an image 2/3 of the size of the object is foemed by a convex lens at a distance of 12cm find the focal length of lens
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Magnification = image distance ÷ object distance
Object distance = u
Image distance = v
Magnification = m
m = v / u
Calculating u we have :
2/3 = 12 / u
u = 12 × 3/2 = 18cm
The lens formula :
1/f = 1/u + 1/v
Where f is the focal length.
Substituting the values into the formulae :
1/f = 1/18+ 1/12
Lcm = 36
1/f = ( 2 + 3)/36
1/f = 5/36
F = 36/5
f = 7.2cm.
Object distance = u
Image distance = v
Magnification = m
m = v / u
Calculating u we have :
2/3 = 12 / u
u = 12 × 3/2 = 18cm
The lens formula :
1/f = 1/u + 1/v
Where f is the focal length.
Substituting the values into the formulae :
1/f = 1/18+ 1/12
Lcm = 36
1/f = ( 2 + 3)/36
1/f = 5/36
F = 36/5
f = 7.2cm.
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