A 2.26 cm tall object is placed in 18.6 cm in front of a convex lens. The focal length is 35.8 cm. How far is the image from the lens?

Question

A 2.26 cm tall object is placed in 18.6 cm in front of a convex lens. The focal length
is 35.8 cm. How far is the image from the lens?

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Jezebel 2 weeks 2021-08-30T01:26:31+00:00 1 Answers 0 views 0

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    2021-08-30T01:28:01+00:00

    Answer:

    the image is -38.7 cm from the lens

    Explanation:

    We use the lens equation which says  

    $\frac{1}{u}+\frac{1}{v}=\frac{1}{f}  $

    where u is the distance to the object, v is the distance to the image, and f  is the focal length.

    Now, in our case

    u =18.6cm,

    v= 35.8cm,

    f = 35.8cm;

    therefore,

    $\frac{1}{18.6}+\frac{1}{v}=\frac{1}{35.8}  $

    $\frac{1}{v}=\frac{1}{35.8}-\frac{1}{18.6}  $

    \boxed{v=-38.7cm}

    where the negative sign indicates that the image is virtual and on the same side of the lens as the object.

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