A concave spherical mirror has a radius of curvature of 40 cm. Locate the images
ID: 1582631 • Letter: A
Question
A concave spherical mirror has a radius of curvature of 40 cm. Locate the images for object distances as given below. In each case, state whether the image is real or virtual and upright or inverted, and find the magnification. (If an answer does not exist, enter DNE. If an answer is infinity, enter INFINITY) (a) p-20 cm image distance image orientation Select magnification cm -. (b) p 40 cm image distance image orientationSelect magnification cm 5 (c) p-49 cm image distance image orientation magnification cm Select…Explanation / Answer
here,
radius of curvature , r = 40 cm
focal length , f = r/2 = 20 cm
a)
the object distance , do = 20 cm
let the image distance be di
using the mirror formula
1/f = 1/di + 1/do
1/20 = 1/di +1/20
solving for di
di = infinite
the image is inverted
magnification , m = - di/do
m = - infinite /20 = infinite
b)
the object distance , do = 40 cm
let the image distance be di
using the mirror formula
1/f = 1/di + 1/do
1/20 = 1/di +1/40
solving for di
di = 40
the image is inverted
magnification , m = - di/do
m = - 40 /20 = -2
c)
the object distance , do = 49 cm
let the image distance be di
using the mirror formula
1/f = 1/di + 1/do
1/20 = 1/di +1/49
solving for di
di = 33.8 cm
the image is inverted
magnification , m = - di/do
m = - 33.8 /20 = - 1.7
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