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

  • question_answer
    Photographs of the ground are taken from an aircraft flying at an altitude of 2000 m by a camera with a lens of focal length 50 cm. The size of the film in the camera is 18 cm x 18 cm. The area of the ground that can be photographed by the camera is

    A)  \[720m\times 720m\]  

    B)  \[720m\times 720m\]

    C)  \[360cm\times 360cm\]

    D)  none of these

    Correct Answer: A

    Solution :

    \[\frac{Area\,\,of\,\,the\,\,image}{Area\,\,of\,\,the\,\,object}=\]Aerial magnification\[={{m}^{2}}\]where \[m\] is the linear magnification \[\therefore \]  \[m=\frac{f}{f+u}=\frac{0\cdot 5}{0\cdot 5}-2000\approx -\frac{1}{4000}\] Now, area of the image is equal to size of the camera film, therefore Area of object\[=\frac{Area\,\,of\,\,the\,\,image}{{{m}^{2}}}\]                 \[=18\times 18\times 4000\times 4000\] \[=72000\,\,cm\times 72000\,\,cm\] Note that \[m\] has no unit, so area of object is in same units as area of image.


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