Light of wavelength 550 nm in air is found to travel at 1.96 *0^8 m/s in a certain liquid....
Question:
Light of wavelength {eq}550 \ nm {/eq} in air is found to travel at {eq}1.96 *0^8 \ m/s {/eq} in a certain liquid.
Determine the index of refraction of the liquid.
Refractive Index:
When light is made to pass through a material that is different from where it was passing through before (such as from air to glass), then the light bends. This phenomenon is called refraction. Snell's law dictates how light bends in terms of angles and uses a constant that is known as the refractive index. The refractive index basically tells us how much the new material can bend the light. In terms of the original speed of light c and the slowed down speed v, the refractive index can be determined as:
{eq}\displaystyle n = \frac{c}{v} {/eq}
Answer and Explanation: 1
Become a Study.com member to unlock this answer! Create your account
View this answer
Given:
- {eq}\displaystyle v = 1.96\ \times\ 10^8\ m/s {/eq} is the reduced speed of light
The refractive index of the material can be determined...
See full answer below.
Ask a question
Our experts can answer your tough homework and study questions.
Ask a question Ask a questionSearch Answers
Learn more about this topic:
Get access to this video and our entire Q&A library
Refraction & Dispersion: Definition, Snell's Law & Index of Refraction
from
Chapter 5 / Lesson 14
9.3K
When a light wave passes from one medium into another, it changes direction in a process called refraction. This lesson investigates the properties of refraction, including the index of refraction and the ratio known as Snell's Law.
Related to this Question
- Light of wavelength 550 nm in the air is found to travel at 1.96 \times 10^8 m/s in a certain liquid. (c = 3.0 \times 10^8 m/s) (a) What is the index of refraction of this liquid? (b) What is the fr
- Light with a wavelength of 618 nm in air travels at 1.90 x 10^8 m/s in a particular type of glass. The index of refraction for water is nwater = 1.33. (a) Determine the index of refraction for the gla
- Light of certain wavelength in a vacuum has wavelength of 438 nm if it propagates in water and 390 nm if it propagates in benzene. Calculate the ratio of refractive index of water to the refractive in
- Light with a wavelength of 589 nm travels from a certain material to air. Calculate the critical angle for flint glass (index of refraction 1.66) when it is surrounded by linseed oil (index of refraction 1.48).
- A source monochromatic light of wavelength 650 nm in water (n = 1.333). When the light passes through another liquid, its wavelength reduces to 600 nm. What is this other liquid index refraction?
- The critical angle for a certain liquid-air surface is 31^o. Determine the index of refraction of the liquid and the speed of light in the liquid.
- The speed of light in a clear colorless liquid is 2.26 times 10^8 m/s. What is the index of refraction of the liquid?
- The critical angle for a certain liquid-air surface is 36 degrees. Determine the index of refraction of the liquid and the speed of light in the liquid.
- The critical angle for a certain liquid-air surface is 27 degrees. Determine the index of refraction of the liquid and the speed of light in the liquid.
- The critical angle for a certain liquid-air surface is 21 degrees. Determine the index of refraction of the liquid and the speed of light in the liquid.
- The speed of the yellow light in a certain liquid is 2.4108 m s-1. Find the refractive index of the liquid.
- Light of a certain frequency has a wavelength of 438 nm in water. The index of refraction of water for this light is 1.333. Part A) What is the wavelength of this light in benzene? The index of refraction of benzene for this light is 1.501. Express your a
- The index of refraction for water measured with the yellow light of vacuum wavelength 589 nm is 1.33. The speed of the yellow light in water? ____m/s
- Monochromatic light of wavelength 589 nm is incident from the air on a water surface. What are the wavelength, frequency and speed of (a) reflected, and (b) refracted light? The refractive index of water is 1.33.
- Consider a light ray which enters from air to a liquid, where the index of refraction of the liquid is given by n = 1.2. a. What is the ratio of speed of light in the medium to the speed of light in air, \frac{v'}{c}? b. What is the ratio of wavelength o
- Light travels a distance of 0.925 m in 3.89 ns in a given substance. What is the index of refraction of this substance?
- Light of wavelength lambda = 425 nm in air enters a glass prism. The index of refraction of air is n_a and the index of refraction of glass is n_g. (a) Express the wavelength of the light in the glass
- A ray of light in air with a wavelength of 400 nm is incident on a liquid with an index of refraction of 1.4. The ray of light makes an angle of 45 degrees with the normal when it enters the liquid fr
- In a certain time, light travels 3.85 km in a vacuum. During the same time, light travels only 2.01 km in a liquid. What is the refractive index of the liquid?
- In a certain time, light travels 2.80 km in a vacuum. During the same time, light travels only 1.49 km in a liquid. What is the refractive index of the liquid?
