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Physics · Oct / Nov 2020 · Paper 41 · Question 6

0625

As printed in the paper

The question as text

Fig. 6.1 shows a shallow tank viewed from above. The depth of the water is different in the two parts of the tank. Fig. 6.1 shows the crests and the troughs of a wave that pass from left to right. 45° 2.6 cm boundary trough crest Key 33° Fig. 6.1 (not to scale) As the wave passes from one side to the other, the direction of the wavefronts changes.

Read automatically from the paper; the printed page above is exact.

Show the answer and mark scheme
  • 6(a)[3]

    speed changes or (wave) speed is smaller in right-hand part of tank or waves slow down or bottom (on the page) section of wave hits the boundary first

    (wave) speed is smaller in right-hand part of tank or waves slow down or bottom (on the page) section of wave hits the boundary first

    bottom (on the page) / one part / one side / one section of wave slows down first (and different sections are delayed by different amounts)

  • 6(b)(i)[3]

    (f =) v ÷ λ (in any form) or 0.39 ÷ 0.052 or 0.39 ÷ 0.026 or 15 (Hz) or 0.39 ÷ 5.2 or 0.39 ÷ 2.6 or 0.15 (Hz) or 0.075 (Hz) 0.39 ÷ 0.052 or 15 (Hz) or 0.39 ÷ 5.2 or 0.15 (Hz) or 0.075 (Hz)

    7.5 Hz

  • 6(b)(ii)[3]

    angle of incidence / i = 45(°) or angle of refraction / r = 33(°)

    (v2 =) v1 × sin(r) ÷ sin (i) (in any form) or λ2 = λ1 × sin(r) ÷ sin (i) (in any form) or 0.39 × sin(33°) ÷ sin(45°) or 0.39 × sin(57°) ÷ sin(45°)

    0.30 m / s

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