Question

An object is placed at a distance of 12 cm from a concave mirror of radius of curvature 16 cm. Find the position of the image.​

Answer 1

Answer:

-1/24

Explanation:

u =-12

r=16

u=?

f=r/2

f=16/2

1/v+1/u =1/f

1/v+1/-12 =1/8

1/v=1/8 -1/12

1/v =3-2/24 = -1/24

Answer 2

Explanation:

Answer :-

Image distance is -24 cm.

Explanation :-

Given :-

Object distance (u) = -12 cm

Radius of curvature (r) = -16 cm

To find :-

Position of the image/Image distance (v) = ?

Solution :-

Radius of curvature (r) = -16 cm

Focal length (f) = r/2

-16/2

∴ Focal length is -8 cm.

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Using mirror formula :

1/v + 1/u = 1/f

1/v + 1/(-12) = 1/(-8)

1/v = 1/-8 - 1/-12

1/v = (1 × -3 - 1 × -2)/24

1/v = -1/24

v = -24

∴ Image distance (v) is -24 cm.