If Shlok stands 3 feet in front of a plane mirror how far from the person will her image be located.?

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Feb 9, 2018

The mirror formula is #1/f=1/v+ 1/u#
where, #f# is the focal length of the mirror, #u# is object distance and #v# is the image distance.

Here, since a plane mirror is mentioned, #f=oo#
so #1/f=0#

#1/v=-1/u#

#v=-u#

It's given that #color(magenta)(u=-3)# feet ("-" comes from the sign convention)

so applying the formula, #color(red)(v=3)# feet (on the other side of the mirror.)

The total distance of the person from the image = object distance + image distance
#=color(magenta)(u) + color(red)(v)#
# = color(magenta)(3) + color(red)(3)# (here we're considering just the numerical value.)
#=6# feets.

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Jane Share
Feb 9, 2018

In case of a plane mirror,image is formed at a same distance (#v#) from the mirror to that of the object's distance(#v#) from the mirror.(i.e #u=v#)
enter image source here

So,total distance between the image and the object is #(u+v)=2u#

Here, #u= 3 ft#

So, #(u+v) = 6 ft#

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