As shown in the figure (Figure 1) , a candle is at the center of curvature of a

Question

As shown in the figure (Figure 1) , a candle is at the center of curvature of a concave mirror whose focal length is 11.5 cm . The converging lens has a focal length of 30.0 cm and is 85.0 cm to the right of the candle. The candle is viewed through the lens from the right. The lens forms two images of the candle. The first is formed by light passing directly through the lens. The second image is formed from the light that goes from the candle to the mirror, is reflected, and then passes through the lens.
For each image, answer the following questions:

Part A

Where is the image?

Enter your answer as two numbers separated with a comma.

Part B

Is the image real or virtual?

Part C

Is the image erect or inverted with respect to the original object?

Explanation / Answer

1/p + 1/q = 1/f

1/q = 1/f - 1/p

= 1/30 - 1/85

q = 46.36 cm

m = -q/p = -46.36/85 = -0.545

image is real and inverted

= 1/f - 1/p

= 1/11.5 - 1/23

q = 23 cm

m = -q/p = -23/2 = -1

mtotal = m1 m2 = (-0.545)(-1) = 0.545

the secon image is 46.36 cm to the right of the lens final image is real and erect

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