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With reference to the lens maker’s formula, answer the following questions: (Understanding) Apply…

Physics20263 marksDerivation
With reference to the lens maker’s formula, answer the following questions: (Understanding)

Given: Formula for refraction at single spherical surface: $\frac{\mu_2}{v} - \frac{\mu_1}{u} = \frac{\mu_2 - \mu_1}{R}$

To show: $\frac{1}{f} = (\mu - 1)\left(\frac{1}{R_1} - \frac{1}{R_2}\right)$

Figure 13
Figure 13
(i)
Apply the formula (expression) of refraction at a single spherical surface to: (a) refraction at first spherical surface. (b) refraction at second spherical surface.
(ii)
Combine these two expressions / equations to obtain an expression for focal length of the lens.

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Ray Optics and Optical Instruments

From ISC 2026 Specimen Physics Paper 1, question 15.