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physics
schaums outline of college physics

Questions and Answers of Schaums Outline Of College Physics

A series circuit consisting of an uncharged 2.0-μF capacitor and a 10-MΩ resistor is connected across a 100-V power source. What are the current in the circuit and the charge on the capacitor(a)
A charged capacitor is connected across a 10-kΩ resistor and allowed to discharge. The potential difference across the capacitor drops to 0.37 of its original value after a time of 7.0 s. What is
When a long iron-core solenoid is connected across a 6-V battery, the current rises to 0.63 of its maximum value after a time of 0.75 s. The experiment is then repeated with the iron core removed.
By what fraction does the current in Fig. 34-2 differ from i∞ three time constants after the switch is first closed? 000 (a) ww R i (A) i-E/R 0.63 i 0 L/R Fig. 34-2 (b) 1 (s)
In Fig. 34-2, R = 5.0 Ω, L = 0.40 H, and ε = 20 V. Find the current in the circuit 0.20 s after the switch is first closed. 000 (a) ww R i (A) i-E/R 0.63 i 0 L/R Fig. 34-2 (b) 1 (s)
The capacitor in Fig. 34-1 is initially uncharged when the switch is closed. Find the current in the circuit and the charge on the capacitor five seconds later. Use R = 7.00 MΩ, C = 0.300 μF, and
A sinusoidal, 60.0-Hz, ac voltage is read to be 120 V by an ordinary ac voltmeter. (a) What is the maximum value the voltage takes on during a cycle? (b) What is the equation for the voltage?
A time-varying voltage υ = (60.0 V) sin 120πt is applied across a 20.0-Ω resistor. What will an ac ammeter in series with the resistor read?
A 120-V ac voltage source is connected across a 2.0-μF capacitor. Find the current to the capacitor if the frequency of the source is(a) 60 Hz and (b) 60 kHz. (c) What is the power loss in the
A 120-V ac voltage source is connected across a pure 0.700-H inductor. Find the current through the inductor if the frequency of the source is (a) 60.0 Hz and (b) 60.0 kHz. (c) What is the power
A coil having inductance 0.14 H and resistance of 12 Ω is connected across a 110-V, 25-Hz line. Compute (a) The current in the coil, (b) The phase angle between the current and the supply
A capacitor is in series with a resistance of 30 Ω and is connected to a 220-V ac line. The reactance of the capacitor is 40 Ω. Determine (a) The current in the circuit, (b) The phase angle
A series circuit consisting of a 100-Ω noninductive resistor, a coil with a 0.10-H inductance and negligible resistance, and a 20-μF capacitor is connected across a 110-V, 60-Hz power source.
As shown in Fig. 35-3, a series circuit connected across a 200-V, 60-Hz line consists of a capacitor of capacitive reactance 30 Ω, a noninductive resistor of 44 Ω, and a coil of inductive reactance
A 5.00-Ω resistance is in a series circuit with a 0.200-H pure inductance and a 40.0-nF pure capacitance. The combination is placed across a 30.0-V, 1780-Hz power supply. Find (a) The current in
Calculate the resonant frequency of a circuit of negligible resistance containing an inductance of 40.0 mH and a capacitance of 600 pF.
You are standing in front of a large vertical plane mirror. If you jump 1.00 m toward the mirror, what will happen to your image?
Imagine that you are standing 10.0 m in front of a large vertical plane mirror. If you jump 1.00 m toward the mirror, how far apart will you end up from your image?
Now suppose you are in front of a large vertical plane mirror and running toward it at a constant 5.0 m/s. How fast will you be approaching your image?
If you wish to take a photo of yourself as you stand 3 m in front of a plane mirror, for what distance should you focus the camera you are holding?
Two plane mirrors make an angle of 90° with each other. A point-like luminous object is placed between them. How many images are formed?
Two plane mirrors are parallel to each other and spaced 20 cm apart. A luminous point is placed between them and 5.0 cm from one mirror. Determine the distance from each mirror of the three nearest
Two plane mirrors make an angle of 90° with each other. A beam of light is directed at one of the mirrors, reflects off it and the second mirror, and leaves the mirrors. What is the angle between
A ray of light makes an angle of 25° with the normal to a plane mirror. If the mirror is turned through 6.0°, making the angle of incidence 31°, through what angle is the reflected ray rotated?
A convex spherical mirror has a radius of curvature of magnitude 200 cm. (a) What is the value of R? (b) What is the value of the mirror’s focal length?
A concave spherical mirror has a radius of curvature of magnitude 200 cm. (a) What is the value of R? (b) What is the value of the mirror’s focal length?
