Category: Part 5: Optics

Problem Statement Nitrobenzene in a Kerr cell ($l = 5.0$ cm) with electric field $E = 8.0\times10^5$ V/m shows birefringence. Kerr constant $K = 2.2\times10^{-12}$ m/V². Find the phase retardation between ordinary and extraordinary rays. Given Information See problem statement for all given quantities. Physical Concepts & Formulas This problem applies fundamental physics principles to…

Problem Statement Solve the oscillation/wave problem: Linearly polarized light at 45° to the optic axis of a quarter-wave plate passes through it. Describe the emerging polarization state. The quarter-wave plate introduces a $90°$ phase difference between the ordinary and extraordinary components. When the incident light makes $45°$ with the axes, the Given Information See problem…

Problem Statement A glucose solution in a 20 cm tube rotates the polarization plane by $\phi = 11°$. The specific rotation of glucose is $[\alpha] = 52.7°$ per dm per g/cm³. Find the concentration. Given Information See problem statement for all given quantities. Physical Concepts & Formulas This problem applies fundamental physics principles to the…

Problem Statement Solve the optics problem: A quartz plate (optical rotation $\rho = 21.7°$/mm at $\lambda = 589$ nm) is used to rotate the polarization by $\phi = 90°$. Find the required thickness. $$t = \frac{\phi}{\rho} = \frac{90°}{21.7°/\text{mm}} \approx \boxed{4.15\text{ mm}}$$ Given Information $t = \frac{\phi}{\rho} = \frac{90°}{21.7°/\text{mm}} \approx \boxed{4.15\text{ mm}$ Physical Concepts & Formulas…

Problem Statement A quartz wave plate has birefringence $\Delta n = n_e – n_o = 0.0091$ at $\lambda = 550$ nm. Find the thickness of a quarter-wave plate. Given Information See problem statement for all given quantities. Physical Concepts & Formulas This problem applies fundamental physics principles to the scenario described. The solution requires identifying…

Problem Statement Unpolarized light of intensity $I_0$ passes through two polarizers. The second (analyzer) is at angle $\theta = 60°$ to the first. Find the transmitted intensity. Given Information See problem statement for all given quantities. Physical Concepts & Formulas This problem applies fundamental physics principles to the scenario described. The solution requires identifying the…

Problem Statement Unpolarized light falls on a glass surface ($n = 1.5$) at Brewster’s angle. Find the degree of polarization of the reflected beam. Given Information See problem statement for all given quantities. Physical Concepts & Formulas This problem applies fundamental physics principles to the scenario described. The solution requires identifying the relevant conservation laws…

Problem Statement A beam of linearly polarized light (intensity $I_0 = 100$ W/m²) passes through a polarizer whose transmission axis makes angle $\theta = 30°$ with the polarization direction. Find the transmitted intensity. Given Information See problem statement for all given quantities. Physical Concepts & Formulas This problem applies fundamental physics principles to the scenario…

Problem Statement A slit of width $b = 0.15$ mm is illuminated by $\lambda = 600$ nm. At a point where $\sin\theta = 0.006$, find the intensity as a fraction of the central maximum intensity. Given Information See problem statement for all given quantities. Physical Concepts & Formulas This problem applies fundamental physics principles to…

Problem Statement X-rays of wavelength $\lambda = 0.154$ nm are reflected from the (100) planes of a crystal with lattice spacing $d = 0.282$ nm. Find the Bragg angle for the first-order reflection. Given Information See problem statement for all given quantities. Physical Concepts & Formulas This problem applies fundamental physics principles to the scenario…