An object is placed perpendicular to the the principal axis of convex lens of focal length 8,the distance of the object from the lens is 12c

Question

An object is placed perpendicular to the the principal axis of convex lens of focal length 8,the distance of the object from the lens is 12cm .Find the position &nature of the image​

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Khoii Minh 3 years 2021-09-04T00:41:38+00:00 1 Answers 5 views 0

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  1. mit
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    2021-09-04T00:43:21+00:00
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    Answer:

    v = 24 cm and inverted image

    Explanation:

    Given that,

    The focal length of the object, f = +8 cm

    Object distance, u = -12 cm

    We need to find the position &nature of the image​. Let v be the image distance. Using lens formula to find it :

    \dfrac{1}{v}-\dfrac{1}{u}=\dfrac{1}{f}

    Put all the values,

    \dfrac{1}{v}=\dfrac{1}{f}+\dfrac{1}{u}\\\\\dfrac{1}{v}=\dfrac{1}{8}+\dfrac{1}{(-12)}\\\\v=24\ cm

    So, the image distance from the lens is 24 cm.

    Magnification,

    m=\dfrac{v}{u}\\\\m=\dfrac{24}{-12}\\\\m=-2

    The negative sign of magnification shows that the formed image is inverted.

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