Sound waves undergo reflection and refraction, much as electromagnetic waves do. Here is one practical application of reflection and refraction in the field of health care: determining the location of a liver tumor. Suppose that a narrow beam of ultrasonic waves travels through surrounding tissue and enters the liver with an incidence angle of 51.0°. These inaudible sound waves travel 14.0% more slowly through the liver than through the medium that lies above. Suppose that the beam reflects off the tumor and emerges from the liver at a distance 13.0 cm from its entry point. Calculate the depth of the tumor (in cm) below the surface of the liver.

Question 2

Light with frequency 5.69E14 Hz travelling in vacuum enters a transparent material that has index of refraction equal to 4.66. What is the light frequency in the material (in m)?

Light with frequency 6.96E14 Hz travelling in vacuum enters a transparent material that has index of refraction equal to 1.72. What is the light wavelength in the material (in m)?

Two antennas located at points A and B are broadcasting radio waves of frequency 104.0 MHz. The signals start in phase with each other. The two antennas are separated by a distance d = 8.7 m. An observer is located at point P on the x axis, a distance x = 110.0 m from antenna A. The points A, P, and B form a right triangle. Now observer P walks along the x axis toward antenna A. What is P's distance from A when they first observe fully constructive interference between the two waves?

A cold distance planet has an atmosphere of hydrogen (speed of sound = 1320 m/s) over a liquid ocean of carbon dioxide (speed of sound = 259 m/s).   A sudden shift in the rocky crust beneath the ocean creates a sound wave that heads toward the surface at an angle of 7 degrees. At the surface, the wave is refracted with a refraction angle of . . . Group of answer choices 49 degrees. 38 degrees. The wave undergoes total internal reflection. 80 degrees.

Jimin applies a coating on a piece of glass to reduce its reflectivity when light with a frequency of 5.75 x 10¹4 Hz shines on it. If the material has an index of refraction of 1.375 and the glass has an index of refraction of 1.537, what is the minimum thickness the coating should have? (c = 3.00 x 108 m/s) 60.0 nm 145 nm 94.9 nm 65.2 nm

A coating is being applied to reduce the reflectivity of a pane of glass to light with a frequency of 4.14 × 10¹4 Hz that is incident normally on the pane. If the material has an index of refraction of 1.34 and the glass has an index of refraction of 1.537, what is the minimum thickness the coating should have in nanometers? Please keep one decimal place in your answer. (c = 3.00 × 108 m/s)

Unpolarized light passes through three polarizing filters. The first filter has its transmission axis parallel to the z direction, the second has its transmission axis at an angle of 30.0° from the z direction, and the third has its transmission axis at an angle of 60.0° from the z direction. If the light that emerges from the third filter has an intensity of 587.0 W/m², what is the original intensity of the light? (Assume both angles are measured in the same direction from the +z axis.) W/m2