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a concave mirror has the focal length equal to 0.927 m. to form a real image that is triple the size of the object on a screen, at what distance in front of the mirror should the object be placed (in m; answer a positive number)?



Answer :

The object needs to be placed 0.618 meters from the concave mirror in order to obtain an image of it three times.

What do you mean by concave mirror?

  • When it hits the concave mirror's reflecting surface, light converges at a single point and returns to the observer. It is sometimes referred to as a converging mirror for this reason.
  • Obtaining an enlarged, upright, and virtual image requires placing the concave mirror very close to the item.
  • A true and inverted image is created when the distance between the item and the mirror is increased, though the size of the image decreases.
  • The size and reality of the picture created by the concave mirror are also up for debate.

Given,  

Focal length(f) = 0.927 m

Let the size of object is u,

Then according to question,

Size of image is 3u

For a concave mirror,

[tex]\frac{1}{f}[/tex] = [tex]\frac{1}{v}[/tex] - [tex]\frac{1}{u}[/tex]

[tex]\frac{1}{0.927}[/tex] = [tex]\frac{1}{3u}[/tex] - [tex]\frac{1}{u}[/tex]

u = -0.618 m

Distance will never be in negative.

Hence, u= 0.618 m

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