Answered: How does the diffraction limit impact…

Science

Physics

How does the diffraction limit impact the resolution of optical microscopes

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter4: Diffraction

Section: Chapter Questions

Problem 71P: A camera uses a lens with aperture 2.0 cm. What is the angular resolution of a photograph taken at...

See similar textbooks

Related questions

Q: A porous material three different pore radii: 5 nm, 10 nm, and 50 nm. 10% of the pores are 5nm, 40%…

A: An adsorption isotherm is a graph that represents the relationship between the amount of gas…

Q: A car is parked on a cliff overlooking the ocean on an incline that makes an angle of 25.0° below…

Q: 1. Draw the magnetic field lines between these two magnets. Will these two magnets repel or attract…

Q: A bullet is fired through a board 13.0 cm thick in such a way that the bullet's line of motion is…

A: Initial speed of the bullet u= 450 m/sFinal speed of the bullet v= 350 m/sThickness of board d= 13.0…

Q: ▾ Part A What is the angular momentum of a figure skater spinning at 2.6 rev/s with arms in close to…

A: Use formula to calculate the required quantity.

Q: Two cylinders each contain 0.25 mol of a diatomic gas of 330 K and a pressure of 3.0 atm. Cylinder A…

A: Number of mol Initial temperature Initial pressure Final pressure

Q: Bats emit ultrasonic waves with a frequency as high as 1.70 × 105 Hz. What is the wavelength of an…

A: Frequency, f = 1.70 × 105 HzTemperature, T = 10.9° C = 10.9 + 273.15 = 284.05 KWavelength, λ = ?

Q: A breeder wants to fence off his four-sided plot of flat land, as shown in the figure. He measures…

Q: A large airplane typically has three sets of wheels: one at the front and two farther back, one on…

Q: Suppose you walk 14.5 m in a direction exactly 19° south of west then you walk 22 m in a direction…

A: The walking distance along 19 degrees south of west is The walking distance along 39 degrees west of…

Q: The fundamental frequency of an organ pipe, closed at one end, is 251.3 Hz What is the…

A: Fundamental frequency is given as Speed of sound is Initial temperature (Room Temperature) Final…

Q: lizard of mass 7.90 g is warming itself in the bright sunlight. It casts a shadow of 1.60 cm2 on a…

A: Mass of lizard m = 7.90x10-3 kgArea A = 1.60 cm2 =1.60x10-4 m2Intensity of sunlight I = 1.40 × 103…

Q: Using figure 4.3 calculate the voltage drop across Load 2, given the following values: (Answer in…

A: Current in load 1 (I1) = 42 A Current in load 2 (I2,) = 42 A Current in load 3 (I3,) = 42 A R1 =…

Q: consider the heat transfer processses going on in an apartment being kept at 19.0 degrees celsius,…

A: let's look at the different heat transfer processes occurring in an apartment kept at 19.0 degrees…

Q: Two charges, +9 μC and +13 μC, are fixed 1 m apart, with the second one to the right. Find the…

Q: The velocity potential for a certain inviscid flow field is = -(10x²y - y³) where has the units of…

Q: Consider a FLAT coil with 500 turns and radius 1.5cm. Now spin the coil in the earth’s magnetic…

A: Number of turns, n = 500Radius, r = 1.5 cm = 0.015 mFrequency, f = 5 s-1 Magnetic field, B = 4×10-5…

Q: The A-36 steel wire AB has a cross-sectional area of 11 mm² and is unstretched when 0 = 45.0°…

Q: 016. Figure 7 shows two concentric non-conducting spherical shells of radii r = 12.0 cm and r2 =…

Q: the course of pumping up a bicycle tire, a liter of air at atmospheric pressure is compressed…

A: Initial volume v1= 1liter Initial pressure p1 = 1 atm Final pressure p2= 7 atm Initial temperature…

Q: An insulated beaker with negligible mass contains liquid water with a mass of 0.245 kg and a…

Q: The radioactive isotope 241Am, with a half-life of 432years, is the active element in many smoke…

Q: In the reality television show "Amazing Race," a contestant is firing 12 kg watermelons from a…

A: Given: Mass of watermelon, m = 12 kg stretched length, x = 1.8 m vertical distance, y = 0.3 m…

Q: Describe the significance of the photoelectric effect in understanding light's quantum nature.

A: The photoelectric effect is a phenomenon where light, usually in the form of photons, strikes the…

Q: velocity graph.

Q: A completely smooth table has a circular end with radius R=40.0 cm. The height of the table is h=…

Q: figure below shows a box-shaped closed surface with one of its edges lying on the x-axis, and its…

Q: Find the transient motion and the steady state solution of a damped mass- spring oscillator system…

Q: B) A machine of mass 20kg is mounted on four springs, one at each corner, and can be regarded as a…

A: Machine mass = 20 kgSprings deflects = 0.1mmForce applied = 2.5N

Q: The half life for the decay of carbon-14 is 5.73*10^3 years. Suppose the activity due to the…

Q: consider the doubly-magic nuclei of 40Ca and 56 Ni. the collective nuclear states can be expanded as…

A: Doubly-magic nuclei like 40Ca and 56Ni have a special arrangement of protons and neutrons in their…

Q: (See Fluids in the News article titled "Walking on water") (a) The water strider bug shown in the…

Q: A very long, thin strip of metal of width w carries a current I along its length as shown in the…

Q: Wire gauge is a measure of the the cross-sectional area of a wire. A 14 gauge speaker wire made of…

Q: The Roman cubitus is an ancient unit of measure equivalent to about 0.445 m. Convert the 1.91-m…

