An object is placed 60 cm in front of a diverging lens that has a 40 - cm focal length. Where will the image be formed? None of the choices are correct. 120 cm behind the lens (1) 24 cm in front of the lens 24 cm behind the lens 120 cm in front of the lens
In a single-slit diffraction experiment, a beam of light of wavelength 488 nm is incident on a slit of width 2.60 μm. What is the angle (in degrees) associated with the third order dark fringe above the central bright fringe? Degrees
No fringes are seen in a single-slit diffraction pattern if the distance to the screen is greater than the slit width. the wavelength is less than the slit width. the wavelength is greater than the slit width. the wavelength is less than the distance to the screen. the screen is far away.
A blue laser is incident on a pair of double slits, creating an interference pattern a distance of 4.0 m away. If you wish to make the spacing of the spots in the pattern closer together, Replace the blue laser with a red laser. Increase the distance between the two slits. Replace the blue laser with a violet laser. Decrease the distance between the two slits
An object is in front of a converging lens, at a distance greater than double the focal length of the lens. Its image is real and smaller than the object. virtual and the same size as the object. real and larger than the object. virtual and larger than the object. virtual and smaller than the object.
Two slits in an opaque barrier have a width of 0.10 mm and are separated by 0.41 mm. When coherent monochromatic light passes though the slits, the number of interference maxima within the central diffraction maximum is 9 11 4 10 8
A diffraction pattern is produced by light on a single slit of width 2.19 mm. The distance from the central maximum and the first dark fringe is y1. A similar diffraction pattern is produced by the same light on a single slit of width 3.87 mm but the distance to the first dark fringe is y2. What is the ratio of the two first order dark fringes, y1/y2? Assume that the angle between the central axis maximum and the first order minimum for both slits is small.
In a double slit experiment, the ratio of slit separaton to the slit width is 2.2 (five bright fringes in the central peak). If the slit separation is increased by a factor of three, keeping the slit width the same, how many fringes will now fit in the central peak? 15 3 13 10
When a single-lens camera is focused on a distant object, the lens-to-film distance is found to be 40.0 mm. To focus on an object 0.540 m in front of the lens, the lens-to-film distance should be 36.8 mm 43.2 mm 40.0 mm 37.2 mm 42.8 mm
It is possible for a dark fringe for two different wavelengths to occur at the same angle. Consider light of wavelength 600. nm and 500. nm. They both have a dark fringe at 2.87mrad. For what minimum slit width is this possible (in mm)?
Assume that two waves of light in air, of wavelength 480. nm, are initially π rad out of phase. One travels through a glass layer of index of refraction n1 = 1.45 and thickness L. The other travels through an equally thick plastic layer of index of refraction n2 = 1.65. What is the smallest value of L so that the waves end up exactly in phase once they pass through the two media? 1.20 × 103 nm 300 nm 480 nm 1.80 × 103 nm 960 nm
Consider a single-slit diffraction pattern caused by a slit of width a. There is a minimum at sin θ equal to slightly more than λ/a exactly λ/a very nearly 2λ/a slightly less than λ/a exactly λ/2a
In a single-slit diffraction experiment, a beam of monochromatic light of wavelength 598 nm is incident on a slit of width of 0.454 mm. If the distance between the slit and the screen is 2.00 m, what is the distance between the central axis and the first dark fringe (in mm)?
The figure below shows the result of a double-slit diffraction experiment with light of wavelength 696 nm. The pattern is closely spaced bright and dark fringes. Only the central portion of the pattern is shown. Except for the missing spots, the bright spots are separated by a distance of y = 1.75 mm. The pattern is observed on a screen that is 3.55 m from the slits. How far apart are the slits (in mm)?
Consider a double-slit diffraction experiment with slits of width 0.00100 mm. Monochromatic light of wavelength 600. nm is used. At what angular distance from the center of the central diffraction peak is the value of the parameter β equal to 13.1 if the slit separation is 0.150 mm? 0.0324 rad 0.0524 rad 0.618 rad 0.0167 rad 0.384 rad
In a double slit experiment, the ratio of slit separation to the slit width is 1.7 (three bright fringes in the central peak). If the slit separation is increased by a factor of four, keeping the slit width the same, how many interference fringes will now fit in the central diffraction peak? 6 13 5 12
In a double-slit diffraction experiment, two slits of width 12.3 × 10-6 m are separated by a distance of 31.7 × 10-6 m, and the wavelength of the incident light is 578 nm. The diffraction pattern is viewed on a screen 4.20 m from the slits. Assume IP is the intensity at a point P, a distance y = 75.6 cm on the screen from the central maximum. Which of the following best describes where the point P is on the double-slit interference pattern? The point P is between the m = 18 maximum and the m = 19 maximum. The point P is between the m = 9 maximum and the m = 10 maximum. The point P is between the m = 10 maximum and the m = 11 maximum.
