A ray diagram to represent a convex mirror. On this diagram mark the principal axis, principal focus and the center of curvature if the focal length of the convex mirror is .An object tall is placed in front of a convex mirror of focal length . ____cm is the size of the image formed by the convex mirror.

Question

A ray diagram to represent a convex mirror. On this diagram mark the principal axis, principal focus and the center of curvature if the focal length of the convex mirror is .An object tall is placed in front of a convex mirror of focal length . ____cm is the size of the image formed by the convex mirror.

Infinity Learn · Accepted Answer

Concept- 60 cm is the size of image formed. Learn all there is to know about mirrors, including its many components. To determine the location and characteristics of the image, use the mirror formula. The line connecting any mirror's midpoint, primary focus, and curvature center is known as its principal axis.
Formula used:
Mirror's formula is given by,

where,

is the image distance,

is the object distance and

is the focal length of the mirror.
Magnification in a mirror is given by,

where,

is the magnification of the object,

is the image height and

is the object height.
Complete step by step answer:
The marked diagram of a convex mirror with focal length

is given below.
Question Image

In the figure,

is the principal axis,

is the principal focus and

is the center of curvature.
Here we have given an object of length

and distance of the object from the mirror is,

focal length of the given convex mirror is

(Since, it is a mirror) . Now, from mirror's formula we have,

where,

is the image distance,

is the object distance and

is the focal length of the mirror.
So, putting the values of object distance

and focal length of the mirror

we have,

Simplifying we have,

Now, we know magnification in a mirror is given by,

where,

is the image height and

is the object height.
So, putting, object height

object distance

and image distance

we have,

Hence, the image will be

away from the mirror and will be upright, real, and twice as large.

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