an object of height 20 cm is kept at a distance of 48 CM in front of a mirror of focal length 12 CM in mirror forms a virtual image of the object then calculate the distance of the image from the mirror is magnification
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Wehave mirror equation, begin mathsize 12px style 1 over v plus 1 over u equals 1 over f space........................ left parenthesis 1 right parenthesis
end style
where v is image to mirror distance to be calculated
u is object to nirror distance = 48 cm ; f is focal length of convex mirroe = -12 cm ( as per sign convention)
hence we can calculate v from eqn.(1) : begin mathsize 12px style 1 over v space equals space minus 1 over 12 plus 1 over 48 space equals space minus 1 over 16 end style or v = -16 cm
Hence image is formed at a distance 16 cm from mirror on the back side of mirror.
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