Question

the image formed by a convex mirror of focal length 10 cm is one half of the object.what is the distance from the object of the mirror

Answer 1

The answer is as follows:-

Answer 2

Concept:

Mirror formula which states that 1/f = 1/v + 1/u where, f is the focal length, v is the image position, u is object position.

Given:

Focal length = - 10 cm

Distance of image from pole is half of that of object.

Find:

Distance of object from the pole.

Solution:

Assuming the direction of incident ray as positive.

Applying the mirror formula

1/f = 1/v + 1/u

We have given

focal length = -10cm

v = u/2

1/(-10) = 1/(u/2) + 1/u

-1/10 = 2/u + 1/u

-1/10 = 3/u

u = -30 cm

Object distance = - 30 cm

Hence, The object distance from the pole is 30 cm.

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