IPhO 2016 - Experiment - Jumping Beads

Experiment
Swiss German (Switzerland)
Springende Kügelchen (10 Punkte)
Teil A. Kritische Anregungsamplitude (3,3 Punkte)
A.1 (1.2 pt)
𝐴𝐷
𝑁1
𝑁2
A2-1
Experiment
Swiss German (Switzerland)
A.2 (1.1 pt)
Graph A.2: 𝑁1 , 𝑁2 vs. 𝐴𝐷
A2-2
Experiment
Swiss German (Switzerland)
A.3 (1.0 pt)
𝐴𝐷, krit. =
Teil B. Kalibration (3,2 Punkte)
B.1 (0.5 pt)
Skizze des Versuchsaufbaus:
A2-3
Experiment
Swiss German (Switzerland)
B.2 (0.8 pt)
A2-4
Experiment
Swiss German (Switzerland)
B.3 (1.0 pt)
Graph B.3: 𝐴 vs. 𝐴𝐷
A2-5
Experiment
Swiss German (Switzerland)
B.4 (0.8 pt)
Funktion 𝐴(𝐴𝐷 ):
Die Parameter der Kurve:
B.5 (0.1 pt)
𝐴krit. =
A2-6
Experiment
Swiss German (Switzerland)
Teil C. Der kritische Exponent (3,5 Punkte)
C.1 (1.1 pt)
C.2 (1.0 pt)
1 −𝑁2 vs. ∣𝐴2 − 𝐴2 ∣ entweder im Graph C.2a oder Graph C.2b.
Plotte 𝑁
𝑐
𝑁 +𝑁
1
2
A2-7
A2-8
Experiment
Swiss German (Switzerland)
Graph C.2a doppelt logarithmisches Papier
100
9
8
7
6
5
4
3
2
10
9
8
7
6
5
4
3
2
1
1
2
3
4
5
6 7 8 9
10
2
3
4
5
6 7 8 9
100
2
3
4
5
6 7 8 9
1000
Experiment
Swiss German (Switzerland)
Graph C.2b lineares Papier
A2-9
Experiment
Swiss German (Switzerland)
C.3 (1.4 pt)
𝑏=
Δ𝑏 =
A2-10

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