concave spherical mirror has a radius of curvature of magnitude 19.0 cm. (a) Fin
ID: 1376935 • Letter: C
Question
concave spherical mirror has a radius of curvature of magnitude 19.0 cm.
(a) Find the location of the image for the following object distances. (If there is no image formed enter "NONE".)
(b) For each case, state whether the image is real or virtual.
(c) For each case, state whether the image is upright or inverted.
(d) Find the magnification in each case. (If there is no image formed enter "NONE".)
Explanation / Answer
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A concave spherical mirror has a radius of curvature of magnitude 19.8 cm.
(a) Find the location of the image for the following object distances. (If there is no image formed enter "NONE".)
(b) For each case, state whether the image is real or virtual.
(c) For each case, state whether the image is upright or inverted.
(d) Find the magnification in each case. (If there is no image formed enter "NONE".)
Answer
The radius of curvature of the mirror R = 19.8cm
then the focal length f = R/2 = 9.9 cm
(a) From mirror formula
1/f = 1/di + /1do
then the image distance
di = fdo / do - f
= (9.9)(40.6) / 40.6 - 9.8
= 13.09cm
since the image distance is positive so the image is real
when the object distance 19.8cm
di = (9.9)(19.8) / 19.8 - 9.9
= 19.8 cm
the image real
whenthe object distance d0 = 9.9
di = (9.9)(19.8) / 9.9-9.9 = ? (infinite)
the image is real
Magnification m1 = - 13.09/40.6 = - 0.322
m2 = - 19.8 / 19.8 = -1
and m3 = - infinite/9.9 = - inifinte
since the magnification is negative so all the images are inverted
object distance (cm) image distance (cm) location 40.6 19.8 9.9Related Questions
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