问题 计算题

登山运动员在登雪山时要注意防止紫外线的过度照射,尤其是眼睛更不能长时间被紫外线照射,否则将会严重地损伤视力.有人想利用薄膜干涉的原理设计一种能大大减小紫外线对眼睛伤害的眼镜.他选用的薄膜材料的折射率为n=1.5,所要消除的紫外线的频率为ν=8.1×1014 Hz.

(1)他设计的这种“增反膜”所依据的原理是______________________________.

(2)这种“增反膜”的厚度至少是多少?

(3)以下有关薄膜干涉的说法正确的是                                 (  )

A.薄膜干涉说明光具有波动性

B.如果薄膜的厚度不同,产生的干涉条纹一定不平行

C.干涉条纹一定是彩色的

D.利用薄膜干涉也可以“增透”

答案

(1)两反射光叠加后加强

(2)1.23×10-7 m (3)AD

(1)为了减少进入眼睛的紫外线,应使入射光分别从该膜的前后两个表面反射后形成的反射光叠加后加强,从而使透射的紫外线减弱.

(2)路程差(大小等于薄膜厚度d的2倍)应等于光在薄膜中的波长λ′的整数倍,即2d=Nλ′(N=1,2…),因此,膜的厚度至少是紫外线在膜中波长的,紫外线在真空中的波长是λ=c/ν≈3.7×10-7 m.在膜中的波长是λ′=λ/n≈2.47×10-7 m,故膜的厚度至少是1.23×10-7 m.

(3)干涉和衍射都证明光具有波动性;如果薄膜厚度均匀变化,则干涉条纹一定平行;白光的干涉为彩色条纹,单色光的干涉则为该色光颜色;当膜的厚度为四分之一波长时,两反射光叠加后减弱则会“增透”.故选项A、D正确.

阅读理解

阅读理解

       Since the earliest times, trees have always been very useful and important to human beings who made use of them in many ways. Even today trees continue to serve us m so many ways.    

       Trees provide man with fruits and building materials in the form of wood. Without trees itwould be

impossible to build houses, boats and even bridges. Furniture such as tables, chairs andbeds is made of

wood.    

       In the tropics (热带地区) where it is very hot all through the year, trees protect man fromthe terrible

heat.  They are also useful in preventing good and rich top soil from being washed away during heavy rains which are so common in the tropics.      

       If there were no tree or vegetation of some kinds to hold back the soil with their roots, heavy rains

would wash away the rich soil that is so important and necessary to agriculture(农业). The result is that

the land becomes a desert.    

       There are so many desert areas in the world. A long time ago these desert areas must havebeen very

rich fertile(肥的) areas, but since our ancestors in the distant past do not have enough knowledge about

science of nature, they cut down all the trees in the areas where they lived and never planted new ones.  

By and by, the rich soil was blown and washed away by strong winds and heavy rains. In the end the land was turned into deserts where nothing could grow.

1. According to the passage                .                

A. ancient men didn't know how to make use of trees                

B. trees are not as useful now as they used to be                

C. trees were more useful in the past than they are now                

D. human beings have always found trees very useful

2. The underlined phrase "top soil" means                 .    

A. useless soil which is of no use for agriculture          

B. soil on the surface of the earth which is good for agriculture          

C. soil found under the earth which is under roots of trees          

D. dry soil in desert areas which is bad for agriculture

3. According to the passage, some desert areas were once          

A. lands with good soil              

B. covered by ice and snow          

C. very cold                      

D. very dry and useless

4. If there were no trees,                    .            

A. the land would become more fertile            

B. heavy rains would clean the tropics            

C. the rich top soil couldn't be held back            

D. there would be no agriculture at all

5. From the passage, we know that                   .           

A. man can do nothing to keep the balance of nature            

B. man may take no notice of the balance of nature            

C. man must do his best to keep the balance of nature            

D. the balance of nature is unimportant to man

多项选择题