The nonreflective coating on a camera lens with an index of refraction of 1.31 is designed to minimize the reflection of 620-nm light. If the lens glass has an index of refraction of 1.56, what is the minimum thickness of the coating that will accomplish this task? m

The nonreflective coating on a camera lens with an index of refraction of 1.31 is designed to minimize the reflection of 620-nm light. If the lens glass has an index of refraction of 1.56, what is the minimum thickness of the coating that will accomplish this task? m

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter3: Interference

Section: Chapter Questions

Problem 47P: To save money on making military aircraft invisible to radar, an inventor decides to coat them with...

See similar textbooks

Related questions

Q: A diver with a weight of 833 N dives from a boat with a mass of 375kg. If he leaves the boat with a…

Q: A small silver Christmas ball with a diameter of 6.25 cm was hanging on a Christmas tree. The…

A: Given: Focal length (f) = 6.25/4 = 1.56 cm Object distance (u) = 40 cm Object height (h) = 1.5 m…

Q: A convex mirror with a radius of curvature of -29.0 cm is used to form an image of an arrow that is…

A: The u-v-f relation for a spherical mirror (concave/convex) is 1v+1u=1f ....(1) The…

Q: If you start at the equator and travel to 10 degrees north approx. how many kilometers (or miles)…

Q: Discuss in words what happens to the wave phase at each boundary when referring to a thin film ray…

A: In a thin film ray diagram, a wave of light travels through a thin film that has two boundaries: the…

Q: Find the moment of inertia of the rod of mass m about the axis shown below by direct integration.…

A: To calculate the moment of inertia of a thin rod of mass M and length L about an axis through the…

Q: Use dimensional analysis to show that velocity in Equation 1 is measured in meters per second.…

Q: A 149.7 V battery is hooked to a 25 resistor. What is the resulting current (in A).

A: The battery has a voltage V=149.7 V The Resistor has resistance R=25 Ω Find:- What is the resulting…

Q: I have another solution using energy conservation where the gravitational potential energy is…

A: Solution: Given: m1 = mass of block 1 = 2.0 kg m2 = mass of block 2 = 3.0 kg X1 = extension in the…

Q: (a) Find the useful power output (in W) of an elevator motor that lifts a 2400 kg load a height of…

A: Potential energy =mass* acceleration due to gravity * height Kinetic energy =(mass* speed^2)/2 Value…

Q: A nonconducting sphere has radius R - 1.56 cm and uniformly distributed charge q +3.65 fC. Take the…

A: Write the expression for the electric field. E=kqrR3

Q: Radio station WCCO in Minneapolis broadcasts at a frequency of 8.30 x 10³ Hz. At a point some…

A: You have posted a question with multiple sub-parts. But as per the guidelines we are only be able to…

Q: The springs of a 1600 kg car compress 4.0 mm when its 69 kg driver gets into the driver's seat. ▾…

Q: Consider an ideal inductor L connected directly to an AC voltage source V, with I being the current…

A: Source voltage is V Current in the loop is I Inductance is L

Q: A 10.5 kg board 6.00 m long is supported by two sawhorses, one at each end. A 4.45 kg saw sits on…

A: Length of board: L = 6 m Mass of board: mb = 10.5 kg Mass of saw: ms = 4.45 kg Distance of saw from…

Q: List the components of Nuclear Reactor

A: The nuclear reactor is known as the heart of a nuclear power plant, it is a device used to initiate…

Q: The figure shows a ray of light that passes from the white material A (with index of refraction n₁ =…

A: Refractive index of white material A: nA = 1.1 Angle of incidence to normal: θ1 = 600 Angle of…

Q: Calculate the magnitude and direction of the magnetic Field at point P if R = 10 cm, I1 = 5 A and I2…

A: See below

Q: A laser with a wavelength of λ = 401 nm is incident on a diffraction grating. The m= 3 maxima…

A: Wavelength of the laser, λ=401 nm=401×10-9 m Maxima, m=3 Distance of the third maxima from central…

Q: A police officer is chasing a burglar across a rooftop. Both are running at a speed of 5 m/s. Before…

A: Initial horizontal speed of the burglar is vx=5 m/s Difference in height between the two building is…

Q: A horizontal compass is placed 16 cm due south from a straight vertical wire carrying a 50-A current…

Q: Determine the current I flowing through a solenoid, if the magnetic flux inside its core is found to…

A: We have given: Φ = 2.90 x 10-4 Wb radius of solenoid, r = 20 cm = 0.25 m Number of turns per meter,…

Q: frequency of a wave with a wavelength of 3 cm.

