Given:
- Object height (h1) = 5 cm
- Object distance (d1) = 12 cm
- Focal length (f) = 8 cm
We can use the lens formula to calculate the image distance (d2) and magnification (m).
Lens formula:
1/f = 1/d1 + 1/d2
Substituting the given values:
1/8 = 1/12 + 1/d2
Simplifying the equation:
1/d2 = 1/8 - 1/12
1/d2 = (12 - 8)/(12 * 8)
1/d2 = 4/96
1/d2 = 1/24
d2 = 24 cm
Now, we can calculate the magnification:
Magnification formula:
m = -d2/d1
Substituting the values:
m = -24/12
m = -2
Therefore, the position of the image is 24 cm from the lens on the other side of the object, and the magnification is -2.
An object 5cm high is placed at a distance of 12cm from a convex lens of focal length 8cm calculate the position and magnification of the image
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