“道威棱鏡”廣泛地應(yīng)用在光學(xué)儀器當(dāng)中,如圖,將一等腰直角棱鏡截去棱角,使其平行于底面,可制成“道威棱鏡”,這樣就減小了棱鏡的重量和雜散的內(nèi)部反射.如圖所示,從M點(diǎn)發(fā)出的一束平行于底邊CD的單色光從AC邊射入,已知棱鏡玻璃的折射率n=.求光線進(jìn)入“道威棱鏡”時(shí)的折射角,并通過計(jì)算判斷光線能否從CD邊射出.                       

                                                                            

                                                                                                                                   


解:根據(jù)折射定律:n=

=

得:r=30°

由幾何關(guān)系知β=75°

根據(jù)全反射定律,sinC=

得:C=45°

75°>45°,故在CD面發(fā)生全反射,沒有光線射出;

答:光線進(jìn)入“道威棱鏡”時(shí)的折射角為30°,光線不能從CD邊射出.


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