Category: Part 5: Optics

Problem Statement A lamp of intensity $I = 200$ cd hangs 3.0 m above a table. Find the illuminance at a point on the table 4.0 m horizontally from directly below the lamp. Given Information See problem statement for all given quantities. Physical Concepts & Formulas This problem applies fundamental physics principles to the scenario…

Problem Statement A point source of luminous intensity $I = 80$ cd emits uniformly in all directions. Find the total luminous flux. 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 and equations…

Problem Statement Solve the optics problem: A converging beam of light is headed toward a point 15 cm behind a convex mirror of focal length 10 cm. Find where the beam actually focuses after reflection. The convergence point acts as a virtual object at $u = +15$ cm (behind mirror). For a convex mirror $f…

Problem Statement A point source of luminous intensity $I = 100$ cd is placed 2.0 m above a horizontal surface. Find the illuminance $E$ (a) directly below the source and (b) at a point 2.0 m to the side. Given Information See problem statement for all given quantities. Physical Concepts & Formulas This problem applies…

Problem Statement Solve the optics problem: Two identical thin prisms ($n = 1.5$, apex angle $\alpha = 6°$) are placed base-to-base. Find the total deviation when a ray passes through both. Each prism deviates the ray by $\delta = (n-1)\alpha = 0.5\times6° = 3°$. The second prism deviates in the opposite direction. $$\delta_{total} = \delta_1…

Problem Statement Solve the optics problem: A ray of light passes from air into a medium and is refracted at angle $r = 28°$ when the angle of incidence is $\theta = 45°$. Find the refractive index of the medium. $$n = \frac{\sin\theta}{\sin r} = \frac{\sin 45°}{\sin 28°} = \frac{0.7071}{0.4695} \approx \boxed{1.506}$$ Given Information See…

Problem Statement Solve the optics problem: A diverging lens ($f = -20$ cm) has an object placed 30 cm in front of it. Find the image position and state whether it is real or virtual. $$\frac{1}{v} = \frac{1}{f}+\frac{1}{u} = \frac{1}{-20}+\frac{1}{-30} = -\frac{1}{20}-\frac{1}{30} = -\frac{5}{60} = -\frac{1}{12}$$ $$v = -12\text{ cm}$$ Image Given Information $v =…

Problem Statement Sunlight travelling in the $x$-direction is scattered by air molecules. Find the degree of polarization of light scattered at $90°$ to the incident beam (i.e., in the $y$-direction). Given Information See problem statement for all given quantities. Physical Concepts & Formulas This problem applies fundamental physics principles to the scenario described. The solution…

Problem Statement Flint glass (Verdet constant $V = 3.17$ min/(G·cm)) is placed in a magnetic field $B = 500$ G. The glass length is $l = 10$ cm. Find the rotation of the polarization plane. Given Information See problem statement for all given quantities. Physical Concepts & Formulas This problem applies fundamental physics principles to…

Problem Statement The intensity of Rayleigh scattered light from air is proportional to $\lambda^{-4}$. Find the ratio of scattered intensities for blue light ($\lambda_1 = 450$ nm) to red light ($\lambda_2 = 650$ nm). Given Information See problem statement for all given quantities. Physical Concepts & Formulas This problem applies fundamental physics principles to the…