In a double-slit diffraction experiment, two slits of width 14.2 × 10-6 m are separated by a distance of 28.9 × 10-6 m, and the wavelength of the incident light is 641 nm. The diffraction pattern is viewed on a screen 5.03 m from the slits. Assume IP is the intensity at a point P, a distance y = 55.4 cm on the screen from the central maximum. Which of the following best describes where the point P is on the double-slit interference pattern? The point P is between the m = 8 maximum and the m = 9 maximum. The point P is between the m = 5 maximum and the m = 6 maximum. The point P is between the m = 4 maximum and the m = 5 maximum.
In a double-slit diffraction experiment, two slits of width 13.8 × 10-6 m are separated by a distance of 25.4 × 10-6 m, and the wavelength of the incident light is 692 nm. The diffraction pattern is viewed on a screen 5.32 m from the slits. Assume IP is the intensity at a point P, a distance y = 80.1 cm on the screen from the central maximum. Find the ratio of the intensity at P and the intensity at the center of the diffraction pattern (I0), IP/I0.
If we increase the wavelength of the light used to form a double-slit diffraction pattern, the width of the central diffraction peak increases and the number of bright fringes within the peak increases. the width of the central diffraction peak increases and the number of bright fringes within the peak stays the same. the width of the central diffraction peak increases and the number of bright fringes within the peak decreases. the width of the central diffraction peak decreases and the number of bright fringes within the peak increases. the width of the central diffraction peak decreases and the number of bright fringes within the peak decreases.
A 5.0-ft woman wishes to see a full length image of herself in a plane mirror. The minimum length mirror required is: 2.5 ft 3.54 ft 5.0 ft 10 ft no single answer: the farther away she stands the smaller the required mirror length
The image produced by a convex mirror of an erect object in front of the mirror is always: virtual, erect, and larger than the object virtual, erect, and smaller than the object real, erect, and larger than the object real, erect, and smaller than the object none of the above
If the image distance is negative, the image is real. the image is virtual. the mirror is concave. you have made a mistake; image distances must be positive. the object distance must also be negative.
A concave spherical mirror has a focal length of 12 cm. If an object is placed 6 cm in front of it the image position is: 4 cm behind the mirror 4 cm in front of the mirror 12 cm behind the mirror 12 cm in front of the mirror at infinity
The bellows of an adjustable camera can be extended so that the largest film to lens distance is one and one-half times the focal length. If the focal length is 12 cm, the nearest object which can be sharply focused on the film must be what distance from the lens? 12 cm 24 cm 36 cm 48 cm 72 cm
Reflection by thin layers. In the figure, light is incident perpendicularly on a thin layer of material 2 that lies between (thicker) materials 1 and 3. (The rays are tilted only for clarity.) The waves of rays r1 and r2 interfere, and here we consider the type of interference to be either maximum (max) or minimum (min). The table below provides the indexes of refraction n1, n2, and n3, the type of interference, and the wavelength λ in nanometers of the light as measured in air. Give the third least thickness L. n1 n2 n3 Type L λ Number Units
Reflection by thin layers. In the figure, light is incident perpendicularly on a thin layer of material 2 that lies between (thicker) materials 1 and 3. (The rays are tilted only for clarity.) The waves of rays r1 and r2 interfere, and here we consider the type of interference to be either maximum (max) or minimum (min). The table below provides the indexes of refraction n1, n2, and n3, the type of interference, and the thinlayer thickness L in nanometers. Give the wavelength that is in the visible range. n1 n2 n3 Type L λ 1.37 1.79 1.40 max 354
Does a grating made up of alternately transparent and opaque strip of equal width eliminates all the even orders of maxima (except m = 0)? yes no
The intensity of the single-slit diffraction pattern at any angle θ is given by I(θ) = Im (sinα / α)2. For light of wavelength 480 nm falling on a slit of width 3.5 μm, what is the value of α when θ = 18∘? 0.31 rad 2.3 rad 7.1 rad 7.3 rad 9.8 rad
The radar system of a navy cruiser transmits at a wavelength of 2.5 cm, from a circular antenna with a diameter of 3.9 m. At a range of 6.2 km, what is the smallest distance (m) that two speedboats can be from each other and still be resolved as two separate objects by the radar system? 48.5 60.4 56.7 81.2 55.4 23.6 67.8 33.7 12.9 77.1
