JEE Main & Advanced Physics Ray Optics Question Bank Mock Test - Geometrical Optics

  • question_answer
    Critical angle of glass is\[{{\theta }_{1}}\]and that of water is\[{{\theta }_{2}}\]. The critical angle for water and glass surface would be \[({{\mu }_{g}}=3/2,{{\mu }_{w}}=4/3)\]

    A) Less than\[{{\theta }_{2}}\]       

    B) Between \[{{\theta }_{1}}\] and\[{{\theta }_{2}}\]

    C) Greater than \[{{\theta }_{2}}\]  

    D) Less than \[{{\theta }_{1}}\]

    Correct Answer: C

    Solution :

    [c] \[\sin {{\theta }_{1}}=\frac{1}{{{\mu }_{g}}}\]and \[\sin {{\theta }_{2}}=\frac{1}{{{\mu }_{w}}}\] Since \[{{\mu }_{g}}>{{\mu }_{w,}}{{\theta }_{1}}<{{\theta }_{2}}\] Critical angle \[\theta \]between glass and water will be given by \[\sin \theta =\frac{{{\mu }_{w}}}{{{\mu }_{g}}}\] Or \[\theta >{{\theta }_{2}}\]


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