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A student focussed the image of a candle...

A student focussed the image of a candle flame on a white screen using a convex lens. He noted down the position of the candle, screen and the lens as under
Position of candle `= 12.0 cm`
Position of convex lens `= 50.0 cm`
Position of the screen `= 88.0 cm`
(i) What is the focal length of the convex lens ?
(ii) Where will the image be formed if he shifts the candle towards the lens at a position of `31.0 cm`.
(iii) What will be the nature of the image formed if he further shifts the candle towards the lens ?
(iv) Draw a ray diagram to show the formation of the image in case (iii) as said above.

Text Solution

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### Step-by-Step Solution **Given Data:** - Position of candle (u) = 12.0 cm - Position of convex lens (v) = 50.0 cm - Position of screen (s) = 88.0 cm **(i) Finding the Focal Length of the Convex Lens:** ...
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