A: Wavelength of wave is λ=3 cm Note: 1 m=100 cm 1 Hz=1 s-1 Find: Frequency of wave and in which region…

Q: The primary winding of an ideal transformer is wound with 550 turns and is connected to a 220V rms…

A: Number of turns in primary Np=550 Voltage in primary coilVp=220 V Voltage in secondary coil Vs=20 V…

Q: 3. A copy machine uses a lens to make an image of a page in the physics textbook to print a copy.…

A: (a). → Using lens formula ⇒ 1f = 1v - 1u → The distance of object is taken as negative and the…

Q: An particle with charge -e is fired into a magnetic field B = 2.0 mT. The velocity of the particle…

A: Given Part-A strength of magnetic field = B = 2.0 mT. speed of electron = v = 7.1 x 106 m/s . angle…

Q: Suppose a motor connected to a 130 V source draws 19.5 A when it first starts. (a) What is its…

A: The emf of the source is ξ=130 V. The current is i=19.5 A The back emf is V=100 V We have to find…

Q: carter traveled 40 km upstream in a boat and then traveled the same distance back. The entire trip…

Q: What is the formula for calculating pressure in a fluid?

A: To write the formula for calculating pressure in a fluid.

Q: A recent study found that electrons that have energies between 3.45 eV and 20.5 eV can cause breaks…

A: Solution: Given: c = speed of light = 3.00 x 108 m/s h = Planck's constant = 6.63 x 10-34 J.s E2 =…

Q: You have a wire of length L-0.9 m for making a square coil of a dc motor. The current in the coil is…

A: Given Data: Length of the loop (L) = 0.9 m.Current in the wire (I) = 1.1 A.Strength of the magnetic…

Q: 2. A firetruck drives in a straight line with velocity shown on the graph below. v(t) vel. [m/s] 9…

A: See below

Q: An underwater scuba diver sees the Sun at an apparent angle of 44.5° above the horizontal. What is…

Q: which the plane of each turn is perpendicular to Earth's magnetic field to one in which the plane of…

Q: In this chapter, it is shown that the energy of a spin system may be written as E = NuB…

A: Given Data: Energy of spin system (E) = NμB tanhμB/kBT.Electron spin (S) = 1/2.g = 2.Magnetic field…

Q: 6. Waves on the ocean have different velocities, depending on their depth. Long wavelength waves,…

Q: self-inductance (in mH) of a 48.0 cm long, 10.0 cm diameter solenoid having 1000 loops.

A: Length of solenoid is l=48 cm Diameter of solenoid is d=10 cm Number of loops is N=1000 Current is…

Q: Two parallel plates are separated by 3 cm. They are connected to a 1200 V power supply. A 20 nC…

Q: I need help with this question: Assume that a stationary electron is a point of charge. What is the…

A: Energy density is u Radial distance is denoted as r

Q: The absolute index of refraction for a substance is 2.0. In this substance what is the critical…

A: Refractive index of the substance, n=2.0 Additional data : Refractive index of air, nair=1

Q: Researchers studying the possible effects of “heading” a soccer ball--hitting it with the head--use…

A: The area under the Force-time graph gives the change in the momentum or impulse.

Q: Two lasers are shining on a double sit, with it separation d. Laser 1 has a wavelength of d/20,…

A: Separation between two slit = d Wavelength of laser 1, λ1=d/20 Wavelength of laser 2, λ2=d/15…

Q: A boxed 14.0 kg computer monitor is dragged by friction 6.50 m up along the moving surface of a…

Q: Use the given acceleration function and initial conditions to find the position function, r(t). a(t)…

Q: A (b) If the wire is heated to 40.0°C while the 7.0-V potential difference is maintained, what is…

Q: Calculate the magnitude of the magnetic field at a point 13.0 cm from a long, thin conductor…

A: Current in the wire is I = 1.25 A

Q: The voltage difference between two neighbouring equipotentials is 250 V and are separated by 0.5 mm.…

A: The voltage difference between two different equipotentials…

Q: Three charges are placed on a horizontal line. Charges q1 = +7 nC and q2 = -3 nC are fixed in place,…

Q: AM radio signals have frequencies between 550 kHz and 1600 kHz (kilohertz) and travel with a speed…

A: Frequencies of AM radio signals as f1=550 kHz and f2=1600 kHz Speed of wave signals is v=3×108 m/s…

Q: If 3.50 ✕ 10−3 kg of gold is deposited on the negative electrode of an electrolytic cell in a period…

A: The mass of the gold is 3.50×10-3 kg. The time taken for the deposition of the gold is 2.59 h. The…

Concept explainers

Dispersion of White Light

Snell’s law is a formula that gives a relation between the angle of incidence and angle of refraction and is given as:

Question

100%

The
nonreflective coating on a camera lens with an index of refraction of 1.31 is designed to minimize the reflection of 620-nm light. If
the lens glass has an index of refraction of 1.56, what is the minimum thickness of the coating that will accomplish this task?
m

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: In this step we have collected the input data and also formulated the question precisely.

