Question

an object of height 6cm is placed in front of a convex mirror of focal length 6cm. what is the magnification of the image?

Answer 1

The magnification of an image formed by a convex mirror is -2.

Step-by-step explanation:

The magnification of an image formed by a convex mirror can be found using the formula:

magnification = -image distance / object distance

Given that the object distance is 6 cm and the focal length of the convex mirror is also 6 cm, the image distance is twice the focal length which is 12 cm. Plugging values , we get:

magnification = -12 cm / 6 cm = -2

Therefore, magnification of image is -2.

This negative magnification indicates that image formed by the convex mirror is virtual and upright.

Answer 2

The magnification of the image formed by a convex mirror is -1 when the object height is 6 cm and the focal length of the mirror is 6 cm.

Step-by-step explanation:

The magnification of an image formed by a convex mirror can be calculated using the formula: magnification (m) = -di / do, where di is the image distance and do is the object distance. In this case, the object distance is 6 cm and the focal length of the convex mirror is also 6 cm. Since the focal length is equal to half the radius of curvature, we can assume the radius of curvature is 12 cm. Using the formula, we have: m = -di / 6. Solving for di, we get di = -6 cm.

Therefore, the magnification of the image is -1.