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Answers
Position of candle = 26cm
Position of convex lens = 50cm
Position of screen = 74cm
In attachment , I saw position of all the given things
form here, it is clear that,
(i) object (candle ) distance from lens , u = 50cm - 26cm = 24cm
image (on screen) distance from lens ,v = 74cm - 50cm = 24cm
Here , v = u
it means object place at centre of curvature of lens
so, u = 2f , f is focal length
f = u/2 = 24/2 = 12cm
(ii) position of candle = 38cm
so, object (candle ) distance from convex lens = position of convex lens - position of candle = 50cm - 38cm = 12cm
∴ u = -12cm and focal length f = 12cm
Now, use formula,
1/f = 1/v - 1/u
1/12 = 1/v -1/-12
⇒ v = ∞ , hence image is formed at infinity .
1. 12cm
2. at infinity
3. u should draw it keeping on focus and the image at infinity