A object of height 50cm is placed 100cm in front of a plane mirror.find

(.A)the image distance.
B)the distance between the object and the
image .
C)the height of the image

200cm

To find the answers, we can use the mirror equation given by:

1/f = 1/do + 1/di

where:
f is the focal length of the mirror (which is infinity for a plane mirror),
do is the object distance,
and di is the image distance.

A) To find the image distance (di):
Since the object is placed 100 cm in front of the mirror, do = -100 cm (negative because the object is in front of the mirror).
Substituting these values into the mirror equation, we get:
1/infinity = 1/-100 + 1/di
di = -100 cm (as 1/infinity = 0)

Therefore, the image distance is -100 cm (negative sign indicates that the image is formed behind the mirror).

B) To find the distance between the object and the image:
The distance between the object and the image is the sum of their absolute values:
Distance = |do| + |di|
Distance = |-100| + |-100|
Distance = 100 cm + 100 cm
Distance = 200 cm

Therefore, the distance between the object and the image is 200 cm.

C) To find the height of the image:
The height of the image can be determined using the magnification equation given by:
Magnification (m) = -di / do

Since the object distance (do) is -100 cm and the image distance (di) is -100 cm, substituting these values into the magnification equation:
m = -(-100) / (-100)
m = 1

The magnification is 1, which means the image is the same size as the object.

Therefore, the height of the image is the same as the height of the object, which is 50 cm.

To solve this problem, we can use the laws of reflection and the properties of plane mirrors. Here's how you can find the answers to each part of the question:

A) The image distance:
In a plane mirror, the image distance is equal to the object distance. In this case, the object is placed 100cm in front of the mirror, so the image distance will also be 100cm.

B) The distance between the object and the image:
The distance between the object and its image in a plane mirror is twice the object distance. Given that the object distance is 100cm, the distance between the object and the image will be 2 times 100cm, which is equal to 200cm.

C) The height of the image:
The height of the image in a plane mirror is equal to the height of the object. In this case, the object has a height of 50cm, so the height of the image will also be 50cm.

So, the answers to the questions are:
A) The image distance is 100cm.
B) The distance between the object and the image is 200cm.
C) The height of the image is 50cm.

A. 100 cm

B. 200 cm
C. 50 cm