9303753286127016 The minimum distance between an object and its real image formed by a convex lens is:

The minimum distance between an object and its real image formed by a convex lens is:

 Suppose I be the real image of an object at O. Let d represent the distance between them. If the image is x distance from the lens’s centre, then the distance between the object and the lens’s centre is (dx).

As we know, sign convention for convex lenses.

Thus, u=−(d−x) and v=+x

1/f = 1/x − 1/−(d−x)

⇒ 1/f = 1/x + 1/(d−x)

⇒ x− xd − fd = 0

For a real image, the value of x must be a real number, for roots of equation will be real

when, d⩾ 4fd

d⩾4f

Hence, from the above equation we get the minimum distance between an object and its real image formed by a convex lens is

d=4f .

Balkishan Agrawal

At the helm of GMS Learning is Principal Balkishan Agrawal, a dedicated and experienced educationist. Under his able guidance, our school has flourished academically and has achieved remarkable milestones in various fields. Principal Agrawal’s vision for the school is centered on providing a nurturing environment where every student can thrive, learn, and grow.

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