An object is placed at a distance of 10 cm from a convex mirror of focal length 15 cm. Find the position and nature of the image.

By BYJU'S Exam Prep

Updated on: September 25th, 2023

An object is placed at a distance of 10 cm from a convex mirror of a focal length of 15 cm. The position of the image is behind the mirror and the nature of the image is virtual.

Given that:

u = -10 cm
f = 15 cm

Now we have to find v

We know the formula

1/f = 1/v + 1/u

Therefore, 1/v = 1/f – 1/u

Table of content

1. An object is placed at a distance of 10 cm from a convex mirror of focal length 15 cm. Find the position and nature of the image.

By changing the known variables in the aforementioned equation, we obtain,

1/v = 1/15 – (-1/10)
1/v= 1/15 + 1/10
1/v = (2 + 3)/30 (LCM)

Hence

v = 5/30
v = 6cm

The virtual image is created behind the mirror.

The type of image that was created

When the v is positive, the image is formed inside the mirror, and when the v is negative, the image is formed in front of the mirror.
This shows that, in this case, the image is created within the mirror at a distance of 6 cm from the mirror’s pole.
The resulting image is genuine when v is negative; it is virtual when v is positive.

Summary: