2007年第38届国际物理奥林匹克理竞赛实验题答案
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Solution (The Experimental Question):
Task 1 1a.
nominal =5´=0.08
nominal (degree)
0.08
If a is the distance between card and the grating and r is the distance between the hole and the light spot so we have
,...,21x x f 0,2
tan a
r
We want
0 to be zero i.e.
r
04.0007.0170,10
rad
rad mm
a mm r 0
0.4range of visible light (degree)
13
26
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1c.
min
R (21.6±0.1) k 0
5´ = 0.081min
R
R=(192±1) k
0=5´ because
= 5´ => R= (21.9±0.1) k =-5´ => R= (21.9±0.1) k
1d.
Table 1d. The measured parameters
(degree)
R glass (M )R glass (M )R film (M )R film (M )
15.00 3.770.03183315.50 2.580.02132216.00 1.880.0187116.50 1.190.0151.50.517.000.890.0133.40.317.500.680.0119.40.118.000.4860.00510.40.118.500.3650.005 5.400.0319.000.2740.003 2.660.0219.500.2250.002 1.420.0120.000.2000.0020.8800.00520.500.2270.0020.8220.00521.000.3680.003 1.1230.00721.500.6000.005 1.610.0122.000.7750.005 1.850.0122.500.830.01 1.870.0123.000.880.01 1.930.0223.50 1.010.01 2.140.0224.00 1.210.01 2.580.0224.50 1.540.01 3.270.0225.00 1.910.01 4.130.0216.25 1.380.0166.50.516.75 1.000.0140.00.317.250.720.0123.40.217.750.5350.00512.80.118.250.3910.003 6.830.0518.750.2930.003 3.460.0219.250.2350.003 1.760.0119.750.1950.0020.9880.00520.250.2010.0020.7760.00520.75
0.273
0.003
0.89
0.01
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1e.
In =-20 => R glass = (132± 2) k , R film = (518±5) k
T film
T film
0.255
19.250.13419.500.15819.750.19720.000.22720.250.25920.500.27620.75
0.307
Graphics
We see that: T(= 20.25) = T(= -20)
(degree)
0.25±0.08
T film |=-20°
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Task 2.2a.
sin d d
= 2.9 cos() (nm)
film
glass film
T T
R R T
2b.
26
13
2.6
2.8 nm
mm 1
d
and degree
0.085where 中
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2c.
Table 2c. The calculated parameters using the measured parameters
(degree)
(nm)
I g /C((M )
I s /C() (M -1)
T film
15.04280.2650.005460.0206 3.8815.54420.3880.007580.0195 3.9416.04560.5320.01150.0216 3.8316.254630.7250.01500.0208 3.8816.54700.8400.01940.0231 3.7716.75477 1.000.02500.0250 3.6917.0484 1.120.02990.0266 3.6317.25491 1.390.04270.0308 3.4817.5498 1.470.05150.0351 3.3517.75505 1.870.07810.0418 3.1718.0512 2.060.0960.0467 3.0618.25518 2.560.1460.0572 2.8618.5525 2.740.1850.0676 2.6918.75532 3.410.2890.0847 2.4719.0539 3.650.3760.103 2.2719.25546 4.260.5680.134 2.0119.5553 4.440.7040.158 1.8419.75560 5.13 1.010.197 1.6220.0567 5.00 1.140.227 1.4820.25573 4.98 1.290.259 1.3520.5580 4.41 1.220.276 1.2920.75587 3.66 1.120.307 1.1821.0594 2.720.8900.328 1.1221.5607 1.670.6210.3730.9922.0621 1.290.5410.4190.8722.5634 1.200.5350.4440.8123.0648 1.140.5180.4560.7923.56610.990.4670.4720.7524.06750.8260.3880.4690.7624.56880.6490.3060.4710.7525.0
701
0.524
0.242
0.462
0.77
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