Table 2: Two Lenses fi(cm) P₁(cm) q₁(cm) 10 30 5.0 30 10 10 d(cm) 40 25 5 f₂(cm) P₂(cm) 5.0 5.0 5.0 9₂(cm) gcal(cm) 7.3 6.4 4.0 Show calculations. (q2 is to be measured, while q₁, d, p2 & Alcat must be calculated) Complete the TABLE.

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### Table 2: Two Lenses

| \( f_1 \)(cm) | \( p_1 \)(cm) | \( q_1 \)(cm) | \( d \)(cm) | \( f_2 \)(cm) | \( p_2 \)(cm) | \( q_2 \)(cm) | \( q_{\text{cal}} \)(cm) |
|--------------|--------------|--------------|------------|--------------|--------------|--------------|-----------------|
| 10           | 30           |              | **40**     | 5.0          |              | 7.3          |                 |
| 10           | 5.0          |              | **25**     | 5.0          |              | 6.4          |                 |
| 10           | 30           |              | **5**      | 5.0          |              | 4.0          |                 |

**Instructions:**

1. **Show calculations.** (Note: \( q_2 \) is to be measured, while \( q_1 \), \( d \), \( p_2 \), and \( q_{\text{cal}} \) must be calculated).
   - **Complete the TABLE.**

2. **Questions:**

   9. Calculate the percentage error between the calculated second image position \( q_{\text{cal}} \) and the measured second image position \( q_2 \) for each of the three lens configurations.

   10. State at least **two** possible 'physics' sources of our percent error (do not include rounding errors, calculation errors, human errors, or equipment malfunction).

**Explanation:**

- The table involves a two-lens system with given focal lengths (\( f_1 \) and \( f_2 \)), object positions (\( p_1 \) and \( p_2 \)), image positions (\( q_1 \) and \( q_2 \)), separation distance between lenses (\( d \)), and a calculated image position (\( q_{\text{cal}} \)).
- The bold and italicized values indicate critical data for calculating additional parameters.
- Ensure to perform necessary optical calculations using lens formulas and principles to fill in missing values, and compare calculated and measured results for error analysis.
Transcribed Image Text:### Table 2: Two Lenses | \( f_1 \)(cm) | \( p_1 \)(cm) | \( q_1 \)(cm) | \( d \)(cm) | \( f_2 \)(cm) | \( p_2 \)(cm) | \( q_2 \)(cm) | \( q_{\text{cal}} \)(cm) | |--------------|--------------|--------------|------------|--------------|--------------|--------------|-----------------| | 10 | 30 | | **40** | 5.0 | | 7.3 | | | 10 | 5.0 | | **25** | 5.0 | | 6.4 | | | 10 | 30 | | **5** | 5.0 | | 4.0 | | **Instructions:** 1. **Show calculations.** (Note: \( q_2 \) is to be measured, while \( q_1 \), \( d \), \( p_2 \), and \( q_{\text{cal}} \) must be calculated). - **Complete the TABLE.** 2. **Questions:** 9. Calculate the percentage error between the calculated second image position \( q_{\text{cal}} \) and the measured second image position \( q_2 \) for each of the three lens configurations. 10. State at least **two** possible 'physics' sources of our percent error (do not include rounding errors, calculation errors, human errors, or equipment malfunction). **Explanation:** - The table involves a two-lens system with given focal lengths (\( f_1 \) and \( f_2 \)), object positions (\( p_1 \) and \( p_2 \)), image positions (\( q_1 \) and \( q_2 \)), separation distance between lenses (\( d \)), and a calculated image position (\( q_{\text{cal}} \)). - The bold and italicized values indicate critical data for calculating additional parameters. - Ensure to perform necessary optical calculations using lens formulas and principles to fill in missing values, and compare calculated and measured results for error analysis.
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