A 3.50 cm tall object is held 24.8 cm from a lens of focal length 16.0 cm. What is the image height?

Question

A 3.50 cm tall object is held 24.8 cm from a lens of focal length 16.0 cm. What is the image height?

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Amity 4 years 2021-08-20T09:28:01+00:00 2 Answers 8 views 0

Answers ( )

  1. Edana
    0
    2021-08-20T09:29:01+00:00
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    Answer:

    −6.36 cm

    Explanation:

    Works on Acellus

  2. vankhanh
    0
    2021-08-20T09:29:22+00:00
    Reply

    Answer:

    6.36 cm

    Explanation:

    Using the formula to first get the image distance

    1/f = 1/u+1/v

    f = focal length of the lens

    u = object distance

    v = image distance

    Given f = 16.0 cm, u = 24.8 cm

    1/v = 1/16 – 1/24.8

    1/v = 0.0625-0.04032

    1/v = 0.02218

    v = 1/0.02218

    v = 45.09 cm

    To get the image height, we will us the magnification formula.

    Mag = v/u = Hi/H

    Hi = image height = ?

    H = object height = 3.50 cm

    45.09/24.8 = Hi/3.50

    Hi = (45.09*3.50)/24.8

    Hi = 6.36 cm

    The image height is 6.36 cm

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