1.

When a glass prism of refracting angle `60^(@)` is immersed in a liquid its angle of minimum deviation is `30^(@)`. The critical angle of glass with respect to the liquid medium isA. `42^@`B. `45^@`C. `50^@`D. `52^@`

Answer» Correct Answer - B
`._lmu_g=(sin((A+delta_m)/(2)))/(sin(A/2))=(sin((60+30)/(2)))/(sin(60/2))=(sin45^@)/(sin30^@)`
`=(1//sqrt2)/(1//2)=sqrt2`
`._amu_gsinC=._amu_lsin90^@`
`sinC=(._amu_l)/(._amu_g)=(1)/(._lmu_g)=1/sqrt2impliesC=45^@`


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