A Point Object is Placed at a Distance of 30 Cm From a Convex Mirror of Focal Length of 30 Cm. The Image Will Form At________

By BYJU'S Exam Prep

Updated on: September 25th, 2023

The image will form at 15 cm behind the mirror.

Step 1. Given data

A point object is placed at a distance of 30 cm from a convex mirror of focal length of 30 cm

The object distance is determined by the sign convention in the mirror.

Focal length f = 30 cm

u = -30 cm

Now we have to find image distance v

Table of content

Step 2. Formula to be used.

A metal surface can be turned into a mirror by applying paint to the back and glass to the front.
The relationship between focal length, image distance, and object distance is represented by the mirror formula.

1/f = 1/u + 1/v

Here, f is the focal length, v is the distance between the mirror and the image, and u is the distance between the mirror and the object.

Step 3. Calculate the image distance.

Now, by using the mirror formula, we get,

1/30 = 1/-30 + 1/v

1/v = 1/30 + 1/30

1/v = 2/30

2v = 30

v = 15

The picture distance is 15 cm, and the sign that was acquired is positive.

The image is generated 15 cm behind the mirror, in accordance with the sign convention in mirrors.

Summary:-

A point object is placed at a distance of 30 cm from a convex mirror of focal length of 30 cm. The image will form at 15 cm behind the mirror

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