Answered: A single slit of width 0.3 mm is…

A single slit of width 0.3 mm is illuminated by a mercury light of wavelength 546 nm. Find the intensity at a 17° angle to the axis in terms of the intensity of the central maximum I 10 X

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter4: Diffraction

Section: Chapter Questions

Problem 93AP: A single slit of width 3.0 m is illuminated by a sodium yellow light of wavelength 589 nm. Find the...

See similar textbooks

Related questions

Q: A conducting rod carrying a total charge of +8.00 μC is bent into a semicircle of radius R = 67.0…

Q: If I add 11664 J of energy to an ideal gas inside a balloon, causing the internal energy to increase…

A: Write the given values with the suitable variables. Q=11664 JΔU=7278 J Here, Q and ΔU are the amount…

Q: Determine the travel time in hours for a vehicle that was displaced 350 km [N] with an average…

A: Given data: Displacement (d) = 350 km, towards North Average velocity (v) = 75.0 km/h, towards…

Q: c) Prove Newton's equations of motion at constant acceleration. That is, show that I. II. III.…

A: Velocity is the rate of change of position with respect to time. Its unit is m/s. The acceleration…

Q: If a single circular loop of wire carries a current of 65 A and produces a magnetic field at its…

A: Given:- If a circular loop of wire carries a current I = 65 A it produces a magnetic field at…

Q: A diffraction grating is 2.30 cm wide and contains 2100 lines. When used with light of a certain…

Q: A survey telescope has a converging lens with a diameter of 25.0 cm. During one exposure of the…

A: lf two distant object is observed through a telescope having lens diameter D and also if that…

Q: An iron wire has a cross-sectional area of 5.20 x 10-6 m². Carry out steps (a) through (e) to…

Q: Estimate the magnification and focal length of the pitcher of water shown in the figure below.…

Q: John has the syestem shown in the diagram. There are 3 insulated wires that carry currents. At what…

Q: The type of energy that relates to the periodic motion of atoms in a molecule relative to one…

A: Given:- The type of energy that relates to the periodic motion of atoms in a molecule relative to…

Q: A 2.5-kg object hanging from a vertical spring of force constant 600 N/m oscillates with an…

Q: A 12.5 micro Coulomb particle with a mass of 2.80 * 10^-5 kg moves perpendicular to a 1.01 T…

A: Solution: Given: q = charge on the particle = 12.5 μC = 12.5 x 10-6 C m = mass of particle = 2.80 x…

Q: A cubic equation of state always has three roots, in which O Above the critical temperature Tc, two…

A: Here, we have to choose the right option regarding the three roots in the cubic equation of state.…

Q: Mantles for gas lanterns contain thorium, because it forms an oxide that can survive being heated to…

Q: In the Marvel comics universe, Quicksilver is awfully fast. Let's say he can run at a velocity of…

Q: batter A solenoid having an inductance of 6.05 µH is connected in series with a 1.17 R2 Pesistor.…

Q: What is the maximum distance from the eye at which two points separated by 3.00 cm could be resolve

Q: At what distance from the central axis of a long straight thin wire carrying a current of 5.0 A is…

A: Write the given values with the suitable variables. I=5 AB=5×10-5 T Here, I is the current and B is…

Q: The coefficient of static friction between a toboggan and dry snow is 0.50. If the toboggan’s mass…

Q: Suppose you have a 9.45 V battery, a 2.45 µF capacitor, and a 7.00 μF capacitor. (a) Find the charge…

Q: A car is traveling at Vx= 20 m/s. The driver applies the brakes, and the car slows with ax =4.0 m/s…

A: Given:A car travelling at the speed of 20m/s. The driver applies the braker, and the car slows with…

Q: A large sheet of charge has a uniform charge density of 20 μC/m². What is the electric field (in…

Q: To raise the temperature of 20 moles of ideal gas by 20 °C at constant pressure we must supply 1000R…

