Question

Which best describes the image of a concave mirror when
the object is located somewhere between the focal point
and twice the focal point distance from the mirror?

Answer 1

Answer:

when the object goes from the focal length to twice the focal length the image goes from infinity to twice the focal length, this image is real and inverted

Explanation:

Let's use the constructor equation to describe the image of a concave mirror

    1 / f = 1 / p + 1q

where f is the focal length, p and q the distance to the object and the image, respectively

     1 /q = 1/f - 1/p

tell us that the image is between the focal and twice the focal, let's calculate the position of the image

for both ends

case 1, distance to the object       p = f

     

       1 / q = 1 / f -1 / f

       1 / q = 0

       q = ∞

    the image is in infinity

case2, distance to object p = 2f

     1 / q = 1 / f - 1 / 2f

     1 / q = 1 / 2f

     q = 2f

the image is twice the focal length, the object and the image are at the same point

therefore the image when the object goes from the focal length to twice the focal length the image goes from infinity to twice the focal length, this image is real and inverted

Answer 2

The best description of the image of a concave mirror when the object is located somewhere between the focal point and twice the focal point distance from the mirror is; the image goes from infinity to twice the focal length, this image is real and inverted

Concave mirror:

By the use of the constructor equation to describe the image of a concave mirror;

• 1 / f = 1 / p + 1q

In which case;

f is the focal length, p and q the distance to the object and the image, respectively

• 1 /q = 1/f - 1/p

Since, the image is between the focal and twice the focal, let's calculate the position of the image

for both ends

First case; distance to the object; p = f

• 1 / q = 1 / f -1 / f

• 1 / q = 0

• q = ∞ = infinity

the image is in infinity

Second case; distance to object; p = 2f

• 1 / q = 1 / f - 1 / 2f

• 1 / q = 1 / 2f

• q = 2f

Then the image is twice the focal length, the object and the image are at the same point

The image when the object goes from the focal length to twice the focal length can then be described as follows; the image goes from infinity to twice the focal length, this image is real and inverted

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