An object of height 50cm is placed 100cm infront of a plane mirror find the height of thevplane mirror
To find the height of the plane mirror, we can use the concept of similar triangles.
In this scenario, let's assume the height of the plane mirror to be 'h'.
Now, we have a right-angled triangle formed by the object, its image in the mirror, and the distance between them. According to the laws of reflection, the image formed by a plane mirror appears to be as far behind the mirror as the object is in front of it. Therefore, the distance between the object and its image is also 100 cm.
Using the properties of similar triangles, we can set up the following proportion:
Object height / Object distance = Image height / Image distance
Given that the object height is 50 cm, the object distance is 100 cm, and the image distance is 100 cm (since the image appears at the same distance as the object), we have:
50 cm / 100 cm = h / 100 cm
To solve for 'h', we can cross-multiply and solve for 'h':
(50 cm * 100 cm) / 100 cm = h
Now, let's calculate the value of 'h':
h = 50 cm
Therefore, the height of the plane mirror is 50 cm.