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give the calculation step by step as like as full answer in 2 steps and explanation block in every steps. And final answer summary Definition of Parameters Solutions are reviewed by our quality team mainly based on 6 parameters: Relevancy, Completeness, Accuracy, Clarity, Structure, and Voice. Relevancy: This indicates how closely a solution aligns with the question asked. It evaluates whether the solution addresses the core aspects of the question and provides appropriate information. Completeness: This indicates how thoroughly the solution addresses various asks in the question. It evaluates whether the solution has all essential information like calculations, diagrams, procedural steps, & explanatory statements in the solution. Accuracy: It refers to how correct the provided solution is for the given question/s. This evaluates the correctness of the information/concept/method followed in the solution. Clarity: Clarity refers to how easily the solution can be understood by the student. This evaluates the language complexity, readability, and redundancy of a solution. Structure: Structure refers to how the solution is organized and presented in relation to the requirements of the question. This evaluates the necessity of steps and their effectiveness in helping the student grasp how to arrive at the solution. Voice: This refers to the language and tone of the solution. This primarily evaluates whether a solution sounds human or overly non-human (bot-like). don't use we, then,:.C) Consider a converging lens with a focal length of 6m. An object that is 3 cm in height is placed 8m from the lens. Calculate the image distance, d;, and the image height, h;.

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give the calculation step by step as like as full answer in 2 steps and explanation block in every steps. And final answer summary Definition of Parameters Solutions are reviewed by our quality team mainly based on 6 parameters: Relevancy, Completeness, Accuracy, Clarity, Structure, and Voice. Relevancy: This indicates how closely a solution aligns with the question asked. It evaluates whether the solution addresses the core aspects of the question and provides appropriate information. Completeness: This indicates how thoroughly the solution addresses various asks in the question. It evaluates whether the solution has all essential information like calculations, diagrams, procedural steps, & explanatory statements in the solution. Accuracy: It refers to how correct the provided solution is for the given question/s. This evaluates the correctness of the information/concept/method followed in the solution. Clarity: Clarity refers to how easily the solution can be understood by the student. This evaluates the language complexity, readability, and redundancy of a solution. Structure: Structure refers to how the solution is organized and presented in relation to the requirements of the question. This evaluates the necessity of steps and their effectiveness in helping the student grasp how to arrive at the solution. Voice: This refers to the language and tone of the solution. This primarily evaluates whether a solution sounds human or overly non-human (bot-like). don't use we, then,:.Uploaded ImageC) Consider a converging lens with a focal length of 6m. An object that is 3 cm in height is placed 8m from the lens. Calculate the image distance, d;, and the image height, h;.

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Asked by: Test User 100079
Created at: 2025-05-11 23:06:46

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### **Definition of Parameters** - **Focal length (f):** Distance between the lens and the focal point (given as 6 m). - **Object distance (d₀):** Distance from the object to the lens (given as 8 m). - **Object height (h₀):** Height of the object (given as 3 cm). - **Image distance (dᵢ):** Distance from the image to the lens (to be calculated). - **Image height (hᵢ):** Height of the image (to be calculated). --- ## **Step 1: Calculate the Image Distance (dᵢ) Using the Lens Formula** **Equation:** \[ \frac{1}{f} = \frac{1}{d_o} + \frac{1}{d_i} \] **Values:** - \( f = 6\,m \) - \( d_o = 8\,m \) **Calculation:** \[ \frac{1}{6} = \frac{1}{8} + \frac{1}{d_i} \] \[ \frac{1}{d_i} = \frac{1}{6} - \frac{1}{8} \] \[ \frac{1}{d_i} = \frac{4 - 3}{24} = \frac{1}{24} \] \[ d_i = 24\,m \] **Explanation:** The lens formula relates the focal length, object distance, and image distance. Substituting the given values and solving for \( d_i \) provides the location of the image. --- ## **Step 2: Calculate the Image Height (hᵢ) Using Magnification** **Equation for Magnification (M):** \[ M = \frac{h_i}{h_o} = -\frac{d_i}{d_o} \] **Values:** - \( h_o = 3\,cm \) - \( d_i = 24\,m \) - \( d_o = 8\,m \) **Calculation:** \[ M = -\frac{24}{8} = -3 \] \[ h_i = M \times h_o = -3 \times 3\,cm = -9\,cm \] **Explanation:** Magnification gives the ratio of image height to object height and is also equal to the negative ratio of image distance to object distance for a lens. A negative sign indicates the image is inverted. --- ## **Final Answer Summary** - **Image distance (\(d_i\))**: **24 m** (on the opposite side of the lens from the object) - **Image height (\(h_i\))**: **-9 cm** (the image is inverted and three times taller than the object)

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