A concave mirror has a 40cmradius of curvature. How far from the mirror must an object be placed to create an upright image three times the height of the object?

Short Answer

Expert verified

An object is placed at 13.3cmaway from the concave mirror.

Step by step solution

01

Given information

We have given,

Radius of curvature= 40cm

Height of the image= 3×Heightoftheobject

We have to find the distance of the object from the mirror.

02

Simplify

We know Magnification of mirror

m=HeightoftheimageHeightoftheobject=h'hm=-imagedistanceobjectdistance=-vum=3=-vuv=-3u

Using mirror equation

1f=1v+1u2R=1-3u+1u240=23uu=403=13.3cm

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