A 2.15 cm tall object is placed in 22.5 cm in front of a concave mirror. The focal length is 29.8 cm. How far is the image from the mi

Question

A 2.15 cm tall object is placed in 22.5 cm in front of a concave mirror. The focal
length is 29.8 cm. How far is the image from the mirror?

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Gerda 3 years 2021-08-30T01:17:47+00:00 1 Answers 13 views 0

Answers ( )

  1. Cherry
    0
    2021-08-30T01:19:30+00:00
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    The image is 12.8 cm far from the mirror.

    Explanation:

    Given:

    Height of the object=2.15 cm

    To Find:

    Distance between the image and mirror.

    Solution:

    Object distance u=-22.5 cm(object is always placed to the left of the mirror and distances to the left are indicated by negative sign)

    Focal length=+29.8 cm(concave mirror has a positive focal length)

    The image distance can be calculated using the mirror equation.

    1/f=1/v+1/u

    1/v= 1/f-1/u

    =1/29.8-1/-22.5\\\\1/v=1/29.8+1/22.5\\\\v=12.82 cm

    Thus we can conclude that the image is 12.82cm far from the mirror.

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