The radius of curvature of a spherical concave mirror is 20 cm. Describe the ima

Question

The radius of curvature of a spherical concave mirror is 20 cm. Describe the image formed when a 12-cm-tall object is positioned from the following distances. For each case give the image distance, the image height, the type of image (real or virtual), and the orientation of the image (upright or inverted). (Indicate the direction with the sign of your answer.) 5 cm from the mirror The image is virtual and upright The image is virtual and inverted The image is real and upright The image is real and inverted 20 cm from the mirror The image is virtual and upright The image is virtual and inverted The image is real and upright The image is real and inverted 50 cm from the mirror The image is virtual and upright The image is virtual and inverted The image is real and upright The image is real and inverted 100 cm from the mirror. The image is virtual and upright The image is virtual and inverted The image is real and upright The image is real and inverted

Explanation / Answer

R = 20 cm so f = R/2 = 10 cm

ho = 12 cm

m = -v/u

1/v+1/u = 1/f

case1

u = -5 and f= - 10 cm

1/ v +1/ -5 = 1/-10

V = 10 virtual erect

m = -v/u = -10/ -5 = 2

hieght of image Hi = 2*12 = 24 cm

case 2

u= -20 cm so from the formula we got

v= -20 r real inverted

Hi = -v/u *12 = 1* 12 = 12 cm

case2

u =-50

v = -12.5 cm real inverted

m= -v/u = -(-12.5) / -50 = -0.25

Hi = 0.25*12 = 3 m

case4

u= -100

v= -11.11 cm real inverted

m= - ( -11.11/ -100) = -0.11

Hi = 0.11*12 = 1.32 cm

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