Question

the object is placed at a distance of 10 CM from convex mirror of focal length 5 cm.a) state the nature of image. b) state the size of image. c) calculate the distance of image from the mirror. ​

Answer 1

ANSWER

Object Distance(u) = 10 cm. (negative)

Focal length of the lens (f) = 5 cm.

We know, convex mirror always forms the virtual, upright and diminished.Also, Object distance in the convex mirror is always negative where as Image distance and focal length are positive.

Now, Applying the Mirror's formula

1/f=1/v+1/u

⇒ 1/5 = (10 - v)/10v

⇒ 10v = 50 - 5v

⇒ 15v = 50

⇒ v = 50/15

∴ v = 10/3

∴ Image Distance(v) = 3.33 cm.

Hence, the Image is formed on the other side of the Mirror at the distance of 3.33 cm.