on x-axis and always below 'old' line
- [1] (c)(ii) straight line with a smaller positive gradient than 'old' line
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