Repeat Problem when the materials are surrounded by water.

The index of refraction for violet light in silica flint glass is 1.66, and that for red light is 1.62. What is the angular spread of visible light passing through a prism of apex angle $60.0^{\circ}$ if the angle of incidence is $50.0^{\circ}?$

A triangular glass prism with apex angle $\Phi$ has an index of refraction n. What is the smallest angle of incidence $\theta_{1}$ for which a light ray can emerge from the other side?

A triangular glass prism with apex angle $\Phi=60.0^{\circ}$ has an index of refraction $n=1.50$ What is the smallest angle of incidence $\theta_1$ for which a light ray can emerge from the other side?

A triangular glass prism with apex angle $60.0^{\circ}$ has an index of refraction of 1.50. (a) Show that if its angle of incidence on the first surface is $\theta_{1}=48.6^{\circ},$ light will pass symmetrically through the prism. (b) Find the angle of deviation $\delta_{\min }$ for $\theta_{1}=48.6^{\circ}$. (c) Find the angle of deviation if the angle of incidence on the first surface is $45.6^{\circ}.$ (d) Find the angle of deviation if $\theta_{1}=51.6^{\circ}$.

A prism that has an apex angle of $50.0^{\circ}$ is made of cubic zirconia, with $n=2.20$. What is its angle of minimum deviation? Figure Find the angle of deviation $\delta_{\min }$ for $\theta_1=48.6^{\circ}$. (c) What If? Find the angle of deviation if the angle of incidence on the first surface is $45.6^{\circ}$. (d) Find the angle of deviation if $\theta_1=51.6^{\circ}$.

Light of wavelength 700 nm is incident on the face of a fused quartz prism (n = 1.458 at 700 nm) at an incidence angle of $75.0^{\circ}.$ The apex angle of the prism is $60.0^{\circ}.$ Calculate the angle (a) of refraction at the first surface, (b) of incidence at the second surface, (c) of refraction at the second surface, and (d) between the incident and emerging rays.

A solar eclipse occurs when the Moon passes between the Earth and the Sun. Use a diagram to show why some areas of the Earth see a total eclipse, other areas see a partial eclipse, and most areas see no eclipse

In an experiment to measure the speed of light using the apparatus of Fizeau ( the distance between light source and mirror was $11.45 \mathrm{~km}$ and the wheel had 720 notches. The experimentally determined value of $c$ was $2.998 \times 10^8 \mathrm{~m} / \mathrm{s}$. Calculate the minimum angular speed of the wheel for this experiment.

A narrow white light beam is incident on a block of fused quartz at an angle of $30.0^{\circ}$. Find the angular width of the light beam inside the quartz.

The speed of a water wave is described by $v=\sqrt{g d}$, where $d$ is the water depth, assumed to be small compared to the wavelength. Because their speed changes, water waves refract when moving into a region of different depth. Suppose waves approach the coast, carrying energy with uniform density along originally straight wave fronts. Show that the energy reaching the coast is concentrated at the headlands and has lower intensity in the bays.

The speed of a water wave is described by $v=\sqrt{g d}$, where d is the water depth, assumed to be small compared to the wavelength. Because their speed changes, water waves refract when moving into a region of different depth. Sketch a map of an ocean beach on the eastern side of a landmass. Show contour lines of constant depth under water, assuming reasonably uniform slope. Sketch a map of a coastline with alternating bays and headlands, as suggested in the given figure. Again make a reasonable guess about the shape of contour lines of constant depth. Suppose that waves approach the coast, carrying energy with uniform density along originally straight wavefronts. Show that the energy reaching the coast is concentrated at the headlands and has lower intensity in the bays.

The speed of a water wave is described by $v=\sqrt{g d}$, where d is the water depth, assumed to be small compared to the wavelength. Because their speed changes, water waves refract when moving into a region of different depth. Sketch a map of an ocean beach on the eastern side of a landmass. Show contour lines of constant depth under water, assuming reasonably uniform slope. Suppose that waves approach the coast from a storm far away to the north-northeast. Demonstrate that the waves will move nearly perpendicular to the shoreline when they reach the beach.

The speed of a water wave is described by , where d is the water depth, assumed to be small compared to the wavelength. Because their speed changes, water waves refract when moving into a region of different depth. (a) Sketch a map of an ocean beach on the eastern side of a landmass. Show contour lines of constant depth under water, assuming a reasonably uniform slope. (b) Suppose waves approach the coast from a storm far away to the north–northeast. Demonstrate that the waves move nearly perpendicular to the shoreline when they reach the beach. (c) Sketch a map of a coastline with alternating bays and headlands. Again make a reasonable guess about the shape of contour lines of constant depth. (d) Suppose waves approach the coast, carrying energy with uniform density along originally straight wave fronts. Show that the energy reaching the coast is concentrated at the headlands and has lower intensity in the bays. $v = \sqrt { g d }$