A 2cm high object is placed 12cm from a convex lems,perpendicular to its principal axis.The lens forms a real image,whose size is 1.5cm.Find the power the lens.
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Answer:
magnification= h1/h2
= 2/1.5
= 1.33
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height ofobject= 2cm
height of image= -1.5cm ( Since image is real and inverted )
u = -12cm
v= ?
We know,
m= height of image/height of object = v/u
m= -1.5/2 = v/-12
v= 18/2 = 9cm
From lens formula,
1/f= 1/v - 1/u
1/f= 1/9 - (-1/12)
= 1×4/9×4 + 1×3/12×3
= 7/36cm
f= 36/7cm
f = 36/700m
Also,
P= 1/f = 700/36 = 19.44D.
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