A 3.39 cm tall object is placed in 36.7 cm in front of a convex mirror. The focal length is 17.4 cm. How far is the image from

Question

A 3.39 cm tall object is placed in 36.7 cm in front of a convex mirror. The focal
length is 17.4 cm. How far is the image from the mirror?

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Kiệt Gia 3 months 2021-08-30T01:23:53+00:00 1 Answers 2 views 0

Answers ( )

    0
    2021-08-30T01:25:50+00:00

    Answer:

    -11.8 cm

    Explanation:

    The position of the image can be found by using the mirror equation:

    \frac{1}{f}=\frac{1}{p}+\frac{1}{q}

    where:

    f is the focal length of the mirror

    p is the distance of the object from the mirror

    q is the distance of the image from the mirror

    In this problem, we have:

    f = -17.4 cm is the focal length of the mirror (negative for a convex mirror)

    p = 36.7 cm is the distance of the object from the mirror

    By solving for q, we can find the position of the image from the mirror:

    \frac{1}{q}=\frac{1}{f}-\frac{1}{p}=\frac{1}{-17.4}-\frac{1}{36.7}=-0.0847 cm^{-1}\\q=\frac{1}{-0.0847}=-11.8 cm

    And the negative sign indicates that the image is virtual (on the opposite side of the mirror).

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