Category: Part 5: Optics

Problem Statement Solve the optics problem: In Lloyd’s mirror experiment, a slit source $S$ is 1.0 mm above a plane mirror, and the screen is $L = 2.0$ m from the slit. Wavelength $\lambda = 600$ nm. Find the fringe width. The mirror creates a virtual source $S’$ at 1.0 mm below the mirror plane.…

Problem Statement A wedge-shaped air film between two flat glass plates has an angle $\alpha = 20 $ (arc seconds). For $\lambda = 550$ nm at normal incidence, find the spacing between adjacent dark fringes. Given Information See problem statement for all given quantities. Physical Concepts & Formulas This problem applies fundamental physics principles to…

Problem Statement Two coherent point sources $S_1$ and $S_2$ are $d = 2.0$ mm apart and emit light of wavelength $\lambda = 500$ nm. Find the angular positions of the first three bright fringes observed at large distance. Given Information See problem statement for all given quantities. Physical Concepts & Formulas This problem applies fundamental…

Problem Statement Solve the Newton’s Laws / mechanics problem: In a Newton’s rings setup, the 5th dark ring in reflected light has radius $r_5 = 1.4$ mm for $\lambda = 550$ nm. Find the radius of curvature $R$ of the lens. Dark rings in reflected light (destructive interference): $$r_m^2 = m\lambda R$$ $$R = \frac{r_m^2}{m\lambda}…

Problem Statement A thin soap film ($n = 1.33$) is illuminated by white light at normal incidence. The film appears bright for $\lambda = 500$ nm in reflected light. Find the minimum thickness of the film. Given Information See problem statement for all given quantities. Physical Concepts & Formulas This problem applies fundamental physics principles…

Problem Statement Solve the Newton’s Laws / mechanics problem: Newton’s rings are observed using light of wavelength $\lambda = 589$ nm. The radius of the $m = 10$th bright ring is found to be $r_{10} = 3.0$ mm. Find the radius of curvature of the lens. For Newton’s rings (bright rings in reflected light, with…

Problem Statement In Young’s experiment, what is the phase difference between two interfering waves at a point on the screen that is 2 mm from the central maximum? Given: $d = 0.4$ mm, $L = 1.0$ m, $\lambda = 600$ nm. Given Information See problem statement for all given quantities. Physical Concepts & Formulas This…

Problem Statement Solve the elasticity problem: In Young’s experiment, the slits are separated by $d = 0.5$ mm, the screen is $L = 1.5$ m away, and the wavelength is $\lambda = 600$ nm. Find the fringe width. $$\Delta y = \frac{\lambda L}{d} = \frac{600\times10^{-9}\times1.5}{0.5\times10^{-3}} = \frac{9\times10^{-7}}{5\times10^{-4}} = 1.8\times10 Given Information See problem statement for…

Problem Statement Solve the elasticity problem: In Young’s experiment ($d = 1.0$ mm, $L = 2.0$ m, $\lambda = 500$ nm), find how many bright fringes are observed on a screen of width $W = 20$ cm. $$\Delta y = \frac{\lambda L}{d} = \frac{500\times10^{-9}\times2.0}{1.0\times10^{-3}} = 1.0\times10^{-3}\text{ m} = 1\text{ mm}$$ $$N = \frac{W}{\Delta y Given…

Problem Statement Solve the optics problem: A ray passes through a glass plate (thickness $t = 5.0$ cm, $n = 1.5$) at normal incidence. Find the extra optical path compared with the same path in air. Optical path in glass: $n \cdot t = 1.5 \times 5.0 = 7.5$ cm. Optical path in air alone:…