After The School
Class 12PhysicsChapter 9: Ray Optics and Optical Instruments

Key Formulas

Summary of key formulas for Ray Optics and Optical Instruments.

Key Formulas

ConceptFormula
Refraction at spherical surfacen2vn1u=n2n1R\dfrac{n_2}{v} - \dfrac{n_1}{u} = \dfrac{n_2 - n_1}{R}
Lens maker's formula1f=(n1)(1R11R2)\dfrac{1}{f} = (n-1)\left(\dfrac{1}{R_1} - \dfrac{1}{R_2}\right)
Thin lens formula1v1u=1f\dfrac{1}{v} - \dfrac{1}{u} = \dfrac{1}{f}
Prism (min. deviation)n=sinA+δm2sinA2n = \dfrac{\sin\frac{A+\delta_m}{2}}{\sin\frac{A}{2}}
Critical anglesinθc=1n\sin\theta_c = \dfrac{1}{n}
Telescope magnificationm=fofem = \dfrac{f_o}{f_e}
Microscope magnificationm=Lfo×Dfem = \dfrac{L}{f_o} \times \dfrac{D}{f_e}

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