VIEW

Step 2: In this step, we have performed the computations and found the answer.

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

Blue light of wavelength 450 nm falls on a slit of width 0.25 mm. A converging lens of focal length 20 cm is placed behind the slit and focuses the diffraction pattern on a screen. (a) How far is the screen from the lens? (b) What is the distance between the first and the third minima of the diffraction pattern?
An amateur astronomer wants to build a telescope with a diffraction limit that will allow him to see if there are people on the moons of Jupiter. (a) What diameter mirror is needed to be able to see 1.00-m detail on a Jovian moon at a distance of 7.50108 km from Earth? The wavelength of light averages 600 nm. (b) What is unreasonable about this result? (c) Which assumptions are unreasonable or inconsistent?
To save money on making military aircraft invisible to radar, an inventor decides to coat them with a nonreflective material having an index of refraction of 1.20, which is between that of air and the surface of the plane. This, he reasons, should be much cheaper than designing Stealth bombers. (a) What thickness should the coating be to inhibit the reflection of 4.00-cm wavelength radar? (b) What is unreasonable about this result? (c) Which assumptions are unreasonable or inconsistent?
The limit to the eye’s acuity is actually related to diffraction by the pupil. (a) What is the angle between two just-resolvable points of light for a 3.00-mm-diameter pupil, assuming an average wavelength of 550 nm? (b) Take your result to be the practical limit for the eye. What is the greatest possible distance a car can be from you if you can resolve its two headlights, given they are 1.30 m apart? (c) What is the distance between two just-resolvable points held at an arm’s length (0.800 m) from your eye? (d) How does your answer to (c) compare to details you normally observe in everyday circumstances?
A Michelson interferometer is used to measure the wavelength of light put through it. When the movable mirror is moved by exactly 0.100 mm, the number of fringes observed moving through is 316. What is the wavelength of the light?
If a microscope can accept light from objects at angles as large as =70 , what is the smallest structure that can be resolved when illuminated with light of wavelength 500 nm and (a) the specimen is in air? (b) When the specimen is immersed in oil, with index of refraction of 1.52?
A beam of 580-nm light passes through two closely spaced glass plates at close to normal incidence as shown in Figure P27.23. For what minimum nonzero value of the plate separation d is the transmitted light bright?
A narrow beam of light containing red (660 nm) and blue (470 nm) wavelengths travels from air through a 1.00-cm-thick flat piece of crown glass and back to air again. The beam strikes at a 30.0incident angle. (a) At what angles do the two colors emerge? (b) By what distance are the red and blue separated when they emerge?
The limit to the eye's acuity is actually related to diffraction by the pupil. (a) What is the angle between two just-resolvable points of light for a 3.00-mm-diameter pupil, assuming an average wavelength of 550 nm? (b) Take your result to be the practical limit for the eye. What is the greatest possible distance a car can be from you if you can resolve its two headlights, given they are 1.30 m apart? (c) What is the distance between two just-resolvable points held at an arm's length (0.800 m) from your eye? (d) How does your answer to (c) compare to details you normally observe in everyday circumstances?
A film of oil on water will appear dark when it is very thin, because the path length difference becomes small compared with the wavelength of light and there is a phase shift at the top surface. If it becomes dark when the path length difference is less than one-fourth the wavelength, what is the thickest the oil can be and appear dark at all visible wavelengths? Oil has an index of refraction of 1.40.
A film of soapy water (n=1.33) on top of a plastic cutting board has a thickness of 233 nm. What color is most strongly reflected if it is illuminated perpendicular to its surface?
A good quality camera “lens” is actually a system of lenses, rather than a single lens, but a side effect is that a reflection from the surface of one lens can bounce around many times within the system, creating artifacts in the photograph. To counteract this problem, one of the lenses in such a system is coated with a thin layer of material (n=1.28) on one side. The index of refraction of the lens glass is 1.68. What is the smallest thickness of the coating that reduces the reflection at 640 nm by destructive interference? (In other words, the coating’s effect is to be optimized for =640 nm .)