©An object 5 cm in height is placed at a distance 20 cm in front of convex mirror of radius of curvature is 30cm. Find the position of image , its nature and size
# 10points
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Answers
Answered by
3
Hey there !!!!
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Object distance = 20cm
Using sign conventions u = -20cm
Radius of curvature = 30cm = R
R =2f
f= R/2 = 15cm
Focal length = 15cm
Using sign conventions focal length = -15cm
Using mirror formula
1/v+1/u=1/f
1/v= 1/f-1/u
1/v = -1/15-1/(-20)
1/v = -1/15+1/20
1/v = -4+3/60
1/v = -1/ 60
v =-60cm
Image is formed beyond focal point and Center of curvature so image is "real"
Magnification = -v/u = -(-60)/-20 = -3
-3= Height of image / Height of object
-3 = Height of image / 5
Height of image = 15cm
Negative sign indicates image is inverted
So image formed is real, inverted and height of image = 15cm
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~``
Hope this helped you...............
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Object distance = 20cm
Using sign conventions u = -20cm
Radius of curvature = 30cm = R
R =2f
f= R/2 = 15cm
Focal length = 15cm
Using sign conventions focal length = -15cm
Using mirror formula
1/v+1/u=1/f
1/v= 1/f-1/u
1/v = -1/15-1/(-20)
1/v = -1/15+1/20
1/v = -4+3/60
1/v = -1/ 60
v =-60cm
Image is formed beyond focal point and Center of curvature so image is "real"
Magnification = -v/u = -(-60)/-20 = -3
-3= Height of image / Height of object
-3 = Height of image / 5
Height of image = 15cm
Negative sign indicates image is inverted
So image formed is real, inverted and height of image = 15cm
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~``
Hope this helped you...............
pankaj12je:
wc :)
Answered by
0
Answer:
Explanation:
20 cm
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