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Physics-

General

Easy

Question

Arectangularglass slabABCD ofrefractiveindex $n subscript 1 end subscript$ isimmersed inwaterofrefractive index $n subscript 2 end subscript open parentheses n subscript 1 end subscript close$ $greater than n subscript 2 end subscript text ). end text$ Arayof lightisincidentatthesurfaceABoftheslabasshown.The maximumvalueoftheangleofincidenceAmaxsuchthattheraycomesoutonlyfromtheothersurfaceCDis givenby

${s i n}^{- 1} [\frac{n_{1}}{n_{2}} c o s (\sin^{- 1} (\frac{n_{2}}{n_{1}}))]$
${s i n}^{- 1} [n_{1} c o s (\sin^{- 1} (\frac{1}{n_{2}}))]$
${s i n}^{- 1} (\frac{n_{1}}{n_{2}})$
${s i n}^{- 1} (\frac{n_{2}}{n_{1}})$

The correct answer is: $s i n to the power of negative 1 end exponent invisible function application open square brackets fraction numerator n subscript 1 end subscript over denominator n subscript 2 end subscript end fraction c o s invisible function application open parentheses sin to the power of negative 1 end exponent invisible function application open parentheses fraction numerator n subscript 2 end subscript over denominator n subscript 1 end subscript end fraction close parentheses close parentheses close square brackets$

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