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As shown in figure, a ray of light is incident on glass cube. If it experiences total internal reflection in vertical plane, then what is the refractive index of glass? |
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Answer» `sqrt(3/2)` `therefore" "sinr=(1)/(sqrt2a^(mu)g)` For point B,sin(`90^@`-r)=`""_gmu_a` where, (`90^@-r)` becomes critical ANGLE `therefore COS r=""_gmu_g=(1)/(COSR)` `therefore =(1)/(1-sin^2r)` `=(1)/(sqrt(1-(1)/(2_amu_g^2)))`  `therefore ""_amu_g^2=(1)/(1-(1)/(2_amu_g^2))=(2_amu_g^2)/(2_amu_g^2-1)` `therefore 2_amu_g^2-1=2` `therefore ""_amu_g=sqrt(3/2)` |
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