An object 4cm in size is placed at a distance of 25cm from a concave mirror of focal length 15 cm. Find the position, nature and height of image.
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Answer:
Explanation:
Given :
Object distance u = 25 cm
Focal length f = 15 cm
We have mirror formula :
1 / f = 1 / v + 1 / u
- 1 / 15 = 1 / v - 1 / 25
1 / v = 1 / 25 - 1 / 15
5 / v = 1 / 5 - 1 / 3
5 / v = ( 3 - 5 ) / 15
5 / v = - 2 / 15
v = - 75 / 2 = - 37.5 cm
We know :
h_i / h_o = - v / u
Where i and o represent image and object
h_i = - ( - 37.5) × 4 / 25
h_i = 6 cm
Nature of the image are as :
Real , inverted and magnified.
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