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Q.

We wish to obtain an erect image of an object using a concave mirror of focal length . The range of distance of the object from the mirror is:

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a

b

0 > u > 12 cm

c

0 \geq u > 12 cm

d

0 \leq u < 12 cm

answer is A.

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Detailed Solution

Concept- We are aware that when held at various distances from the mirror, concave mirrors produce pictures of varying sizes and characteristics. To generalise the criteria for image generation, we may connect the separation between the object and the mirror and the focal length.
Concave mirrors are known as converging mirrors because they focus the incoming light to a single point, creating pictures. The focus of the mirror, whose distance from the mirror is known as the focal length, is where the rays from an infinite source are focused. The focal length of a mirror is typically half the distance from the spherical mirror's centre of curvature.
We are aware that the mirror equation may be used to determine the unknown values for a mirror. The mirror formula reads as follows:

Where f is the mirror's focal length,
v denotes the image distance,
u denotes the object distance.
Question Image

Question Image

The object must be positioned between the concave mirror and the mirror's focus for the concave mirror to produce an upright picture. The produced picture is a virtual image, as can be seen in the figure above. When the object distance is smaller than the range, we can get an erect image

in this case as the focal length is

As can be seen above, the picture is also larger than the thing.
Therefore, we may say that the generated picture is virtual and upright.
The item is smaller than the photograph.
The thing should fall inside that range

.
Hence, the correct answer is option 1.

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We wish to obtain an erect image of an object using a concave mirror of focal length . The range of distance of the object from the mirror is: