A laser beam has a velocity in a vacuum of c = 3 × 108 m/s. A student runs an experiment in which a liquid is placed in a tank of length L = 11.2 m. The time it takes for the beam to make it across the tank is timed to be t = 64 ns. (a) Write an expression for the liquid's index of refraction, n. (b) Numerically, what is this index?

A laser beam has a velocity in a vacuum of c = 3 × 108 m/s. A student runs an experiment in which a liquid is placed in a tank of length L = 11.2 m. The time it takes for the beam to make it across the tank is timed to be t = 64 ns. (a) Write an expression for the liquid's index of refraction, n. (b) Numerically, what is this index?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter25: Reflection And Refraction Of Light

Section: Chapter Questions

Problem 7OQ: Light traveling in a medium of index of refraction n1 is incident on another medium having an index...

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Light traveling in a medium of index of refraction n1 is incident on another medium having an index of refraction n2. Under which of the following conditions can total internal reflection occur at the interface of the two media? (a) The indices of refraction have the relation n2 n1. (b) The indices of refraction have the relation n1 n2. (c) Light travels slower in the second medium than in the first. (d) The angle of incidence is less than the critical angle. (e) The angle of incidence must equal the angle of refraction.
The index of refraction for water is about 43. What happens as a beam of light travels from air into water? (a) Its speed increases to 43c, and its frequency decreases. (b) Its speed decreases to 34c, and its wavelength decreases by a factor of 34. (c) Its speed decreases to 34c, and its wavelength increases by a factor of 43. (d) Its speed and frequency remain the same. (e) Its speed decreases to 34c, and its frequency increases.
A laser beam shines along the surface of a block of transparent material (see Fig). Half of the beam goes straight to a detector, while the other half travels through the block and then hits the detector. The time delay between the arrival of the two light beams at the detector is 6.25 ns. What is the index of refraction of this material?
A ray of light is incident on an air/water interface. The ray makes an angle of theta= 33 degrees with respect to the normal of the surface. The index of the air is n1 = 1 while water is n2 = 1.33. Numerically, what is the angle in degree?
X rays are typically used to kill off cancer cells, however an issue some radiologists run into is the damage an x-ray may do to surrounding tissue. Because of this, accuracy plays a key role in radiation therapy. Suppose you are a medical physicist, and you have been given the task of choosing a medium with a proper index of refraction to bend the x rays such that they only hit the tumor. Suppose you know that the x ray comes in at an angle of 20 degrees with respect to the normal of your second medium. You know the tumor expands out to 5 degrees on either side of the normal what is the minimum index of refraction needed for the x ray to hit the tumor
Light traveling through an optical fiber (n=1.44) reaches the end of the fiber and exits into air. (a) If the angle of incidence on the end of the fiber is 30°, what is the angle of refraction outside the fiber? (b) How would your answer be different if the angle of incidence were 50°? (c) What would be the speed of the light in optical fiber? (d) What would be the angle of refraction outside the fiber into water(refraction index n water = 1.33)?
A beam of light traveling through a liquid (of index of refraction n1 = 2.11) is incident on a surface at an angle of θ1 = 22° with respect to the normal to the surface. It passes into the second medium and refracts at an angle of θ2 = 30.5° with respect to the normal. Part (a) What is the index of refraction of the second material? Part (b) What is the light's velocity in medium 1, in meters per second? Part (c) What is the light's velocity in medium 2, in meters per second?
A beam of light traveling in air strikes a slab of transparent material. The incident beam makes an angle of 60° with the normal, and the refracted beam make an angle of 50° with the normal. What is the speed of light in the transparent material? (c = 3.0 × 108 m/s) Provide the answer: x 108 m/s
A ray of light travels from air into another medium, making an angle of θ1 = 45.0° with the normal A light ray in air is moving down and to the right and is incident on a second medium. It makes an angle θ1 with the vertical. Inside the vertical, it continues to move down and to the right but at a steeper slope than the incident ray. It makes an angle θ2 with the vertical. (a) Find the angle of refraction θ2 if the second medium is sodium chloride. °(b) Find the angle of refraction θ2 if the second medium is diamond. °(c) Find the angle of refraction θ2 if the second medium is benzene. °
A ray of light crosses the boundary between some substance with n = 1.4 and air, going from the substance into air. If the angle of incidence is 24◦ what is the angle of refraction?
A ray of light strikes a flat block of glass at an incidence angle of ?1 = 38.6°. The glass is 2.00 cm thick and has an index of refraction that equals ng = 1.52. a.) The distance d separates the twice-bent ray from the path it would have taken without the glass in the way. What is this distance (in cm)? b.) At what speed (in m/s) does the light travel within the glass? c.) How many nanoseconds does the light take to pass through the glass along the angled path shown here?
Q.1 A light ray is reflected from a mirror with an angle 60.0° to the normal. What was the angle of incidence? Q.2 Light passes through a transparent substance at a speed of 2 ×108 m/s. What is the index of refraction of the substance? Q.3 The wavelength of a monochromatic light source is measured to be 5.5 × 10-8 m in a diffraction experiment. (a) What is the frequency? (b) What is the energy of a photon of this light?