- In a certain time, light travels 4 km in a vacuum. During the same time, light travels only 2.25 km in a liquid. What is the refractive index of the liquid? (a) 1.8 (b) 1.6 (c) 1.4 (d) 1.2 (e) 1.
- The speed of the yellow light a certain liquid is 2.4\times{10^{8ms^{-1}. Find the refractive index of the liquid.
- The index of refraction for water measured with the yellow light of vacuum wavelength 589 nm is 1.33. What is the speed of the yellow light in water?
- Assume two waves of light in air, of wavelength 681 nm, are initially in phase. One travels through a glass layer of index of refraction n1 = 1.58 and thickness L. The other travels through an equally
- Light is shone from a liquid onto the air. The angle of incidence in the liquid is 45 ? . The angle of refraction is measured to be 60 ? to the nearest degree. What is the refractive index of the liq
- A light beam with a wavelength of 500 nm is reflected constructively from a thin layer of oil having an index of refraction 1.25. The oil floats on the top of water of index of refraction 1.33. What i
- A ray of light, emitted beneath the surface of an unknown liquid with air above it, undergoes total internal reflection, as shown in the figure below. What is the index of refraction for the liquid?
- A beam of light having a frequency in a vacuum of 6.0 times 10^{14} Hz enters a liquid of refractive index 2.0. It then emerges through a piece of glass of refractive index of 1.5. What is the frequency of the light in the liquid? A) 2.0 times 10^{14} H
- Light enters a liquid (from air) at an angle of 46 degrees with respect to the normal and is refracted into the liquid at an angle of 25 degrees with respect to the normal. Determine the index of refraction of the liquid.
- A ray of light, emitted beneath the surface of an unknown liquid with air above it, undergoes total internal reflection as shown in Figure 25.55. What is the index of refraction for the liquid and its likely identification?
- Calculate the index of refraction for a medium in which the speed of light is 2.012x10^8m/s, and identify the most likely substance.
- The index of refraction of a certain liquid is 2.1. What is the critical angle for a light ray traveling in this liquid toward a flat layer of air above it?
- The index of refraction of a certain liquid is 2.2. What is the critical angle for a light ray traveling in this liquid toward a flat layer of air above it?
- The index of refraction of a certain liquid is 2.0. What is the critical angle for a light ray traveling in this liquid toward a flat layer of air above it?
- A light beam in air strikes the surface of a liquid at an angle 23.6 ? from the normal. The angle of refraction in the liquid was measured to be 15.8 ? . Calculate the index of refraction for the ob
- Light of wavelength 655 nm is incident normally on a film of water 10^{-4} cm thick. The index of refraction of water is 1.33. (a) What is the wavelength of the light in the water? (b) How many wavele
- The angle of incidence of light passing from air to a liquid is 38 degrees. The angle of refraction is 24.5 degrees. What is the index of refraction of the liquid?
- A ray of light emitted beneath the surface of an unknown liquid with air above it, undergoes total internal reflection as shown. What is the index of refraction for the liquid?
- Blue light wavelength in vacuum 480 nm has an index of refraction of 1.6. What is the index of refraction in vacuum?
- Assume that two waves of light in air, of wavelength 645 nm, are initially in phase. One travels through a glass layer of index of refraction n1 = 1.61 and thickness L. The other travels through an equally thick plastic layer of index of refraction n2 = 1
- The angle of incidence at a solid/liquid boundary is 59.6 deg and the index of refraction of the solid is n = 1.55. a) What must be the index of refraction of the liquid such that the direction of the light entering the liquid is not changed? b) What is
- Light of wavelength 564 nm is incident normally on a film of water 1.0 micro m thick. The index of refraction of water is 1.33. (a) What is the wavelength of the light in the water? (b) How many wavel
- The index of refraction for red light in a certain liquid is 1.319; the index of refraction for violet light in the same liquid is 1.334. Part A Find the dispersion theta(v) - theta(x) for red and vio
- The velocity of light in a certain medium is 1.991 x 10^8 m/s. What is the index of refraction of this medium?
