RAJASTHAN PMT Rajasthan - PMT Solved Paper-2009

  • question_answer
    The focal lengths of the objective and eye-piece of a telescope are respectively 100 cm and 2 cm. The moon substends an angle of \[0.5{}^\circ \] at the eye. If it is looked through the telescope, the angle subtended by the moons image will be

    A) \[100{}^\circ \]      

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

    C)  \[25{}^\circ \]                  

    D)        \[10{}^\circ \]

    Correct Answer: C

    Solution :

    Given,\[{{f}_{o}}=100\,\,cm,\,\,{{f}_{e}}=2\,\,cm\] Visual angle subtended by moon\[(\alpha )={{0.5}^{o}}\] Visual angle subtended at eye with moons image\[(\beta )=?\] Magnifying power of telescope\[(M)=\frac{\beta }{\alpha }=\frac{{{f}_{o}}}{{{f}_{e}}}\] \[\therefore \,\,\,\,\,\,\,\beta =\alpha \,.\,\frac{{{f}_{0}}}{{{f}_{e}}}\,=0.5\,\times \,\frac{100}{2}\,={{25}^{o}}\]


You need to login to perform this action.
You will be redirected in 3 sec spinner