centre of curvature of convex mirror used on a moving automobile is 2 metre a truck is coming behind him at a constant distance of 3.5 M calculate the position nature and size
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Answered by
4
Given :
R = 2 m
=> focal length, f = R/2
=> f = 1 m
Object distance, u = -3.5 m
To find :
Position of the image, magnification and nature of the image.
Solution :
1/v + 1/u = 1/f
1/v = 1/f - 1/u
1/v = 1/1 - 1/(-3.5)
1/v = (3.5 + 1) / 3.5
1/v = 4.5 / 3.5
v = 3.5 / 4.5
v = 0.77 m
Therefore, the image will be formed at a distance of 0.77 m from the mirror.
Magnification, m = h'/h = - v/u
m = - (0.77) / (-3.5)
m = 0.77 / 3.5
m = 0.22 m
=> m < 1
Therefore, the image will be diminished, virtual and erect.
R = 2 m
=> focal length, f = R/2
=> f = 1 m
Object distance, u = -3.5 m
To find :
Position of the image, magnification and nature of the image.
Solution :
1/v + 1/u = 1/f
1/v = 1/f - 1/u
1/v = 1/1 - 1/(-3.5)
1/v = (3.5 + 1) / 3.5
1/v = 4.5 / 3.5
v = 3.5 / 4.5
v = 0.77 m
Therefore, the image will be formed at a distance of 0.77 m from the mirror.
Magnification, m = h'/h = - v/u
m = - (0.77) / (-3.5)
m = 0.77 / 3.5
m = 0.22 m
=> m < 1
Therefore, the image will be diminished, virtual and erect.
Answered by
3
Given :
R = 2 m
=> focal length, f = R/2
=> f = 1 m
Object distance, u = -3.5 m
To find :
Position of the image, magnification and nature of the image.
Solution :
1/v + 1/u = 1/f
1/v = 1/f - 1/u
1/v = 1/1 - 1/(-3.5)
1/v = (3.5 + 1) / 3.5
1/v = 4.5 / 3.5
v = 3.5 / 4.5
v = 0.77 m
Therefore, the image will be formed at a distance of 0.77 m from the mirror.
Magnification, m = h'/h = - v/u
m = - (0.77) / (-3.5)
m = 0.77 / 3.5
m = 0.22 m
=> m < 1
Therefore, the image will be diminished, virtual and erect.
Hope this helps u............
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