(a) Where should a diamond ring be placed in front of aconcave mirror, such that
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(a) Where should a diamond ring be placed in front of aconcave mirror, such that the image is twice the size of the ring.There are two answers, depending on whether the image is upright orinverted. Express your answer in turns of the the radius ofcurvature R. (b)Draw ray diagrams to confirm your answers. Can someone please help me. I will rate well. (a) Where should a diamond ring be placed in front of aconcave mirror, such that the image is twice the size of the ring.There are two answers, depending on whether the image is upright orinverted. Express your answer in turns of the the radius ofcurvature R. (b)Draw ray diagrams to confirm your answers. Can someone please help me. I will rate well.Explanation / Answer
size of image I = 2 ( size of object O ) So, magnification m = I / O = 2 v/ u = 2 from this distance of the image v = 2 u where u = distance of the object from the relation ( 1 / u ) +( 1/ v ) = ( 1/ f ) ( 1/ u ) + ( 1/ 2u ) = ( 1/ f ) (3 / 2 u ) = ( 1/ ( R / 2) ) = 2 / R 2u= 3R / 2 u = 3R / 4 Also m = -2 v / u = -2 v = -2u from the relation ( 1 / u ) +( 1/ v ) = ( 1/ f ) ( 1/ u ) - ( 1/ 2u ) = ( 1/ f ) ( 1/ 2 u ) = ( 1/ ( R / 2) ) = 2 / R u = R / 4 from the relation ( 1 / u ) +( 1/ v ) = ( 1/ f ) ( 1/ u ) - ( 1/ 2u ) = ( 1/ f ) ( 1/ 2 u ) = ( 1/ ( R / 2) ) = 2 / R u = R / 4Related Questions
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