Q: The half-life for the decay of carbon-14 is 5.73*10^3 years. Suppose the activity due to the…

Q: A sound wave, generated at a frequency of 440 hertz has a wavelength of 2.3 meters as it travels…

A: Frequency of wave =(f) = 40 Hz Wavelength of wave( λ )= 2.3m

Q: A road journey takes 5 h 30 min at 90.0 km/h. How much time would be saved by traveling at 1”0 on/h…

A: Dear student,Since both questions are different as per guidelines I can author only firstone. Please…

Q: Suppose you walk 14.5 m in a direction exactly 19° south of west then you walk 22 m in a direction…

Q: t. These two charges are free to move but do because there is a third (fixed) charge nearby. What…

Q: A 205 g mass attached to a horizontal spring oscillates at a frequency of 4.00 Hz. At t = 0 s, the…

Q: . This full scale diagram shows a series of wave crests. Successive crests pass a given point in 0.5…

Q: Instructions for this Discussion The graph below represents the velocity of a bee along a straight…

A: The graph below represents the velocity of a bee along a straight line. at t=0, the bee is at the…

Q: 17. If our atmosphere had a uniform density of 1.25 kg/m³ all the way up to a border with empty…

Q: Find the location of the final image b

Q: (b) Two convex lenses with focal length f₁ = 10 cm and f2 = 20 cm are positioned d = 50 cm apart, as…

Q: Water is poured into a container that has a leak. The mass m of the water is given as a function of…

A: The mass of water is given function of time

Q: During an process, you can be certain that no work is done on or by an enclosed system of ideal gas.…

A: Folowing system:Isovolumetric (Constant volume)Isobaric (Constant pressure)Isothermal (Constant…

Q: Akiko rides her bike toward a brick wall with a speed of 7.00 m/s while blowing a whistle that is…

Q: A sphere of radius R₁ = 0.320 m and uniform charge density 37.5 μC/m lies at the center of a…

Concept explainers

Interference of Light

The word "constructive" signifies addition in interference. Constructive interference occurs when the path of the waves that start from the slit differs by 1 entire wavelength or in the intervals of the same. Hence, the waves that are presented on the screen are in phase (crest to crest/trough to trough). The waves interfering constructively forms bright fringes on the screen.

Question

How does the diffraction limit impact the resolution of optical microscopes?

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1: Given

VIEW

Step 2: Resolution

VIEW

Solution

VIEW

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

Crystal lattices can be examined with X-rays but not UV. Why?
On a certain crystal, a first-order X-ray diffraction maximum is observed at an angle of 27.1° relative to its surface, using an X-ray source of unknown wavelength. Additionally, when illuminated with a different, this time of known wavelength 0.137 nm, a second-order maximum is detected at 37.3°. Determine (a) the spacing between the reflecting planes, and (b) the unknown wavelength.
A camera uses a lens with aperture 2.0 cm. What is the angular resolution of a photograph taken at 700 nm wavelength? Can it resolve the millimeter markings of a ruler placed 35 m away?
The structure of the NaCl crystal forms reflecting planes 0.541 nm apart. What is the smallest angle, measured from these planes, at which X-ray diffraction can be observed, if X-rays of wavelength 0.085 nm are used?
As a single crystal is rotated in an x-ray spectrometer (Fig. 3.22a), many parallel planes of atoms besides AA and BB produce strong diffracted beams. Two such planes are shown in Figure P3.38. (a) Determine geometrically the interplanar spacings d1 and d2 in terms of d0. (b) Find the angles (with respect to the surface plane AA) of the n = 1, 2, and 3 intensity maxima from planes with spacing d1. Let = 0.626 and d0 = 4.00 . Note that a given crystal structure (for example, cubic) has interplanar spacings with characteristic ratios, which produce characteristic diffraction patterns. In this way, measurement of the angular position of diffracted x-rays may be used to infer the crystal structure. Figure P3.38 Atomic planes in a cubic lattice.
Is higher resolution obtained in a microscope with red or blue light? Explain your answer.
Two slits each of width 1800 nm and separated by the center-to-center distance of 1200 nm are illuminated by plane waves from a krypton ion laser-emitting at wavelength 461.9 nm. Find the number of interference peaks in the central diffraction peak.
A source of light having two wavelengths 550 nm and 600 nm of equal intensity is incident on a slit of width 1.8 m. Find the separation of the m=1 bright spots of the two wavelengths on a screen 30.0 cm away.
A light ray of wavelength 461.9 nm emerges from a 2-mm circular aperture of a krypton ion laser. Due to diffraction, the beam expands as it moves out. How large is the central bright spot at (a) 1 m, (b) 1 km, (c) 1000 km, and (d) at the surface of the moon at a distance of 400,000 km from Earth.
In a thermally stabilized lab, a Michelson interferometer is used to monitor the temperature to ensure it stays constant. The movable mirror is mounted on the end of a 1.00-m-long aluminum rod, held fixed at the other end. The light source is a He Ne laser, =632.8 nm . The resolution of this apparatus corresponds to the temperature difference when a change of just one fringe is observed. What is this temperature difference?
How far apart must two objects be on the moon to be distinguishable by eye if only the diffraction effects of the eye’s pupil limit the resolution? Assume 550 nm for the wavelength of light, the pupil diameter 5.0 mm, and 400,000 km for the distance to the moon.
X-rays of wavelength 0.103 nm reflects off a crystal and a second-order maximum is recorded at a Bragg angle of 25.5°. What is the spacing between the scattering planes in this crystal?