Punjab Medical Punjab - MET Solved Paper-2007

  • question_answer
    A simple telescope consisting of an objective of focal length \[60cm\] and a single eye lens of focal length \[5cm\] is focussed on a distant object in such a way that parallel rays comes out from the eye lens. If the object subtends an angle \[{{2}^{o}}\] at the objective, the angular width of the image is

    A) \[10{}^\circ \]                                   

    B) \[24{}^\circ \]

    C) \[50{}^\circ \]                                   

    D) \[\frac{1}{6}{}^\circ \]

    Correct Answer: B

    Solution :

    Magnification,\[m=\frac{{{f}_{0}}}{{{f}_{e}}}\] Also\[\text{m=}\frac{\text{Angle}\,\,\text{subtanded}\,\,\text{by}\,\,\text{the}\,\,\text{image}}{\text{Angle}\,\,\text{subtended}\,\,\text{by}\,\,\text{the}\,\,\text{object}}\] \[\therefore \]  \[\frac{{{f}_{o}}}{{{f}_{e}}}=\frac{\alpha }{\beta }\,\,\,\Rightarrow \,\,\,\alpha =\frac{{{f}_{o}}\times \beta }{{{f}_{e}}}\]                 \[=\frac{60\times 2}{5}\]                 \[={{24}^{o}}\]


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