2 A 60w lygt bulb himmous efficienay is \( 14 \operatorname{lm} \) per \( W \) is suspended \( 2 \mathrm{~m} \) over a table \( i \) what is the illumination on the table directly under the bulb. ii How high orker the table should the bulb be in order to double the illumination. 3 A cand \( 65 \mathrm{~cm} \) high is placed \( 20 \mathrm{~cm} \) in Ront of a concave muror whose focal lergth is \( 15 \mathrm{~cm} \). Find the Cocation size and nature of the image. 4 An object \( 0.5 \mathrm{~cm} \) high is placed \( 8 \mathrm{~cm} \) Prom a Consex lens of \( 10 \mathrm{~cm} \) focal length. find the position and size of the image? 5 A cartain prisin is found to produle a minimuin derlatron of \( 51^{\circ} \). while it produces a deviation of \( 62.8^{\circ} \)
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(II) A lighted candle is placed 36 cm in front of a converging lens of focal length $f_1= 13 cm,$ which in turn is 56 cm in front of another converging lens of focal length $f_2=16 cm$ (see Fig. 23-60). (a) Draw a ray diagram and estimate the location and the relative size of the final image. (b) Calculate the position and relative size of the final image. FIGURE 23–60 Problem 62. (FIGURE CAN'T COPY)
LIGHT: GEOMETRIC OPTICS
Combinations of Lenses
An object is placed 15.0 cm from a first converging lens of focal length 10.0 cm. A second converging lens with focal length 5.00 cm is placed 10.0 cm to the right of the first converging lens. (a) Find the position $q_{1}$ of the image formed by the first converging lens. (b) How far from the second lens is the image of the first lens? (c) What is the value of $p_{2},$ the object position for the second lens? (d) Find the position $q_{2}$ of the image formed by the second lens. (e) Calculate the magnification of the first lens. (f) Calculate the magnification of the second lens. (g) What is the total magnification for the system? (h) Is the final image real or virtual? Is it upright or inverted (compared to the original object for the lens system)?
(II) A lighted candle is placed 36 $\mathrm{cm}$ in front of a converging lens of focal length $f_{1}=13 \mathrm{cm},$ which in turn is 56 $\mathrm{cm}$ in front of another converging lens of focal length $f_{2}=16 \mathrm{cm}$ (see Fig. $47 ) .(a)$ Draw a ray diagram and estimate the location and the relative size of the final image. (b) Calculate the position and relative size of the final image.
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