NEET Sample Paper NEET Sample Test Paper-68

  • question_answer
    PQR is a right angled prism with other angles as\[60{}^\circ \text{ }and\text{ }30{}^\circ \]. Refractive index of prism is 1.5. PQ has a thin layer of liquid. Light falls normally on the face PR. For total internal reflection, maximum refractive index of liquid is

    A) 1.4                               

    B) 1.3

    C) 1.2                               

    D) 1.6

    Correct Answer: B

    Solution :

    For TIR at PQ; \[\theta <C\] From geometry of figure\[\theta =60\], i.e., \[60>C\] \[\Rightarrow \,\,\,\,sin\,60\,\,>\,\,sin\,C\] \[\Rightarrow \,\,\,\,\frac{\sqrt{3}}{2}>\frac{{{\mu }_{Liquid}}}{{{\mu }_{\Pr ism}}}\,\,\,\Rightarrow \,\,{{\mu }_{Liquid}}\,<\,\,\frac{\sqrt{3}}{2}\times {{\mu }_{\Pr ism}}\] \[\Rightarrow \,\,\,\,{{\mu }_{Liquid}}<\,\,\frac{\sqrt{3}}{2}\times 1.5\,\,\,\Rightarrow \,\,\,{{\mu }_{Liquid}}\,<\,\,1.3\]


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