Question

The image of an object formed by a convex lens is the image same size as that of object te image is formed at a distance of 50 cm from the lens ag what distance from the lens is the object placed ? Find the focal length and the power of lens used

Answer 1

Answer:

Same size of image is formed by a convex lens only when the object is placed at a distance u=2f from the optical center and image is also formed at distance 2f on other side of lens.

⟹2f=50

⟹f=25cm

P=f(m)1=0.251

⟹P=+4D

Explanation:

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Answer 2

Explanation:

As the lens is a convex lens:

v=+50cm

As the image and object is of the same size:

m=-1 as the image is real and inverted

m=v/u

-1=50/u

-u=50

u=50cm

Using lens formula:

1/f=1/v - 1/u

1/f=1/50 - 1/-50

1/f=1/50 + 1/50

1/f=1+1/50

1/f=2/50

1/f=1/25

f=+25cm or 0.25m

Power of a lens:1/f (in meters)

P=1/f

P=1/0.25

P=+4D