A concave mirror has a focal length of 63.6 cm. (a) What is its radius of curvat
ID: 1390278 • Letter: A
Question
A concave mirror has a focal length of 63.6 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.)
A) real
B) virtual
C) upright
D) 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.)
A) real
B) virtual
C) upright
D) inverted
Explanation / Answer
A.
As
R = 2f
Then
R = 127.2 cm [ANSWER]
***********
B.
Note that
1/f = 1/do + 1/di
where
f = focal length = 63.6 cm
do = object distance = 1.00E+02 cm
di = image distance
Thus, solving for di,
di = 174.725 cm [ANSWER]
******************
Thus, the magnification, m = -di/do,
m = -1.747252747
Thus, it is REAL (as di > 0) and INVERTED (as m < 0). [ANSWER]
*********************
Note that
1/f = 1/do + 1/di
where
f = focal length = 63.6 cm
do = object distance = 1.00E+01 cm
di = image distance
Thus, solving for di,
di = -11.86567164 cm [ANSWER, PART C]
Thus, the magnification, m = -di/do,
m = 1.186567164
Thus, it is VIRTUAL (as di < 0) and UPRIGHT (as m > 0). [ANSWER]
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