- The angle of incidence at a solid/liquid boundary is 79.3^o, and the index of refraction of the solid is n = 1.83. (a) What must be the index of refraction of the liquid such that the direction of the light entering the liquid is not changed? (b) What i
- The index of refraction of water for a given monochromatic light in water is n=4/3. The wavelength of this light in water is 500\ \mathrm{nm}. a) Find the speed of this light in water. b. Find the energy of one photon of this light. Does this energy ch
- Assume two light waves, of wavelength 620 nm in air, are initially exactly in phase. The indexes of refraction of the media are n_1=1.33 and n_2=1.60. a. What is the least thickness L that will put
- The index of refraction for red light in a certain liquid is 1.322; the index of refraction for violet light in the same liquid is 1.332. Find the dispersion theta v-theta r for red and violet light w
- A layer of benzene that has thickness (t) is floating on water. Benzene has refractive index 1.50 and the refractive index of water is 1.33. Coherent light of wavelength 490 nm in air is incident on t
- The angle of incidence at a solid/liquid boundary is 83.3 degrees and the index of refraction of the solid is n = 1.65. (a) What must be the index of refraction of the liquid such that the direction of the light entering the liquid is not changed? (b) Wha
- A light ray is emitted 15 cm below the surface of an unknown liquid it travels a horizontal distance of 13.4 cm to the surface and it undergoes total internal reflection having air above it. Calculate the refractive index of liquid and its likely identifi
- Suppose the index of refraction for a substance is 2.0. How fast will light travel through this substance?
- Light of wavelength 632 nm is incident on an air/glass boundary. Calculate the wave speed in the glass medium if the index of refraction of the glass is 1.51.
- Calculate the velocity of light that travels through a medium with an index refraction of 2.23
- A glass sheet 1.30 \mum thick is suspended in air. In reflected light, there are gaps in the visible spectrum at 547 nm and 625 nm. Calculate the minimum value of the index of refraction of the glass
- The angle of incidence at a solid/liquid boundary is 58.1 degrees, and the index of refraction of the solid is n = 1.79. (a) What must be the index of refraction of the liquid such that the direction
- What is the index of refraction of a liquid in which the speed of light is 2.22 x 10 8 m/s?
- A ray of light, emitted beneath the surface of an unknown liquid with air above it, undergoes total internal reflection as shown in the figure below. (Assume d = 23.0 cm and h = 20.3 cm.) What is the index of refraction for the liquid and its likely ident
- What is the index of refraction of a material for which the wavelength of light is 0.671 times its value in a vacuum? Identify the likely substance.
- A student measures the index of refraction of a gooey, transparent liquid to be 1.41. How fast does light travel in this liquid?
- A soap bubble (with index of refraction 1.33) is floating in air. If the thickness of the bubble wall is 119 nm, what is the wavelength of the visible light that is most strongly reflected?
- A 64.6 nm light beam in the air hits the flat surface of a certain liquid, and the beam is split into a reflected ray and a refracted ray. If the reflected ray is completely polarized when the angle of refraction is 36^{\circ}, what is the wavelength of
- The vitreous humor, a transparent, gelatinous fluid that fits most of the eyeball, has an index of refraction of 1.34. Visible light ranges in wavelength from 400 nm (violet) to 700 nm (red), as measu
- A cup with refractive index n2 = 1.8 has outer radius b = 6.0 cm and inner radius a = 4.0 cm. It is filled with a liquid with refractive index n3 = 1.3. In the surrounding medium with n1 = 1.0, a ray of light travels along a trajectory that is at a perpen
- The speed of yellow sodium light in a certain liquid is 1.92 \times 10^8 m/s. With respect to air, what is the index of refraction of this liquid for sodium light?
- Light of wavelength 517 nm in air enters a fishbowl filled with water and then exits through the crown-glass wall of the container. What is the wavelength of the light in the water? The refraction index for water is 1.333 and for crown-glass 1.52. Answer
- A thin wafer of a solid with a refractive index n1 = 1.14 and thickness t floats on a fluid with a refractive index n2 = 1.37. Light with a wavelength lambda = 533 nm shines directly down onto the wafer. What is the wavelength of light inside the wafer?
- The index of refraction for red light in a certain liquid is 1.321; the index of refraction for violet light in the same liquid is 1.333. Find the dispersion for red and violet light when both are incident on the flat surface of the liquid at an angle of
- Assume two waves of light in air, of wavelength 480 nm, are initially in phase. One travels through a glass layer of index of refraction n1 = 1.48 and thickness L. The other travels through an equally
- Assume two waves of light in air, of wavelength 430 nm, are initially in phase. One travels through a glass layer of index of refraction n1 = 1.64 and thickness L. The other travels through an equally
- Calculate the index of refraction for a medium in which the speed of light is 2.012 10^8 m/s, and identify the most likely substance based on the table below.
- In the figure, a ray of light enters the liquid from air and is bent toward the normal as shown. What is the index of refraction n for the liquid?
- A beam of light of frequency of 3*10^14 Hz traveling in air refracts into a material of refractive index n_2 = 1.42. Its wavelength and speed in this medium are meters and m/s. (a) 1.42*10^-6 m and 2.11*10^-8 m/s (b) 1.42*10^-6 m and 2.11*10^8 m/s (c) 0
- A certain kind of glass has an index of refraction of 1.65 for blue light of wavelength 430 nm and an index of refraction 1.615 for red light with wavelength 680 nm. If a beam of light containing the
- Light is incident normally from air onto a liquid film that is on a glass plate. The liquid film is 164 nm thick, and the liquid has index of refraction 1.60. The glass has index of refraction n = 1.5
- If the critical angle of a liquid is 41.4 degrees, find the index of refraction for that liquid.
