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

.c o

m

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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

w

w w .100w u l

i .c o

m

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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°

w

w w .100w l

i .c o

m

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

w

w w

.u l

i .c o

m

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

.c o

m

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