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Mirror formula is :
Question

Mirror formula is :

A.

f = u + v

B.

f = 1u+1v\frac{1}{u} + \frac{1}{v}​​

C.

f=u+vuvf= \frac{u + v}{uv}​​

D.

1f=1u+1v\frac{1}{f} = \frac{1}{u} + \frac{1}{v}​​

Correct option is D

The correct answer is: (D) 1f=1u+1v\frac{1}{f}= \frac{1}{u} + \frac{1}{v}

Explanation:

The mirror formula is an important equation in optics that relates the object distance uu, the image distance vv, and the focal length ff of a mirror. The formula is given as:

1f=1u+1v\frac{1}{f} = \frac{1}{u} + \frac{1}{v}​​

This equation is used to calculate the relationship between the distances of the object and the image from the mirror, where:

  • u is the object distance (distance from the mirror to the object),

  • v is the image distance (distance from the mirror to the image),

  • f is the focal length of the mirror.

Information Booster:

  • The mirror formula is used for both concave and convex mirrors.

  • It helps to find the position of the image formed by the mirror.

  • The sign convention for distances is important when using this formula: for a concave mirror, the object distance is negative if the object is in front of the mirror, and the image distance is positive if the image is real.

  • The mirror formula is derived from the lens formula, as both deal with the relationships between focal length, object distance, and image distance.

  • For real images, the image distance v is positive, while for virtual images, v is negative.

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