A student focused the image of the candle flame on a white screen using a convex lens .he noted down the position of candle screen and lens as under position of candle =12cm ,position of convex lens = 50 cm ,position of screen = 88 cm ,what is focal length of the convex lens ,where will the image be formed if she shifts the candle towards the lens at a position of 31 cm what will be the nature of the candle if he further shifts the candle toward lens draw a ray diagram to show the formation of image in case 3
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( i ) . Object distance u = 50 - 26 = 24 cm
Image distance v = 74 - 50 = 24 cm .
Since object distance is equal to image distance.
2 f = 24
= > f = 12 cm
So , focal length of object is 12 cm.
( ii ) . u = 50 - 38 = 12 cm
It's mean candle is at focus.
= > Image will form at infinity.
( ii ) Refer to attachment for ray diagram.
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