A diverging lens with focal length f1 = −20 cm is placed 50cm to the left of a converging lens with f2 = 10 cm. If a 5 cm tall object is placed 20 cm to the left of the diverging lens then answer the following.a) What is position of the final image created by the two lens system with respect to the converging lens? Draw the ray tracing diagram in the figure above and be sure to include at least two special rays for each lens. ### Properties of Various MaterialsThe following table presents essential thermal and physical properties for several materials. These properties are crucial for understanding material behaviors in different scientific and engineering applications.#### Material Properties Table| Material | α (°C⁻¹) | c (J/(kg·K)) | C (J/(mol·K)) | Lf (J/kg) | Lv (J/kg) | Density (kg/m³) ||-------------------|----------|--------------|---------------|-----------|------------|-----------------|| **Gold** | - | - | 129 | 25 | - | 19,300 || **Copper** | 1.65×10⁻⁵ | - | - | - | - | 8,960 || **Aluminum** | 2.3×10⁻⁵ | - | - | - | - | 2,700 || **Stainless Steel**| 1.75×10⁻⁵ | - | - | - | - | 7,500 || **Water** | - | 4190 | 75 | 3.33×10⁵ | 22.6×10⁵ | 1,000 || **Ethyl Alcohol** | - | 2400 | 110 | 1.09×10⁵ | 8.79×10⁵ | 790 || **Ice** | - | 2090 | 37.6 | - | - | 917 |### Key Constants- **1 atm** = 1.01×10⁵ Pa- **Nᴀ** = 6.022×10²³ particles/mol (Avogadro's number)- **R** = 8.3145 J/(mol·K) (Universal gas constant)- **kʙ** = 1.38×10⁻²³ J/K (Boltzmann constant)- **σ** = 5.67×10⁻⁸ W/(m²·K⁴) (Stefan-Boltzmann constant)### Explanation of Table Headers- **α (°C⁻¹)** ### Two Lens System#### Figure 1: Two Lens SystemThe diagram illustrates a system comprised of two lenses: a concave lens followed by a convex lens. The setup and key features of the lenses are as follows:- The first lens is a concave lens, which is thinner in the middle and thicker at the edges. It is typically used for diverging light rays.- To the left of the concave lens, there is a focal point labeled \( f_1 \).- The second lens is a convex lens, which is thicker in the middle and thinner at the edges. It is typically used for converging light rays.- To the right of the concave lens and before the convex lens, there is another focal point also labeled \( f_1 \), which probably is parallel to the focal point on the left side.- After the convex lens, there is a focal point labeled \( f_2 \).The purpose of labeling focal points \( f_1 \) and \( f_2 \) is to mark the positions where light rays converge or appear to diverge after passing through the lenses. The focal lengths (\( f_1 \) and \( f_2 \)) are intrinsic properties of the lenses and play a crucial role in determining the behavior of light as it passes through the lens system.This configuration can be used in various optical instruments. For example, a two-lens system like this can be found in microscopes or telescopes, where precise control of light paths is essential for forming clear and magnified images.

Given that, a diverging lens is the left side of the converging lens. And the object is on the left…

A diverging lens with focal length f1 = −20 cm is placed 50cm to the left of a converging lens with f2 = 10 cm. If a 5 cm tall object is placed 20 cm to the left of the diverging lens then answer the following. a) What is position of the final image created by the two lens system with respect to the converging lens? Draw the ray tracing diagram in the figure above and be sure to include at least two special rays for each lens.

A diverging lens with focal length f1 = −20 cm is placed 50cm to the left of a converging lens with f2 = 10 cm. If a 5 cm tall object is placed 20 cm to the left of the diverging lens then answer the following. a) What is position of the final image created by the two lens system with respect to the converging lens? Draw the ray tracing diagram in the figure above and be sure to include at least two special rays for each lens.

Similar questions

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