Thin Lens Formula derivation | Class 12 Physics Important Topics for CBSE Exam 2024
Mandeep Education Academy・2 minutes read
The thin lens formula, -yv/av = v - u/f, is derived from ray diagrams and helps derive magnification formulas and understand real and virtual images in different lens scenarios. By finding pairs of similar triangles and equating their ratios, the formula is obtained after proper sign conventions and calculations.
Insights
- The thin lens formula, -yv/av = v - u/f, is crucial for understanding magnification and image formation in various lens scenarios, derived from specific steps with similar right-angled triangles.
- This formula, originating from ray diagrams of convex or concave lenses, provides a foundational understanding of real and virtual images, showcasing the importance of equating ratios and following sign conventions for accurate calculations.
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Recent questions
What is the thin lens formula?
The thin lens formula is -yv/av = v - u/f.
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Summary
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Deriving Thin Lens Formula for Lenses
- The thin lens formula is 1 up v - 1 up u = 1 up f, derived from ray diagrams of convex or concave lenses.
- To derive the formula, choose one of the seven ray diagrams, follow specific steps, and identify similar right-angled triangles.
- By finding pairs of similar triangles and equating their ratios, the formula can be derived by making the LHS and RHS of equations equal.
- After proper sign conventions and calculations, the thin lens formula is obtained as -yv/av = v - u/f.
- This formula not only helps derive magnification formulas but also serves as the basis for understanding real and virtual images in different lens scenarios.
