光学第一章答案 下载本文

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1. 解: ∵

?y?yj?1?yj?r?d

0180?5000?10?8?0.4090.022 ∴ cm 180?y2??2000?10?8?0.5730.022 cm ry?j?d , j?2 又∵

r180?y?j(???)?2??(7000?5000)?10d0.022∴

?y1?0021?8

≈0.327 cm

or: ?y?2?y?2?y?0.328 cm

21

r??r?y??.??y?j?d? d j=0,1 2. 解: ∵ ?50?5?y?(1?0)??6.4?10?0.08 cm ∴ (1)

0.0400(2)

dy0.04?0.001????j?2??2???2???r?50?6.4?1040

???I?4AcosI?4A2(3)

?5?2221?1201

????21?4

Ip2?4?cos?cos?0.854I28

20?

3.解:∵

??nd?d?(n?1)d

(???2????j?2?)

而:??j?

j?5?6?10?7?6?4d???6?10m?6?10cm ∴

n?11.5?1

r50?y????5000?10?0.125cmd0.024. 解:

0?8I?AIV?I2?I?2I12?A?2A1122maxmax?I?Iminmin2or:V?I

1A?2??A?222?????2?0.943A?1?231???A???II222??2?I1?23

212122r?l??y??2rsin? 5. 解:

r?l20?180?sin?????7000?10?0.00352r?y2?20?0.1??sin?0.0035??0.2?12

?8?1o'

r1500?y????500?10?0.1875mm?0.19mmd2?26.解:(1) 2?d??????j?2?,??y??r2亦可导出同样结果。] [利用

0?70(2)图

a0.55?21.1?pp?Btg??B????1.16(mm)A?C0.55?0.40.95a(0.55?0.4)?2pp?(C?B)tg??(C?B)???3.45(mm)A0.55?pp??l?pp?pp?3.45?1.16?2.29(mm)011022120201?l2.29??12(条)?y0.19即:离屏中央1.16mm的上方的2.29mm范围内,可见12条

暗纹。(亮纹之间夹的是暗纹)

?N?

7.解:

?2hn?nsini?(2j?1)222211?2二级j?0,1,

2j?1??h?n?nsini42222112?1?1700???4260A1.33?1?sin3040222oor:??2hn?nsini?222211222211?22hn?nsini?(2j?1)2j?1?h?n?nsini4222211?2

取j?2,合题意

8.解:

?2d0n0cosi2?(2j?1)i2?020?2

j?0212or:2hn?nsini1?(2j?1)?d0min?2.i1?0

5500?10?7???10?5cm4n4?1.38?

9.解:薄膜干涉中,每一条级的宽度所对应

的空气劈的厚度的变化量为:

j?1j222221??1?????h?h?h??(j?1)????j??2?2n?nsini?2?2n?ns?21121??2n?nsini222211若认为薄膜玻璃片的厚度可以略去不计的情况下,

n?n?1,又因i?i?60,则'o1211?h?则可认为Or:?h??21???32?????o2??

?2cosi22cos60而厚度h所对应的斜面上包含的条纹数为:

???

故玻璃片上单位长度的条纹数为:

h0.05N???100(条)?h5000?10

?7N100N???10条/cml10

'

10.解:∵对于空气劈,当光垂直照射时,

1?d0?(j?)22

2又??d????x????ld而??0ld??l??0?l22d??l2?0.036?1.4??0?l179?5.631?10?4(mm)?563.1nm

??d0?d02?d01??