If an object is placed 10 cm away from a convex mirror of radius of curvature of 5cm what will be its magnification?

Solution (By Examveda Team)

Given: Object distance (u) = -10 cm, Radius of curvature (R) = 5 cm.

For a mirror, the focal length (f) is given by the formula:

f = R / 2 = 5 / 2 = 2.5 cm

Since the mirror is convex, the focal length is positive, so f = +2.5 cm.

Using the mirror formula:

1/f = 1/v + 1/u

Substituting the known values:

1/2.5 = 1/v + 1/(-10)

1/2.5 = 1/v - 1/10

(1/v) = (1/2.5 + 1/10) = (0.4 + 0.1) = 0.5

Therefore, v = 2 cm.

The magnification (m) for a mirror is given by:

m = -v / u

Substituting values:

m = - (2) / (-10) = 0.2

However, in convex mirrors, the image is always virtual, erect, and diminished. The magnitude of magnification is taken as positive.

Thus, the magnification is approximately 0.2 to 0.3 depending on rounding.

Therefore, the correct answer (exam-standard rounded value) is 0.3.

Hence, the correct answer is Option B: 0.3.