A student focus the image of a candle fame 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= 12cm Position of convex lens= 50cm Position of screen= 88cm a) What is the length of the focal length? b) Where will the image be formed if he shifts the candle towards the leans at a position of 31cm. c) What will be the nature of the image formed, if he further shifts the candle towards the lens. d)Draw a ray diagram to show the formation of the image in case (c) as said above...

1
by PrincessManshi
sorryy.. ths cums in physics

2014-11-28T11:41:40+05:30

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A)
u =  -(50 - 12) = - 38 cm
v = 88-50 = 38 cm
1/v - 1/u = 1/f
1/38 - 1/-38 = 1/f
f = 19 cm

b)
u = -(50-31) = -19 cm          v = ?  f = 19 cm
1/v = 1/u+1/f = 0  => Image will form at infinity, as the candle is at the focus.

c)
Let us say u = - 3f/4
1/v = 1/u + 1/f = -4/3f + 1/f = -1/3f
v = - 3f    =>    a virtual magnified erect image is formed on the same side as the candle.

d) see diagram.