A: Work done on the ideal gas at constant pressure is equal to, W = P×∆V = nR×∆T Where, W = work…

Q: Two conducting wire loops move at constant speed near a very long, straight conducting wire that…

A: We know from lenz law , That current induced in the circuit due to the change in magnetic flux is…

Q: An alternative to CFL bulbs and incandescent bulbs are light-emitting diode (LED) bulbs. A 75 W…

Q: A spacecraft was designed to assess the ability of an impact to deflect the path of an asteroid. The…

A: Solution: Given: Acceleration and speed of rocket is to be computed. Gravity is to be ignored. m =…

Q: the dimensions of an aquarium are found to be 76.70 cm, 114.50 cm, and 104.2 cm. what is the volume…

A: Given data: Dimensions of the aquarium 76.70 cm, 114.50 cm, and 104.2 cm Required: The volume in…

Q: You measure the power delivered by a battery to be 9.16 W when it is connected in series with two…

A: Given: The resistance of the both resistor is same. The power dilivered by the battery is 9.16 W…

Q: b) What is the effect on the period of a pendulum if you decrease its length by 3.80%? (Answer this…

Q: a) Define electromagnetic induction. minimum values of flux that can pass through the loop? b) A…

Q: Question 8 Use the finite difference method to fill in the missing values (shaded) of the table…

Q: Q4. A spring balance is calibrated in an environment in temperatures of 10 °c and 30 °c and have the…

A: load (kg) 0 1 2 3 Deflection (mm)10°c 0 10 20 30…

Q: The gravitational field strength of Venus is 8.9 N/kg. If its radius is 6.05 x 106 m, the mass of…

A: Given data: Strength of gravitational field (g) = 8.9 N/kg Radius (r) = 6.05×106 m Required: The…

Q: s subshell p subshell 1000 d subshell f subshell electrons electrons electrons electrons shell How…

A: We know , for the principle quantum number (n) = any positive integer. For a value of n the angular…

Q: After the switch is closed the current takes 5ms to reach 80% of its max value. What is the…

A: Solution: Given: LR series circuit is given with DC battery for power. We are required to find the…

Q: Consider two wires made of different materials. Wire A has a conductivity of 1.3 × 107 Ω-1m-1, and…

Q: B) A particle localized at point x,. Determine its wave function in space and momentum…

Q: 1-D Harmonic Oscillator Given the ff: Potential Energy: V(x) = //kx² Ground State Wave Function: 40…

Q: A bird flies 3.0 km due west and then 2.0 km due north. What is the magnitude of the bird's…

A: Given data: Displacement (d1) = 3.0 km due West Displacement (d2) = 2.0 km due north Required: The…

Q: a) An interference pattern is observed when two or more waves of light overlap at given point…

A: (a) true Two necessary condition for stable and clear interference pattern are coherent and…

Q: d) An interferometer splits a light beam into two parts and then recombines the parts to form an…

A: (d) True In interferometer setup light incomming from coherent source is is splits in two two…

Q: Two laser beams with wavelengths λ1 = 556 nm and λ2 = 604 nm are aimed at the same point. The…

Q: The current i through a 4.0 H inductor varies with time t as shown by the graph of the figure. The…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: harmonic oscillator Hamiltonian

Q: excited nydrogen atoms need less energy to oxidize than normal ones. It is in the ground condition…

Q: H-W/ Find the expection values of Ly in the state Ilmy

A: First we have to convert Ly in terms of raising and lowering operators then we have to operate this…

Q: John can fly his airplane 2140 miles with a wind speed of 25 mph in the same time he can travel 1940…

Q: Venus-orbiting geosynchronous satellite. Venus rotates every 117 days. How far above Venus's surface…

Q: b) A coin is placed next to the convex side of a thin spherical glass shell having a radius of…

A: GIVEN:- CONVEX MIRROR Radius of curvature = R = 18 cm height of…

Concept explainers

Diffraction of light

In physics, the term diffraction is defined as the bending of light around the corners of the obstacle. As a light ray passes by an aperture, it bends around the edges or through slits, it spreads out through a narrow opening. The diffracted light will produce fringes of bright and dark or colored bands which are labeled as a diffraction pattern.

