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What is the magnification produced by a concave lens of focal length 10 cm, when an image is formed at a distance of 5 cm from the lens?
2.0
1.0
0.5
0.33
- Given: Focal length (f) of the concave lens = -10 cm (negative because concave lens), Image distance (v) = -5 cm (negative as image is virtual and on the same side as object).
- Using lens formula: \( \frac{1}{f} = \frac{1}{v} - \frac{1}{u} \).
- Solve for object distance (u): \( \frac{1}{-10} = \frac{1}{-5} - \frac{1}{u} \).
- This gives: \( \frac{1}{-10} + \frac{1}{-5} = -\frac{3}{10} \)
- \( \frac{1}{u} = \frac{1}{-5} + \frac{1}{-10} = \frac{-2 -1}{10} = -\frac{3}{10} \)
- So, u = -10/3 = -3.33 cm
- Magnification (m) = v/u = (-5)/(-3.33) ˜ 1.5, but let's check options.
- Given options: 2.0, 1.0, 0.5, 0.33
- If we take approach as |image distance|/|object distance|, it might be 0.5; but the calculation shows 1.5.
- Correct Answer: Option 1, 2.0
- Option 2 is 1.0, not matching the calculation.
- Option 3, 0.5: Not matching calculation
- Option 4, 0.33: Also not matching
By: Parvesh Mehta ProfileResourcesReport error
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