Question

1.a concave mirror has a focal length of 18 cm where will an image form if an object is placed 58 cm from the mirror? also if the object is 12 cm tall what will be the height of the image? is image erect or inverted ?real or virtual​?
2.where will the image form if the same object is places 36 cn in front of the same mirror as in ques.1?how tall is the image?
3.where will the image form if the same object is placed 32 cm in front of the same mirror as in ques 1.?
how tall is the image?
4.where will the image form if the same object is placed 15 cm in front of a convex mirror as in ques 1.?how tall is the image?is the image erect or inverted?real or virtual?​
5.where will the image form if the same object is placed 15 cm infront of the convex mirror with focal length of 18 cm ?how tall is the image ?is the image erect or inverted?real or virtual?

Answer 1

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Answer is Virtual

Answer 2

Given:

The focal length of concave mirror = 18cm

The height of object = 12cm

The focal length of convex mirror = 18cm

To Find:

The distance and nature of images formed at different locations.

Solutions:

The distance of the image formed is the object is placed 58cm in front of the concave mirror.

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

So, v = 21.75cm behind the mirror.

Magnification of image, $m = -\frac{v}{u}$$= \frac{I}{O}$

So, size of the image = 7.25cm

And the image formed is virtual and erect.

2) Similarly, the image formed if the object is placed at a distance of 36cm in front of the mirror is 36 cm in front of the mirror. The image formed is of the same height as the object and is real and inverted.

3)The image formed if the distance of the object is 32cm in front of the mirror is 41.42cm in front of the mirror.

The image formed has a height of 5.14cm and is real and inverted.

4)The image is formed at a distance of 90cm behind the mirror if the object is placed 15cm in front of the mirror.

The image formed has a height of 60cm and is erect and virtual.

5) The image formed if the object is placed 15cm in front of the convex mirror of focal length 18cm is at a distance of 8.17cm behind the mirror.

The image formed is of height 32.2cm and is virtual and erect.