is concave mirror of an object is placed at a distance of 10cm and images also from a distance of 10 cm also then find the position nature and the focal length
Answers
Answer:ocal length (f) = 15 cm
Distance of object from the convex mirror (u) = 10 cm
Image distance (v) = ?
1/v - 1/u = 1/f
1/v - 1/10 = 1/15
1/v = 1/5 + 1/10
1/v = 2 + 3 / 30
1/v = 5/30
1/v = 1/6
v = 6 cm
Image distance = 6 cm
Image distance is in positive, thus the image is formed behind the mirror, thus it's VIRTUAL and ERECT.
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Hope it helps you out
Explanation:
Heya we need to use some kind of common sense here.
Since it is given that the object distance, u= -10 cm and image distance, v = -10. It means the object is placed on centre I.e. C so that the image is formed on C
According to the properties of image made at C, the image formed will be real and inverted and will be of same size..
C = radius
Hence r = 10 cm
f = 5cm
See the pic for image formation