Question

[7]

A single slit of width 0.3 mm is illuminated by a mercury light of wavelength 546 nm. Find the intensity at a 17° angle to the axis in terms of the intensity of the central maximum.
I
Io
=
X

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

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Diffraction of light$

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

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 65-fringe shift results in a Michelson interferometer when a 42.0-µm film made of an unknown material is placed in one arm. The light source has wavelength 632.9 nm. Identify the material using the indices of refraction found in Table 1.1.
Red light (wavelength 632.8 nm in air) from a Helium-Neon laser is incident on a single slit of width 0.05 mm. The entire apparatus is immersed in water of refractive index 1.333. Determine the angular width of the central peak.
Two slits are separated by 0.320 mm. A beam of 500-nm light strikes the slits, producing an interference pattern. Determine the number of maxima observed in the angular range 30.0 30.0.
Which of the following causes the fringes in a two-slit interference pattern to move farther apart? (a) decreasing the wavelength of the light (b) decreasing the screen distance L (c) decreasing the slit spacing d (d) immersing the entire apparatus in water
A monochromatic light of unknown wavelength is incident on a slit of width 20 m. A diffraction pattern is seen at a screen 2.5 m away where the central maximum is spread over a distance of 10.0 cm. Find the wavelength.
Problems 49 and 50 are paired. C Optical flats are flat pieces of glass used to determine the flatness of other optical components. They are placed at an angle above the component as shown in Figure P36.49A, and monochromatic light is incident and observed from above, leading to interference fringes. Parts B and C of Figure P36.49 show the results of tests on two optical components. Which of the two is more flat? Explain. Figure P36.49 Problems 49 and 50.
Suppose Youngs double-slit experiment is performed in air using red light and then the apparatus is immersed in water. What happens to the interference pattern on the screen? (a) It disappears. (b) The bright and dark fringes stay in the same locations, but the contrast is reduced. (c) The bright fringes are closer together. (d) The bright fringes are farther apart. (e) No change happens in the interference pattern.
Show that the distribution of intensity in a double-slit pattern is given by Equation 36.9. Begin by assuming that the total magnitude of the electric field at point P on the screen in Figure 36.4 is the superposition of two waves, with electric field magnitudes E1=E0sintE2=E0sin(t+) The phase angle in in E2 is due to the extra path length traveled by the lower beam in Figure 36.4. Recall from Equation 33.27 that the intensity of light is proportional to the square of the amplitude of the electric field. In addition, the apparent intensity of the pattern is the time-averaged intensity of the electromagnetic wave. You will need to evaluate the integral of the square of the sine function over one period. Refer to Figure 32.5 for an easy way to perform this evaluation. You will also need the trigonometric identity sinA+sinB=2sin(A+B2)cos(AB2)
Interference fringes are produced using Lloyds mirror and a source S of wavelength = 606 nm as shown in Figure P36.41. Fringes separated by y = 1.20 mm are formed on a screen a distance L = 2.00 m from the source. Find the vertical distance h of the source above the reflecting surface. Figure P36.41
Monochromatic light is incident on a pair of slits that are separated by 0.200 mm. The screen is 2.50 m away from the slits. a. If the distance between the central bright fringe and either of the adjacent bright fringes is 1.67 cm, find the wavelength of the incident light. b. At what angle does the next set of bright fringes appear?
In the What If? section of Example 36.2, it was claimed that overlapping fringes in a two-slit interference pattern for two different wavelengths obey the following relationship even for large values of the angle : mm= (a) Prove this assertion. (b) Using the data in Example 36.2, find the nonzero value of y on the screen at which the fringes from the two wavelengths first coincide.