An object is located 5 cm to the left of a concave mirror that has a radius of c

Question

An object is located 5 cm to the left of a concave mirror that has a radius of curvature of 20 cm. a. Calculate the image distance from the mirror. b. What is the distance between the image and the object? c. Calculate the magnification of the image and state whether the image is real or virtual: upright or inverted: and enlarged, reduced, or the same size as the object. d. If the height of the image is 4 cm, find the height of the object. e. Construct a ray diagram for this arrangement to locate the image. Draw at least two rays from the object to determine the location of the image. From your drawing, determine the image distance and show that it is consistent with what you found in part a. f. For the same mirror, where should an object be placed (i.e., find s) to produce a virtual image 5 cm from the mirror.

Explanation / Answer

given
object distance, u = - 5cm
focal length of the concave mirror, f = -R/2 = -20/2 = -10 cm

a) let the image distance be v
then from mirror formula
1/v + 1/u = 1/f
1/v = -1/10 + 1/5
v = 10 cm
behind the mirror

b) distance between image and object = v - u = 10 + 5 = 15 cm
c) magnification = -v/u = 10/5 = 2
   so m > 0 so the image is erect and virtual
   m > 1 so the image is magnififed
d) h image = 4 cm
    h object = ?
    h image/h object = 4 / h object = 2
    h object = 2 cm

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.