we observe a candle through a converging lens with focal length 4m. the candle i

Question

we observe a candle through a converging lens with focal length 4m. the candle is .1 m tall and 2 m away from the lens. (see above figure for each question)

1. Where is the resulting image?

a) 1.333 m from the lens on the same side as the object.

b) 4m from the lens on the same side as the object.

c) 1.333 m from the lens on the opposite side from the object.

d) 4 m from the lens on the opposite side from the object

2. Which of the following characterizes the image?

a) upright and real

b) upright and virtual

c) inverted and real

d) inverted and virtual

3) What is the magnification of the image?

a) .5

b) .6667

C) 1.5

d) 2

Thank You!!

Explanation / Answer

Given that The focal length, f = 4 m The height of object, h1 = 0.1 m The distance of the object, p = 2 m 1. Then, (1/q) = (1/f) - (1/p)               q = -4 m So the object is formed at a distance of 4m on the same side of the lens. So the answer is option ( b ) 2. The image is upright and virtual So the answer is option ( b ) 3. Magnification of the lens, m = -q/p = -(-4/2) = 2 So the answer is option ( d )

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