A small object is placed on the principal axis of a convex mirror of focal length 10cm . Determine the position of the image when the object

Question

A small object is placed on the principal axis of a convex mirror of focal length 10cm . Determine the position of the image when the object is 15cm from the mirror.​

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Gerda 5 months 2021-08-27T23:04:16+00:00 1 Answers 0 views 0

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    2021-08-27T23:06:06+00:00

    Answer:

    v = 6 cm

    Explanation:

    We have,

    A small object is placed on the principal axis of a convex mirror of focal length 10 cm. The focal length of a convex mirror is positive. So, f = +10 cm

    It is required to find the position of the image when the object is 15 cm from the mirror.​ Using mirror’s formula :

    \dfrac{1}{v}+\dfrac{1}{u}=\dfrac{1}{f}

    v is image distance

    \dfrac{1}{v}=\dfrac{1}{f}-\dfrac{1}{u}\\\\\dfrac{1}{v}=\dfrac{1}{+10}-\dfrac{1}{(-15)}\\\\v=6\ cm

    Hence, the image will formed at a distance of 6 cm form the mirror.

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