Experiment 8: Refraction of Light — Worked Examples

A ray in air strikes glass with refractive index $1.52$ at an incidence angle of $40.0^\circ$. Determine the refraction angle.

A pin-tracing trial gives $i=42.0^\circ$ and $r=26.2^\circ$ for air entering a glass prism. Estimate the prism refractive index.

A prism has $A=60.0^\circ$ and $n=1.52$. A ray in air enters at $i=40.0^\circ$. Determine $r_1$, $r_2$, the emergence angle $e$, and total deviation $\delta$.

Determine the critical angle for light traveling from glass with $n_1=1.54$ into water with $n_2=1.33$.

A ray travels from oil with $n_1=1.45$ into water with $n_2=1.33$ at $i=50.0^\circ$. Determine the refraction angle.

A $5.0\,\text{cm}$ object is $30.0\,\text{cm}$ in front of a convex lens with focal length $20.0\,\text{cm}$. Determine image distance, magnification, image height, and orientation.

A lens has $f=15.0\,\text{cm}$ and the fixed object-screen separation is $L=100.0\,\text{cm}$. Determine the separation $d$ between the two sharp-image lens positions and the two object distances.

In a fixed object-screen experiment, $L=100.0\,\text{cm}$ and the two sharp-image lens positions are separated by $d=40.0\,\text{cm}$. Determine the focal length.

Convex lenses with $f_1=15.0\,\text{cm}$ and $f_2=20.0\,\text{cm}$ are placed in contact. An object and screen are fixed $100.0\,\text{cm}$ apart. Determine the equivalent focal length and the lens position that produces the smaller real image. The object height is $5.0\,\text{cm}$.

A prism experiment gives a combined mean index of $1.515$. A reference value for the tested glass at the relevant wavelength is $1.520$. Determine percent error.