10th Class Science Light - Reflection and Refraction Question Bank Light

  • question_answer
    The angle of crown glass (\[\mu =1.52\]) prism \[{{5}^{\circ }}\] What should be the angle of flint glass  (\[\text{ }\mu =\text{ 1}.\text{63}\]) prism so that the two prisms together may be used in a direct vision spectroscope?

    A) \[-\text{2}.\text{14}{}^\circ \]                   

    B)         \[+\text{2}.\text{14}{}^\circ \]

    C) \[-\text{4}.\text{12}{}^\circ \]                     

    D)         \[+\text{4}.\text{12}{}^\circ \]

    Correct Answer: C

    Solution :

     For direct vision spectroscope,                          \[{{\delta }_{1}}+{{\delta }_{2}}=0\] \[\therefore \]  \[({{\mu }_{1}}-1){{A}_{1}}+({{\mu }_{2}}-1){{A}_{2}}=0\] \[\Rightarrow \]               \[{{A}_{2}}=-\left[ \frac{{{\mu }_{1}}-1}{{{\mu }_{2}}-1} \right]{{A}_{1}}\]                      \[=-\left[ \frac{1\cdot 52-1}{1\cdot 63-1} \right]\times {{5}^{o}}\mathbf{=-4}\mathbf{.1}{{\mathbf{2}}^{\mathbf{o}}}\]


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