University:
Eastern Kentucky University
Course:
PHY 202 | University Physics II
Academic year:

2021
Views:

306

Pages:

1
Author:

Carissa Thomas

F or m u l ae 3 S h e e t f or Ph y si cs | pg. 6 Optics 1 f Lens maker’s formula: = (µ − 1) 3.1: Reflection of Light h 1 R1 − R12 i f Lens formula: normal Laws of reflection: i r incident (i) reflected 1 v − 1 u = f1 , v u m= u Incident ray, reflected ray, and normal lie in the same plane (ii) ∠i = ∠r v Power of the lens: P = f1 , P in diopter if f in metre. Two thin lenses separated by distance d: Plane mirror: d d (i) the image and the object are equidistant from mirror (ii) virtual image of real object 1 d 1 1 = − + f1 F f 2 f 1 f2 d f1 f2 I Spherical Mirror: O f u 3.3: Optical Instruments v Simple microscope: m = D/f in normal adjustment. 1. Focal length f = R/2 2. Mirror equation: 1 v Objective + u1 = Eyepiece 1 f 3. Magnification: m = − uv ∞ O Compound microscope: u v 3.2: Refraction of Light speed of light in vacuum speed of light in medium Refractive index: µ = Snell’s Law: sin i sin r = c v = incident µ1 i µ2 µ1 Apparent depth: µ = µ2 real depth apparent depth Critical angle: θc = sin−1 = 1. Magnification in normal adjustment: m = reflected r d0 d I O µ fo Astronomical telescope: r i0 r0 µ m sin A+δ 2 , µ= sin A2 i = i for minimum deviation 2. Angular dispersion: θ = (µv − µr )A Dispersive power: ω = ≈ µ2 P Q O u µ1 v µ2 u Dispersion without deviation: i µ1 m= µv −µr µy −1 δm i0 µ2 µ1 µ2 − µ1 − , = v R u A>0 1. Mean deviation: δy = (µy − 1)A 0 Refraction at spherical surface: A , λ2 Dispersion by prism with small A and i: general result for small A 1 = 1.22λ Cauchy’s equation: µ = µ0 + δ δm = (µ − 1)A, 1 ∆θ 3.4: Dispersion δ i fe 1. In normal adjustment: m = − ffoe , L = fo + fe θc A Deviation by a prism: = vD u fe 2µ sin θ λ refracted d d0 1 µ 1 ∆d 2. Resolving power: R = 2. Resolving power: R = δ = i + i0 − A, fe D v (µy − 1)A + (µy0 0 − 1)A = 0 Deviation without dispersion: (µv − µr )A = (µv0 − µr0 )A0 θ δy (if A and i small) A µ0 µ A0