A 1.70 m tall woman stands 5.00 m in front of a camera with a 50.00 cm focal length lens. Calculate the size of the image formed on fli

Question

A 1.70 m tall woman stands 5.00 m in front of a camera with a 50.00 cm focal
length lens. Calculate the size of the image formed on flim​

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Adela 3 years 2021-08-27T04:55:05+00:00 1 Answers 5 views 0

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  1. mit
    0
    2021-08-27T04:56:52+00:00
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    Answer:

    18.89cm

    Explanation:

    As we know that the person is standing 5m in front of the camera

    d_0=5m=500cm

    The focal length of the lens =50cm

    f=50 cm

    By Lens formula we have:

    \dfrac{1}{f} = \dfrac{1}{d_i} + \dfrac{1}{d_o}\\\dfrac{1}{50} = \dfrac{1}{d_i} + \dfrac{1}{500}\\\dfrac{1}{d_i} =\dfrac{1}{50}-\dfrac{1}{500}\\\dfrac{1}{d_i}=0.018\\d_i=55.56cm

    By the formula of magnification

    \dfrac{h_i}{h_o} = \dfrac{55.56}{500}\\\\h_i = \dfrac{55.56}{500} \times h_o\\\\ h_o=1.70m=170cm\\\\Therefore: h_i=\dfrac{55.56}{500} \times$ 170 cm\\\\h_i =18.89 cm

    The height of the image formed is 18.89cm.

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