A biro is placed at a distance of 10cm from a convex mirror of focal length 5cm.what is the position and nature of the image formed

Answer 1

To determine the position and nature of the image formed by the convex mirror, we can use the mirror formula:

1/f = 1/v - 1/u

Where:
f = focal length of the convex mirror = 5cm
v = image distance
u = object distance = -10cm (negative since it is placed on the same side as the object)

Substituting the given values into the formula, we have:

1/5 = 1/v - 1/-10

Multiply through by 5v to simplify:

v + 5v/10 = 1

10v + 5v = 10

15v = 10

v = 10/15

v = 2/3 cm

The positive value indicates that the image is formed on the opposite side of the mirror as the object. Therefore, the image is formed at a distance of 2/3 cm from the convex mirror.

To determine the nature of the image, we can consider the magnification of the mirror. The magnification (m) is given by:

m = -v/u

Substituting the known values:

m = -(2/3) / -10

m = 1/15

Since the magnification is positive and less than 1, the image formed by the convex mirror is diminished and upright. So, the nature of the image is virtual and diminished.