A object 5 cm in length is placed at a distance of 10cm from a convex mirror of radius of curvature 15 cm find the nature position and size of image
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Answers
Explanation:
u = -10cm
h = 5cm
R = 15cm
f = R/2 = 15/2 = 7.5cm
Nature of Image = ?
v = ?
m = ?
Now,
By mirror formula --
1/f = 1/v + 1/u
1/7.5 = 1/v + 1/-10
1/v = 1/7.5 - 1/-10
1/v = 10/75 + 1/10
1/v = 7/30
v = 30/7
v = 4.28 cm
Position of the Image is at 4.28 cm behind the mirror
Now ,
By magnification formula
m = -v/u = h'/h
-4.28/-10 = h'/5
h' = 0.428/5
h' = 0.08 cm
Size of the Image is 0.08 cm
Then ,
m = -v/u
m = -4.28/-10
m = 0.428
Magnification of Image is 0.428
So, From these all observations
Nature -> Virtual or Erect and Diminished
Position -> 4.28cm
Size -> 0.08cm
..................Thank You