Two converging lenses having focal lengths of f 10.0 cm and f =20.0 cm are placed d= 50.0 cm apart, as shown in Figure P23.44. The final image is to be located between the lenses, at the position x= 31.0 cm indicated. (a) How far to the left of the first lens should the object be positioned? (b) What is the overall magnification of the system? (c) Is the final image upright or inverted? Л Object Final image Figure P23.44 12

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Two converging lenses having focal lengths of \( f_1 = 10.0 \, \text{cm} \) and \( f_2 = 20.0 \, \text{cm} \) are placed \( d = 50.0 \, \text{cm} \) apart, as shown in Figure P23.44. The final image is to be located between the lenses, at the position \( x = 31.0 \, \text{cm} \) indicated. 

(a) How far to the left of the first lens should the object be positioned? 
(b) What is the overall magnification of the system? 
(c) Is the final image upright or inverted?

**Explanation of Diagram:**

The diagram illustrates the arrangement of two lenses with the following components:
- **Object:** Located to the left of the first lens, represented by an upward arrow.
- **Lens \( f_1 \):** The first converging lens with focal length \( 10.0 \, \text{cm} \).
- **Lens \( f_2 \):** The second converging lens with focal length \( 20.0 \, \text{cm} \).
- **Distance \( p \):** The distance from the object to the first lens.
- **Distance \( x \):** The position where the final image will be located, \( 31.0 \, \text{cm} \) between the lenses.
- **Distance \( d \):** The separation between the lenses, \( 50.0 \, \text{cm} \).
- **Final Image:** Indicated by a downward arrow between the lenses.

Figure P23.44 illustrates the setup with the object, lenses, and image positions marked.
Transcribed Image Text:Two converging lenses having focal lengths of \( f_1 = 10.0 \, \text{cm} \) and \( f_2 = 20.0 \, \text{cm} \) are placed \( d = 50.0 \, \text{cm} \) apart, as shown in Figure P23.44. The final image is to be located between the lenses, at the position \( x = 31.0 \, \text{cm} \) indicated. (a) How far to the left of the first lens should the object be positioned? (b) What is the overall magnification of the system? (c) Is the final image upright or inverted? **Explanation of Diagram:** The diagram illustrates the arrangement of two lenses with the following components: - **Object:** Located to the left of the first lens, represented by an upward arrow. - **Lens \( f_1 \):** The first converging lens with focal length \( 10.0 \, \text{cm} \). - **Lens \( f_2 \):** The second converging lens with focal length \( 20.0 \, \text{cm} \). - **Distance \( p \):** The distance from the object to the first lens. - **Distance \( x \):** The position where the final image will be located, \( 31.0 \, \text{cm} \) between the lenses. - **Distance \( d \):** The separation between the lenses, \( 50.0 \, \text{cm} \). - **Final Image:** Indicated by a downward arrow between the lenses. Figure P23.44 illustrates the setup with the object, lenses, and image positions marked.
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