- The index of refraction for water measured with light of vacuum wavelength 589 nm is 1.33. What is the critical angle for the total internal reflection at the water-air interface?
- A cup with refractive index n_2 = 1.8 has outer radius b = 6.0 cm and inner radius a = 4.0 cm. It is filled with a liquid with refractive index n_3 = 1.3. In the surrounding medium with n_1 = 1.0, a ray of light travels along a trajectory that is at a per
- Suppose light travels from water to another substance, with an angle of incidence of 10.0 degrees and an angle of refraction of 14.9 degrees. What is the index of refraction of the other substance?
- A tank of gasoline (n = 1.40) is open to the air (n = 1.00). A thick film of liquid floats on the gasoline and has a refractive index that is between 1.00 and 1.40. Light that has a wavelength of 634 nm (in vacuum) shines perpendicularly down through the
- A tank of gasoline (n = 1.40) is open to the air (n = 1.00). A thick film of liquid floats on the gasoline and has a refractive index that is between 1.00 and 1.40. Light that has a wavelength of 652 nm (in vacuum) shines perpendicularly down through the
- Blue light travels from air into glass that has an index of refraction of 1.54. How does the wavelength of the light in air compare with the wavelength of the light in the glass? a. The wavelength of the light becomes shorter in the glass. b. The waveleng
- Suppose that light passing through an unknown material has wavelength that is 0.671 times its value in a vacuum. What is the index of refraction, n, of the material?
- 1. Index of refraction is defined as the speed of light in a vacuum divided by the speed of light in the medium. What is the index of refraction for glass? Speed of light c = 3.0 times 10^8 m/s. Speed
- The speed of light in a substance is 2.15x108 m/s What is the index of refraction of this substance?
- 1. A light ray in carbon disulfide is incident on ice at a 15^o angle of incidence. Find the angle of refraction. 2. The critical angle for a certain liquid-air surface is 52^o. Determine the index of refraction of the liquid and the speed of light in th
- Calculate the refractive index for a ray travelling from air to water given that the angle of incidence is 30 ? and the angle of refraction in the water is 22 ? .Determine the speed of the ray in w
- The speed of yellow light (from a sodium lamp) in a certain liquid is measured to be 1.92 \times 10^8 m/s. What is the index of refraction of this liquid for the light?
- The index of refraction of water is 1.33. What would be the speed of a light wave passing through at this medium? 4x10^8m/s 2.3x10^8m/s 4.4x10^-9m/s 2.6x10^-9m/s
- The index of refraction of water is 1.33. What would be the speed of a light wave passing through at this medium? a) 4 \times 10^8 m/s b) 2.3 \times 10^8 m/s c) 4.4 \times 10^{-9} m/s d) 2.
- A ray of light passes from liquid into air, as shown in the figure. What is the speed of the light in the liquid?
- A thin coating (t = 346.5 nm, n = 1.470) is placed on a glass lens. Which visible (400 nm < wavelength < 700nm) wavelength(s) will be absent in the reflected beam if the glass has an index of refraction n1 = 1.350? Also find the same for n = 1.675.
- A beam of light is emitted 8.0 cm beneath the surface of a liquid and strikes the surface 7.0 cm from the point directly above the source. If total internal reflection occurs, what can you say about the index of refraction of the liquid?
- Find the refractive index of a transparent medium in which light travels with a speed of 1.8\times 10^8 m per s.Given that speed of light in vacuum is 3\times 10^8 m per s.
- The table lists the index of refraction for various substances at 20 degrees C for light with a wavelength of 589 nm in a vacuum.Through which substance will light with a vacuum wavelength of 589 nm travel with the greatest speed? fused quartz 1.458 eth
- The index of refraction of a substance is: a.) measured in radians. b.) the angle of refraction. c.) the speed of light in the substance. d.) the angle of incidence. e.) the speed of light in a vacuum divided by the speed of light in the substance.
- If a monochromatic beam of light with a wavelength of 590 nanometers is traveling through air and then enters a region of space where the index of refraction is 1.5, what will the light beam do? Will
- velocity of light in air and glass are 3.0*10^8m^-1 inverse 1.8*10^8m^-1 respectively one is for air and one is for glass. find the angle of refraction in glass. if the light travel from air to the gl
- The wavelength of light in a thin film is 360 nm and the wavelength of light in vacuum is 469 nm. What is the index of refraction for the film? Show your work.
Explore our homework questions and answers library
Browse
by subject