measurement and uncertainties 1 additional topic 4 answers · measurement and uncertainties...
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ADDITIONAL TOPIC 4 ANSWERS 1PHYSICS FOR THE IB DIPLOMA © CAMBRIDGE UNIVERSITY PRESS 2014
Measurement and uncertainties 1Measurement and uncertainties 1Measurement and uncertainties 1Measurement and uncertainties 1Measurement and uncertainties 1Additional Topic 4 answers
Topic 4 Waves
4.1 Oscilliations1 b V at the origin c same graph but from x = –1 cm to xv= 1 cm2 a i 6.9 m s–1
ii 1.5 J b
4.2 Travelling waves5 a 3.16 m s−1
b K at any point where x = 06 a i 0.6 cm ii 4.0 m iii 5.0 m s−1
iv 1.25 Hz b no8 a 5.0 × 103 m s−1
b i 0 mm ii –2.00 mm9 a 3.0 m s−1 b T = 1.5 s; f = 0.667 Hz c 4.5 m d 12 cm 10 a 0.66 m b 2.98 m 11 a 2400 m b 0.050 m c 30
4.3 Wave characteristics 12
EP/J
x/cm–4 –2 0 2 4
1
2
3
4
5
6
3 a i V at any maximum or minimum of the graph ii A at any maximum or minimum of the graph iii K at any point where x = 0 iv P at any maximum or minimum of the graph b i a negative cosine curve ii a negative sine curve4 a i Z at any maximum or minimum of the graph ii M at any point where v = 0 b
0
5
–5
2 4 6 8t /s
a /ms–2
0.0
0.5
1.0
1.5
2.0
2.5
3.0
0 2 4 6 8t /s
EK/J c
x/cm–2 0 2 4 6 8
1
2
3
4d /cm
x/cm–2 0 2 4 6 8
0.2
–0.2
–0.4
0.4
0.6
0.8
1.0d /cm 13
2 PHYSICS FOR THE IB DIPLOMA © CAMBRIDGE UNIVERSITY PRESS 2014ADDITIONAL TOPIC 4 ANSWERS
14 4.4 Wave behaviour 22
16 I08
17 128 additional polarisers 19 45°
4 cm4 cm
t = 1.0 ms
4 cm4 cmt = 2.0 ms
2 cm10 cmt = 2.5 ms
4 cm
t = 4.0 ms
12 cmt = 3.0 ms
t = 1.5 ms
45°
45°
29.87°glass
air
plastic
air
31.59°
24 Re� ection and di� raction of sound; absence of these for light. P could see Q by using a mirror at the corner.
25 b 8.0 m 26 0.83 m 27 a The path di� erence is two wavelengths, so
the observer hears a loud sound because of constructive interference.
b The path di� erence is one and a half wavelengths, so the observer hears no sound because of destructive interference.