Spherical refracting surfaces. An object O stands on the central axis of a spher

Question

Spherical refracting surfaces. An object O stands on the central axis of a spherical refracting surface. For this situation (see the table below, all distances are in centimeters), n1 is the index of refraction where the object is located, n2 is the index of refraction on the other side of the refracting surface. Find (a) the image distance i, and determine whether the image is (b) real or virtual and (c) on the same side of the surface as object O or on the opposite side.
Spherical refracting surfaces. An object O stands on the central axis of a spherical refracting surface. For this situation (see the table below, all distances are in centimeters), n1 is the index of refraction where the object is located, n2 is the index of refraction on the other side of the refracting surface. Find (a) the image distance i, and determine whether the image is (b) real or virtual and (c) on the same side of the surface as object O or on the opposite side.
Spherical refracting surfaces. An object O stands on the central axis of a spherical refracting surface. For this situation (see the table below, all distances are in centimeters), n1 is the index of refraction where the object is located, n2 is the index of refraction on the other side of the refracting surface. Find (a) the image distance i, and determine whether the image is (b) real or virtual and (c) on the same side of the surface as object O or on the opposite side.

Explanation / Answer

Since, you didn't mention the required table, I'm considering my values, please follow the same procedure with your values.

Focal length, f = +20 cm (positive, because the mirror is concave).(assuming)

The object distance, p = +10 cm, (assuming)

A) The image distance is i = (1/f – 1/p)-1 = (1/20 – 1/10 )–1 = –20 cm.

B) The image is virtual (V).

C) A virtual image is formed on the opposite side of the mirror from the object.

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