Question

An object is placed on the principal axis at a distance equal to focal length of convex mirror. If the focal length of the mirror be f, then the distance of the image from the pole of the mirror is​

Answer 1

Answer:

Image distance(v) from pole of mirror is 0

Explanation:

from the question

f=u

1/f=1/v+1/u

as object distance = -f

1/f=1/v+(-1/f)

1/v=1/f+1/f

1/v=2/f

v=f/2

therefore image distance is equal to half of focal length

HOPE THIS HAS HELPED U!!

Answer 2

Answer:

Distance of image from the pole of mirror is  $\frac{f}{2}$ unit.

Explanation:

• Convex Mirror: A spherical mirror which has curved outward reflecting surface is called convex mirror.
• Formula: If u = image distance, v = object distance and f = focal length. Then the mirror formula is : $\frac{1}{f} = \frac{1}{u} + \frac{1}{v}$

       According to sign convention, in case of convex mirror the object distance(u) is negative and focal length(f) is positive. So the formula for convex mirror will be: $\frac{1}{f} = -\frac{1}{u} + \frac{1}{v}$

• Calculation: Given object distance(u) = focal length = f

    From the above formula we can write, $\frac{1}{f} = -\frac{1}{f} + \frac{1}{v}$

                                                                   $\frac{1}{v} = \frac{1}{f} + \frac{1}{f}$ = $\frac{2}{f}$

                                                                     $\frac{1}{v}$  = $\frac{2}{f}$

                                                                    v = $\frac{f}{2}$

    ∴ Distance of image from the pole of mirror is  $\frac{f}{2}$ unit.

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