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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 the lens and image is $80 cm$ , at what distance should the candle be placed from the lens?

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- 80 / 3 cm

80 / 3 cm

- 50 / 3 cm

50 / 3 cm

answer is A.

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Detailed 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 the lens and image is

80 cm

, then the object distance is,

u = - 80 / 3 cm

.
It is given that the image distance

v = 80 cm

, and the magnification

m = - 3

.
Now, the object distance

u

is given by,

= > m = v / u

= > u = v / m

= > u = - 80 / 3

Hence, the object distance is

- 80 / 3 cm

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