The image of a candle flame formed by a lens is obtained on a screen placed on the other side of the lens. If the image is three times the size of the flame and the distance between lens and image is 80 cm, at what distance should the candle be placed from the lens?

A
$\frac{10}{3} cm$
B
$\frac{20}{3} cm$
C
$\frac{40}{3} cm$
D
$\frac{80}{3} cm$

Solution:

The image of a candle flame formed by a lens is obtained on a screen placed on the other side of the lens. If the image is three times the size of the flame and the distance between lens and image is

80 cm

, then at

\frac{80}{3} cm

, the candle should be placed from the lens.
Since, the image is obtained on the screen, it is real. Hence, the lens is convex.
Given,

m = - 3

(Image is real)

v = 80 cm

m = \frac{v}{u}

\Rightarrow - 3 = \frac{80}{u}

u = - \frac{80}{3} cm

The image of a candle flame formed by a lens is obtained on a screen placed on the other side of the lens. If the image is three times the size of the flame and the distance between lens and image is $80 cm$ , at what distance should the candle be placed from the lens?

Solution:

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