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At What Distance from a Concave Mirror Focal Length 10 Cm Should an Object 2 Cm Long Be Placed in Order to Get an Erect Image 6 Cm Tall? - CBSE Class 10 - Science

ConceptRepresentation of Images Formed by Spherical Mirrors Using Ray Diagrams - Concave Mirror

Question

At what distance from a concave mirror focal length 10 cm should an object 2 cm long be placed in order to get an erect image 6 cm tall?

Solution

Height of the object 'ho' = 2 cm

Focal length of the mirror 'f' = −10 cm
Height of the image 'hi' = 6 cm
We have to find the distance of the object from the mirror 'u'.
Using the magnification formula, we get

m= h_i/h_o=-v/u

m=6/2=-v/u

m=3=-v/u

thus v=-3u

Now, using the mirror formula, we get

1/f=1/v+1/u

1/-10=1/(-3u)+1/u

1/10=1/(3u)-3/(3u) =(-2)/(3u)

u=(-2xx10)/3

u=-6.67 cm

Thus, the distance of the object from the mirror 'u' is −6.67 cm.

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Solution At What Distance from a Concave Mirror Focal Length 10 Cm Should an Object 2 Cm Long Be Placed in Order to Get an Erect Image 6 Cm Tall? Concept: Representation of Images Formed by Spherical Mirrors Using Ray Diagrams - Concave Mirror.
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