Punjab Medical Punjab - MET Solved Paper-2010

  • question_answer
    Five identical lamps grouped together produce a certain illumination on a screen kept 5 m from the lamps. If three of the lamps are switched-off, through what distance should the group of lamps be moved to obtain the same illumination on the screen? (Assume normal incidence)

    A) \[\sqrt{10}m\]towards the screen

    B) \[(5+\sqrt{10})m\]towards the screen

    C) \[(5-\sqrt{10})m\]towards the screen

    D) \[(5-\sqrt{10})m\]away from the screen

    Correct Answer: C

    Solution :

    \[E\propto \frac{5}{{{5}^{2}}}\]and\[E=\frac{2}{{{x}^{2}}}\] But         \[E=E\] \[\Rightarrow \]               \[{{m}_{2}}{{v}_{2}}=\frac{3u}{2}\]                                          ? (i) To get same illuminance the remaining lamps should be moved\[(5-\sqrt{10})\]towards the screen.


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