An object of 2.5cm long is placed on the axis of a concave mirror of 30cm radius of curvature at a distance of 10cm from it. Find the position and nature of the image formed.
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Answer:
Given :- height of object 2.5 cm, Radius of curvature 30 cm, focal length 15 cm, object distance 10 cm
Solution:-
By using mirror equation
1/f = 1/v + 1/u
As object is placed in between focus and pole so image will be obtained behind the mirror..
By using sign convention,
f & u will be negative..
By Substituting all the values..
(-1/15) = 1/v + (-1/10)
You will get V = 30 cm
By using magnifying power formula
M. P = image distance / object distance
M. P = 30/ 10 =3
By one more formal of magnify power
M. P = size of image / size of object
3 = size of image / 2.5
Therefore, size of image is 3 * 2.5 = 7.5 cm
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Answer:
v=30,m=3,h'=7.5 OK OK OK OK
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