You are provided with a convex lens of focal length 50 cm. To obtain a smaller inverted image, the distance of object from the lens should be
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You are provided with a convex lens of focal length 50 cm. To obtain a smaller inverted image, the distance of object from the lens should be
Answered by
1
Answer:
Image formed is real and inverted
∴ Magnifications (m) = -1
Since the image is real, image distance is a positive value.
Image distance (v) = 50 cm
Let the object distance be u
Magnification in a lens (m) = v/u
-1 = 50/u
u = -50 cm
The needle is placed 50 cm in front of the convex lens.
Need to find the focal length (f)
According to the lens formula,
1/f = 1/v – 1/u
1/f = 2/50
1/f = 1/25
f = 25cm
Power of the lens p = 1/f
P = 1/25cm-1
P = 1/25 × 10-2 m-1
P = 4m-1
Since 1m-1 = 1D
∴ P = 4D
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