An object of length 4 cm is placed in front of a concave mirror at distance 30 cm. The focal length of mirror is 15 cm. (a) Where will the image form? (b)  What will be the length of image?

 

Dear Student ,

Given h = 4cm , u =-30 cm , f = - 15 cm (a) using mirror  formula , we have 1v+1u=1f1v=130-1151v=-130v= -30 cmHence the image will be formed at a distance of 30 cm on the same side as the object .(b) Linear magnification  is m =h'h=-vuh'=-vuh=-30-30×4h'=-4cmTherefore  the length of the image is the same as the object ie 4 cm but it is invertedin nature
Regards

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Image will form at the same distance and of same height because it is placed at centre of curvature(C).
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