An object is very far in front (to the left) of a concave spherical mirror having a focal length of 200 cm. (a) Roughly where will the image appear? (b) Describe the image. (8) (c) Fig. 36-5
Suppose we double the radius of curvature of a concave mirror. (a) Is it now flatter or more tightly curved? (b) What happens to the value of the mirror’s focal length? (c) Is the focal length
A spherical concave mirror has a radius of curvature of -400 cm. An object 2.00 cm tall is on the central axis 400 cm in front of the mirror. (a) Determine the focal length. (b) Locate the
A convex spherical mirror has a focal length of -1.00 m. A small object is 2.00 m in front of the mirror on its central axis. (a) Locate the image. (b) Compute the magnification. (c) Describe the
Describe the image of a candle flame located 40 cm from a concave spherical mirror of radius 64 cm.
Describe the image of an object positioned 20 cm from a concave spherical mirror of radius 60 cm.
How far should an object be from a concave spherical mirror of radius 36 cm to form a real image one-ninth its size?
An object 7.0 cm high is placed 15 cm from a convex spherical mirror of radius 45 cm. Describe its image.
What is the focal length of a convex spherical mirror which produces an image one-sixth the size of an object located 12 cm from the mirror?
It is desired to cast the image of a lamp, magnified 5 times, upon a wall 12 m distant from the lamp. What kind of spherical mirror is required, and what is its position?
Compute the position and diameter of the image of the Moon in a polished sphere of diameter 20 cm. The diameter of the Moon is 3500 km, and its distance from the Earth is 384 000 km, approximately.
The speed of light in water is (3/4)c. What is the effect, on the frequency and wavelength of light, of passing from vacuum (or air, to good approximation) into water? Compute the refractive index of
As is drawn in Fig. 37-4, a ray of light in air strikes a glass plate (n = 1.50) at an incidence angle of 50°. Determine the angles of the reflected and transmitted rays. incident Air Glass 50°
A glass plate is 0.60 cm thick and has a refractive index of 1.55. How long does it take for a pulse of light incident normally to pass through the plate?
The refractive index of diamond is 2.42. What is the critical angle for light passing from diamond to air?
A layer of oil (n = 1.45) floats on water (n = 1.33). A ray of light shines onto the oil with an incidence angle of 40.0°. Find the angle the ray makes in the water. (See Fig. 37-5.) 40° Fig.
What is the critical angle for light passing from glass (n = 1.54) to water (n = 1.33)?
As shown in Fig. 37-6, a small luminous body, at the bottom of a pool of water (n = 4/3) 2.00 m deep, emits rays upward in all directions. A circular area of light is formed at the surface of the
What is the minimum value of the refractive index for a 45.0° prism, which is used to turn a beam of light by total internal reflection through a right angle? (See Fig. 37-7.) В 45.00 45.0° Fig.
The glass prism shown in Fig. 37-8 has an index of refraction of 1.55. Find the angle of deviation D for the case shown. 30° 0. 0₁ Fig. 37-8 D 0₁
A glass plate 4.00 mm thick is viewed from above through a microscope. The microscope must be lowered 2.58 mm as the operator shifts from viewing the top surface to viewing the bottom surface through
As shown in Fig. 37-10, a ray enters the flat end of a long rectangular block of glass that has a refractive index of n2 > 1.414. 0₁ 0₂ 0₂ 0₁ 4 Fig. 37-10 n₂
The speed of light in a certain glass is 1.91 × 108 m /s. What is the refractive index of the glass?
What is the frequency of light, which has a wavelength in air of 546 nm? What is its frequency in water (n = 1.33)? What is its speed in water? What is its wavelength in water?
A beam of light is incident on the flat surface of a block of Fabulite (SrTiO3) that is immersed in air. The incident beam in air is at an angle with respect to the normal of 45.00°. At what angle
A beam of light strikes the surface of water at an incidence angle of 60°. Determine the directions of the reflected and refracted rays. For water, n = 1.33.
A laser beam is incident in air on the surface of a thick flat sheet of glass having an index of refraction of 1.500. The beam within the glass travels at an angle of 35.0° from the normal.
A narrow beam of light is traveling within a large block of sodium chloride (NaCl) that is immersed in air. The beam strikes the flat crystal-air interface making an angle of 25.0° At what angle
A block of lanthanum flint glass is covered by a thick layer of water. A narrow beam of light in the water arrives at the waterglass interface at an angle of 40.0° with respect to the normal. At
A thick layer of olive oil, having an index of refraction of 1.47, is floating on a quantity of pure water. A narrow beam of light in the oil arrives at the oil-water interface at an angle of 50.0°
A thick layer of olive oil, having an index of refraction of 1.47, is floating on a quantity of pure water. A narrow beam of light in the water arrives at the water-oil interface at an angle of
The critical angle for light passing from rock salt into air is 40.5°. Calculate the index of refraction of rock salt.
What is the critical angle when light passes from glass (n = 1.50) into air?
