Задача №16.35
Условие
Связь поляризуемости α с диэлектрической восприимчивостью χ для неполярных жидкостей и кристаллов кубической сингонии задается выражением χ/(χ+3)=αn/3, где n — концентрация молекул. При каком наибольшем значении χ погрешность в вычислении α не будет превышать 1%, если воспользоваться приближенной формулой χ≈αn?Решение
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1.2
1.3
1.4
1.5
1.6
1.7
1.8
1.9
1.10
1.11
1.12
1.13
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1.15
1.16
1.17
1.18
1.19
1.20
1.21
1.22
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1.24
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1.27
1.28
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1.31
1.32
1.33
1.34
1.35
1.36
1.37
1.38
1.39
1.40
1.41
1.42
1.43
1.44
1.45
1.46
1.47
1.49
1.50
1.51
1.52
1.53
1.54
1.55
1.56
1.57
1.58
1.59
1.60
1.61
2.1
2.2
2.3
2.4
2.5
2.6
2.7
2.8
2.9
2.11
2.12
2.13
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2.26
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2.31
2.32
2.33
2.34
2.35
2.36
2.37
2.38
2.39
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2.41
2.42
2.43
2.44
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2.48
2.49
2.50
2.51
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2.53
2.54
2.55
2.56
2.57
2.58
2.59
2.60
2.61
2.62
2.63
2.64
2.65
2.66
2.67
2.68
2.69
2.70
2.71
2.72
2.73
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2.75
2.76
2.77
2.78
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2.83
2.84
2.85
2.86
2.87
2.88
2.89
2.90
2.91
2.92
3.1
3.2
3.3
3.4
3.6
3.7
3.8
3.11
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3.15
3.16
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3.55
3.56
4.1
4.2
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4.4
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4.37
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4.42
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4.64
4.65
4.66
5.1
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5.8
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5.33
5.34
5.35
5.36
6.1
6.2
6.8
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6.25
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6.30
6.32
6.33
6.34
6.35
6.36
6.37
6.38
6.39
6.40
6.43
6.50
6.53
6.56
6.57
6.58
6.59
6.60
6.62
6.67
6.68
6.71
6.73
7.1
7.2
7.3
7.4
7.6
7.7
7.8
7.9
7.10
7.11
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7.14
7.15
7.16
7.17
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7.20
7.22
7.28
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7.31
7.32
7.33
7.34
7.35
7.36
7.37
7.38
7.39
7.40
7.41
7.42
7.44
7.45
7.46
7.47
7.48
7.49
7.50
7.51
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7.53
7.54
7.55
7.56
7.57
7.58
7.59
7.60
8.1
8.2
8.3
8.4
8.5
8.6
8.7
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8.35
8.36
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8.45
9.1
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9.4
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9.31
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9.33
10.1
10.2
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10.5
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10.25
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10.36
10.38
10.43
10.49
10.53
10.54
10.55
10.56
10.58
10.59
10.67
10.69
11.1
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11.35
11.36
11.37
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11.46
11.47
11.48
11.49
11.50
11.51
11.52
11.53
11.54
11.55
11.56
11.57
11.59
11.60
11.62
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11.67
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11.71
11.72
11.73
11.74
11.75
11.78
12.2
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12.36
12.37
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12.53
12.54
12.55
12.57
12.58
12.59
12.60
13.1
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14.1
14.2
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14.21
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14.27
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14.35
14.36
14.37
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14.42
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14.47
14.48
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14.51
14.52
15.1
15.2
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15.14
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15.17
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15.21
15.25
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15.27
15.35
15.36
15.37
15.38
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15.40
15.43
15.44
15.47
15.51
15.52
15.53
15.55
15.56
15.65
15.66
16.1
16.3
16.6
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16.10
16.11
16.12
16.13
16.15
16.16
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16.33
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16.42
16.43
16.44
16.45
16.47
16.48
16.55
17.1
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17.4
17.5
17.6
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17.10
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17.12
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17.17
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17.20
17.21
17.22
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17.24
17.25
18.1
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18.5
18.6
18.7
18.8
18.9
18.13
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18.15
19.1
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19.4
19.5
19.13
19.14
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19.16
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19.33
19.34
19.35
19.36
20.1
20.2
20.3
20.4
20.5
20.7
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20.13
20.14
20.16
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20.18
20.19
20.20
20.21
20.22
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20.26
20.29
20.30
21.9
21.11
21.17
21.18
21.20
21.22
21.28
21.33
21.34
21.35
22.2
22.16
22.26
22.27
22.30
22.35
22.36
22.37
23.1
23.2
23.3
23.4
23.5
23.6
23.9
23.10
23.12
23.14
23.16
23.17
23.18
23.20
23.23
23.30
23.40
24.1
24.2
24.3
24.5
24.23
25.6
25.7
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25.13
25.16
25.18
25.22
25.24
25.33
25.34
25.41
26.1
26.2
26.3
26.4
26.6
26.7
26.8
26.9
26.10
26.11
26.12
26.13
26.14
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26.20
26.21
26.22
26.23
27.1
27.2
27.5
27.6
27.7
27.8
28.1
28.2
28.3
28.4
28.7
28.10
28.11
28.12
28.13
28.14
28.15
28.21
28.25
28.26
28.32
28.35
28.45
28.46
29.1
29.2
29.3
29.4
29.5
29.6
29.7
29.8
29.9
29.10
29.11
29.12
29.13
29.14
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29.17
29.18
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29.23
30.1
30.2
30.3
30.4
30.6
30.7
30.8
30.9
30.10
30.11
30.12
30.13
30.14
30.15
30.16
30.17
30.20
30.21
30.22
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30.24
30.25
30.26
30.27
30.28
30.29
30.30
30.31
30.32
30.33
31.1
31.2
31.3
31.4
31.5
31.6
31.7
31.8
31.9
31.10
31.11
31.13
31.14
31.15
31.16
31.17
31.18
31.19
31.20
31.21
31.22
31.23
31.24
31.25
31.27
31.30
32.2
32.3
32.4
32.6
32.7
32.8
32.9
32.10
32.11
32.12
32.13
32.15
32.16
32.17
32.18
32.19
32.21
33.1
33.2
33.3
33.4
33.7
33.11
34.5
34.6
34.7
34.8
34.9
34.10
34.11
34.12
34.13
34.14
34.15
34.16
34.17
34.18
34.19
34.20
34.21
34.22
35.1
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35.10
36.1
36.2
36.3
36.4
36.6
36.7
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36.9
36.10
36.11
36.12
37.2
37.3
37.5
37.6
37.8
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37.10
37.11
38.1
38.2
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38.4
38.5
38.6
38.7
38.8
38.9
38.10
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38.15
38.16
39.7
39.10
40.1
40.2
40.3
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40.7
40.12
40.15
40.16
40.23
40.50
41.1
41.2
41.3
41.4
41.5
41.6
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41.10
41.11
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41.14
41.17
42.1
42.2
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42.5
42.6
42.7
43.1
43.2
43.3
43.4
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43.6
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43.11
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43.13
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43.15
43.16
44.5
44.8
44.16
44.19
44.21
44.27
45.1
45.2
45.3
45.4
45.5
45.6
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45.22
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45.24
45.25
45.27
45.28
45.33
46.1
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46.14
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46.21
46.24
46.36
46.40
46.42
46.67
46.70
46.73
46.74
46.76
47.3
47.6
47.32
47.43
47.62
49.3
49.5
49.9
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49.15
49.19
49.25
50.1
50.6
50.13
50.18
50.20
50.36
51.1
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51.19
51.20