A 4.5 cm needle is placed 12 cm away from a convex mirror of focal length 15 cm. Give the location of the image and the magnification.The picture generated is smaller and upright, and its nature is virtual. The size of the picture steadily[[1]]as the needle is pushed further from the mirror.

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Detailed Solution

Concept- The size of the picture would decrease steadily. We are given the convex mirror, often known as the diverging mirror since it diverges a parallel stream of light. We are given the object's height, object distance, and the focal length of the convex mirror. To get our answer, we may apply the mirror formula.
Using the mirror formula,

As a result, the needle's image is 6.7 cm distant from the mirror. It's also on the other side of the mirror.
To determine the type and size of the picture, we must employ the idea of magnification.

The magnification comes out positive and less than one. As a result, the picture generated is smaller and upright, and its nature is virtual. The size of the picture steadily decreases as the needle is pushed further from the mirror.
Hence, the answer is decreases .

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