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Magnification produced by a lens is equal to:
Question

Magnification produced by a lens is equal to:

A.

v/u

B.

-v/u

C.

u/v

D.

-u/v

Correct option is A

The correct answer is (A) v/u.

The magnification (M) produced by a lens is defined as the ratio of the height of the image (hih_ihi​) to the height of the object (ho). It can also be expressed in terms of the distances of the image (v) and the object (u) from the lens:

M=hiho=vuM= \frac{h_i}{h_o} = \frac{v}{u}​​

Here:

  • v: The image distance (distance from the lens to the image).
  • u: The object distance (distance from the lens to the object).

This formula is applicable for both convex and concave lenses. The sign convention depends on the specific situation, but for magnification, the basic formula remains M=v/u.

Clarification of Other Options:

  •  This formula is used when applying the sign convention for virtual images in certain situations.
  •  u/v and  -u/v: These are incorrect because magnification is defined as the ratio of vvv to uuu, not the reverse.

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