Image formed by concave mirror; completed need someone to check

In summary, a person wants to examine a bite on their tongue using a concave mirror placed 10 cm away. The resulting virtual image appears 4 times the actual size. The parameters s, s', and R are found to be 10 cm, -40 cm, and 26.6667 cm, respectively. The focal length is calculated to be 13.3333 cm using the formula 1/s + 1/s' = 1/f.
  • #1
hodgepodge
47
0

Homework Statement



A person accidentally bit his tongue and wants to examine the bite by using a concave mirror. The mirror is placed 10 cm from the bite with the result that a virtual image of the bite appears 4 times actual size. Find the parameters s (distance from object to mirror), s' (distance from mirror to image), and R (radius of convex mirror).

Homework Equations


1/s + 1/s' = 1/f ; f=focal length
Magnification = -s'/s
f = R/2

The Attempt at a Solution



i got s = 10 cm
then using magnification formula (4 = -s'/s)
i got s' = -40 cm (negative b/c its a virtual image)
i then got focal length = 13.3333 using formula 1
so if f=R/2; R = 26.6667 cm

any input would be appreciated
 
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  • #2
Hi hodgepodge

I think you got it right
 
  • #3
Your solution is correct.
 
  • #4
thanks
 

1. What is a concave mirror?

A concave mirror is a type of curved mirror where the reflective surface curves inward, creating a bowl-like shape. It is also known as a converging mirror because it focuses parallel light rays to a point.

2. How is an image formed by a concave mirror?

When an object is placed in front of a concave mirror, the light rays from the object reflect off the mirror's surface and converge at a point in front of the mirror. This point is known as the focal point and the image formed is real, inverted, and smaller than the object.

3. What factors affect the size and position of the image formed by a concave mirror?

The size and position of the image formed by a concave mirror are affected by the distance of the object from the mirror, the curvature of the mirror, and the location of the object relative to the focal point. Changing any of these factors can result in a larger or smaller image and a different position.

4. Can a concave mirror also form a virtual image?

Yes, a concave mirror can also form a virtual image under certain conditions. When the object is placed between the focal point and the mirror, the reflected light rays appear to come from behind the mirror, creating a virtual image that is upright and larger than the object.

5. How is the magnification of an image determined in a concave mirror?

The magnification of an image formed by a concave mirror is determined by the ratio of the image height to the object height. If the image is smaller than the object, the magnification is less than 1 and if the image is larger than the object, the magnification is greater than 1. The magnification can also be negative if the image is inverted.

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