A concave mirror has a focal length of 54.0 cm. (a) What is its radius of curvat

Question

A concave mirror has a focal length of 54.0 cm.
(a) What is its radius of curvature?
_________cm

(b) Locate the image when the object distance is 100 cm. (Indicate the side of the mirror with the sign of your answer.)
_________cm

Describe the properties of the image when the object distance is 100 cm. (Select all that apply.)

real
virtual
upright
inverted

(c) Locate the image when the object distance is 10.0 cm. (Indicate the side of the mirror with the sign of your answer.)
_______cm

Describe the properties of the image when the object distance is 10.0 cm. (Select all that apply.)

real
virtual
upright
inverted

Explanation / Answer

Part A)

The radius of curvature for a mirror is twice the focal length

R = 2(54) = 108 cm

Part B)

Using the formula

1/f = 1/p +1/q

1/54 = 1/100 + 1/q

q = 117.4 cm (in front of the mirror since its positive)

Since q is positive, the image is real.   Also, if we use the magnification formula of M = -q/p, we see that the magnification would come out negative which indicates the image is inverted.

Part C)

1/f = 1/p + 1/q

1/54 = 1/10 + 1/q

q = -12.c cm (in back of the mirror due to negative)

The negative indicates that the image is virtual (in back of the mirror). The magnification will come out positive, so the image is upright.

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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