Light passing through a 2.30 µm slit produces a central maximum that is 20.0 cm wide (minimum to minimum) on a screen 0.500 m from the slit. What is the wavelength (nm) of the light? 854 451 240 734 512 674 611 910 571 492
Spherical mirrors. Object O stands on the central axis of a spherical mirror. For this situation object distance is ps = +21 centimeters, the type of mirror is convex, and then the distance between the focal point and the mirror is 15 cm (without proper sign). Find (a) the radius of curvature r (including sign), (b) the image distance i, and (c) the lateral magnification m. Also, determine whether the image is (d) real or virtual, (e) inverted from object O or noninverted, and (f) on the same side of the mirror as O or on the opposite side. (a) Number Units (b) Number Units (c) Number Units (d) (e) (f)
A glass cover is placed over a water drop on a glass slide. When this is done, orange light (λ = 605 nm in air) is reflected particularly strongly. What is the minimum possible thickness (nm) of water between the cover and slide? The index of refraction of the glass (cover and slide) is 1.54 and is 1.33 for water. The slide is too thick to be a thin film, just consider the water sandwiched between the cover and slide to be the film. 199 227 398 151 369 114 455 512 302 284
A thin film of thickness 1.5 μm is placed in Michelson interferometer which causes a 7.5 fringe shift in the interference pattern. The film is removed and replaced with another made of the same material which causes a shift of 9.0 fringes. Both shifts are relative to the pattern when no film was inserted. What is the thickness (μm) of the second film? 2.0 2.7 1.1 0.6 1.3 1.5 2.2 2.5 1.8 0.8
Assume that the limits of the visible spectrum are arbitrarily chosen as 430 and 660 nm. Calculate the number of rulings per millimeter of a grating that will spread the first-order spectrum through an angle of 10.0 ∘ . Number Units I/mm
A thin flake of transparent material (n = 1.51) is used to cover one slit of a double-slit interference arrangement. The central point on the screen is now occupied by what had been the 7th bright side fringe (m = 7). If λ = 549 nm, what is the thickness of the flake in meters? Number Units
More mirrors. Object O stands on the central axis of a spherical or plane mirror. For this situation (see the table below, all distances are in centimeters), find (a) the type of mirror, (b) the radius of curvature r (nonzero number or 0 if infinity), (c) the object distance p, (d) the magnification (including sign), whether (e) the image is real or virtual, (f) inverted or noninverted from O, and (g ) on the same side of the mirror as object O or on the opposite side. (a) (b) (c) (d) (e) (f) (g) Type f r p i m RN I/NI Side -27 -14 (a) (b) Number Units (c) Number Units (d) Number Units (e) (f) (g)
A disabled tanker leaks kerosene (n = 1.20) into the Persian Gulf, creating a large slick on top of the water (n = 1.30). (a) If you are looking straight down from an airplane, while the Sun is overhead, at a region of the slick where its thickness is 462 nm, for which wavelength(s) of visible light is the reflection brightest because of constructive interference? (b) If you are scuba diving directly under this same region of the slick, for which wavelength(s) of visible light is the transmitted intensity strongest? (a) Number Units (b) Number Units
(a) What is the angular separation of two stars if their images are barely resolved by a refracting telescope with a lens diameter of 83 cm and a focal length of 13 m. Assume λ = 550 nm. (b) Find the distance between these barely resolved stars if each of them is 13 light-years distant from Earth. (c) For the image of a single star in this telescope, find the diameter of the first dark ring in the diffraction pattern in meters, as measured on a photographic plate placed at the focal plane of the telescope lens. Assume that the structure of the image is associated entirely with diffraction at the lens aperture and not with lens "errors." (a) Number Units (b) Number Units (c) Number Units
Spherical mirrors. Object O stands on the central axis of a spherical mirror. For this situation object distance is ps = +27 centimeters, the type of mirror is convex, and then the distance between the focal point and the mirror is 44 cm (without proper sign). Find (a) the radius of curvature r (including sign), (b) the image distance i, and (c) the lateral magnification m. Also, determine whether the image is (d) real or virtual, (e) inverted from object O or noninverted, and (f) on the same side of the mirror as O or on the opposite side. (a) Number Units (b) Number Units (c) Number Units (d) (e) (f)