an object 3cm high is placed at a distance of 8cm from a concave mirror produces a virtual image 4.5cm high
1)what is the focal length of the mirror
2) what is the position of the image
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Given :-
Height of the object (h) = 3 cm
Distance of the object (u) = -8 cm
Height of the virtual image (h') = 4.5
To Find :-
1)what is the focal length of the mirror
2) what is the position of the image
Solution :-
- v/u = h'/h
v = - u × h'/h
v = - ( -8) × 4.5 / 3
v = 12 cm
Therefore, the position is 12 cm.
By using mirror formula
1/f = 1/v + 1/u
1/f = 1/12 + 1/ -8
1/f = -1/24
24 = -f
f = -24 cm
Therefore, the focal length is - 24 cm.
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