You have a concave spherical mirror (the same holds if you had a convex mirror) If the value of q (the distance from the image to the mirror along the principal axis of the mirror) is 1.86m and the distance of p (the distance from the object to the mirror along the principal axis of the mirror) is 3.7m, what is the focal length of the mirror? P h A C k B h' Q k P 9 V

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You have a concave spherical mirror (the same holds if you had a convex mirror) If the value of q
(the distance from the image to the mirror along the principal axis of the mirror) is 1.86m and the
distance of p (the distance from the object to the mirror along the principal axis of the mirror) is
3.7m, what is the focal length of the mirror?
P
h
A
C
B
h'
Q
I
k
9
P
1
The magnification equation and the sign convention for q imply that real images of real objects are
always inverted (if both p and q are positive, m is negative); virtual images of real objects are always
upright (if p is positive and q is negative, m is positive). Keeping the signs of p and q straight in your
mind is the most challenging aspect of mirrors (and lenses). Fortunately, table 23.2 summarizes
when p and q are positive and when they are negative.
Transcribed Image Text:You have a concave spherical mirror (the same holds if you had a convex mirror) If the value of q (the distance from the image to the mirror along the principal axis of the mirror) is 1.86m and the distance of p (the distance from the object to the mirror along the principal axis of the mirror) is 3.7m, what is the focal length of the mirror? P h A C B h' Q I k 9 P 1 The magnification equation and the sign convention for q imply that real images of real objects are always inverted (if both p and q are positive, m is negative); virtual images of real objects are always upright (if p is positive and q is negative, m is positive). Keeping the signs of p and q straight in your mind is the most challenging aspect of mirrors (and lenses). Fortunately, table 23.2 summarizes when p and q are positive and when they are negative.
Expert Solution
Step 1

Given that,

The object's distance from the concave mirror is p=-3.7m

The image's distance from the concave mirror is q=-1.86m

 

sign convention: the direction of light is always positive. from the figure, the object and the image both are measured from the mirror, then both are in the opposite direction of the light, so they are negative.  

 

Mirror formula

1f=1p+1q

where f is the focal length of the mirror.

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