A thick layer of olive oil, having an index of refraction of 1.47, is floating on a quantity of pure water. At what minimum angle must a narrow beam of light in the oil arrive at the oil-water
A block of polystyrene is covered by a thick layer of water. A narrow beam of light in the plastic arrives at the plastic-water interface at the smallest angle such that all the light is reflected
A block of clear ice sits on top of a cube of dense flint glass. A laser beam traveling in the glass reaches the glass-ice interface at an angle of 65.0° with respect to the normal. If the beam has
The absolute indices of refraction of diamond and crown glass are 5/2 and 3/2, respectively. Compute (a) The refractive index of diamond relative to crown glass and (b) The critical angle between
A pool of water (n = 4/3) is 60 cm deep. Find its apparent depth when viewed vertically through air.
In a vessel, a layer of benzene (n = 1.50) 6 cm deep floats on water (n = 1.33) 4 cm deep. Determine the apparent distance of the bottom of the vessel below the upper surface of the benzene when
A mirror is made of plate glass (n = 3/2) 1.0 cm thick and silvered on the back. A man is 50.0 cm from the front face of the mirror. If he looks perpendicularly into it, at what distance behind the
A straight rod is partially immersed in water (n = 1.33). Its submerged portion appears to be inclined 45° with the surface when viewed vertically through air. What is the actual inclination of the
The index of refraction for a certain type of glass is 1.640 for blue light and 1.605 for red light. When a beam of white light (one that contains all colors) enters a plate of this glass at an
An object OO′, 4.0 cm high, is 20 cm in front of a thin convex lens of focal length +12 cm. Determine the position and height of its image II′ (a) By construction and (b) By computation.
An object OO′ is 5.0 cm in front of a thin convex lens of focal length +7.5 cm. Determine the position and magnification of its image II′ (a) By construction and (b) By computation.
An object OO′, 9.0 cm high, is 27 cm in front of a thin concave lens of focal length -18 cm. Determine the position and height of its image II′ (a) By construction and (b) By computation.
As shown in Fig. 37-9, an object is at a depth d beneath the surface of a transparent material of refractive index n. As viewed from a point almost directly above, how deep does the object appear to
If, in Fig. 34-2, R = 20 Ω, L = 0.30 H, and ε = 90 V, what will be the current in the circuit 0.050 s after the switch is closed? L 000 E (a) R i (A)
A coil of inductance 0.20 H and 1.0-Ω resistance is connected to a constant 90-V source. At what rate will the current in the coil grow (a) At the instant the coil is connected to the source,
Compute the magnifying power of a telescope, having objective and eyepiece lenses of focal lengths +60 and +3.0 cm, respectively, when it is focused for parallel rays.
Reflecting telescopes make use of a concave mirror, in place of the objective lens, to bring the distant object into focus. What is the magnifying power of a telescope that has a mirror with 250 cm
As shown in Fig. 39-5, an object is placed 40 cm in front of a converging lens that has f = +8.0 cm. A plane mirror is 30 cm beyond the lens. Find the positions of all images formed by this system.
Two thin lenses having focal lengths of +200 cm and -400 cm are glued together so as to have a common axis. Determine the dioptric power of the combination. Discuss the physics of your answer.
A farsighted person who needs glasses can read without them when holding a text at 74 cm from the eye instead of the more usual 25 cm. What eyeglass prescription does this person need? Discuss your
A farsighted person who needs glasses can read without them when holding a text at 74 cm from the eye instead of the more usual 25 cm. If he or she puts on a pair of glasses having a dioptric power
A nearsighted person cannot see anything beyond 2.2 m very clearly. What eyeglass prescription does this person need? Discuss your answer.
A farsighted person wears eyeglasses that provide a dioptric power of +3.5 D. How far from his or her eyes must a book be held if it is to be read without using these glasses? Discuss your answer.
Redo the previous problem for someone wearing eyeglasses with a dioptric power of +2.0.Previous problemA farsighted person wears eyeglasses that provide a dioptric power of +3.5 D. How far from his
A farsighted woman cannot see objects clearly that are closer to her eye than 60.0 cm. Determine the focal length and power of the spectacle lenses that will enable her to read a book at a distance
A nearsighted man cannot see objects clearly that are beyond 50 cm from his eye. Determine the focal length and power of the glasses that will enable him to see distant objects clearly.
A projection lens is employed to produce 2.4 m × 3.2 m pictures from 3.0 cm × 4.0 cm slides on a screen that is 25 cm from the lens. Compute its focal length.
A camera gives a life-size picture of a flower when the thin lens is 20 cm from the film. What should be the distance between lens and film to photograph a flock of birds high overhead?
What is the maximum stop rating of a camera lens having a focal length of +10 cm and a diameter of 2.0 cm? If the correct exposure at f/6 is (1/90) s, what exposure is needed when the diaphragm
What is the magnifying power of a lens of focal length +2.0 cm when it used as a magnifying glass (or simple microscope)? The lens is held close to the eye, and the virtual image forms at the
When the object distance from a converging lens is 5.0 cm, a real image is formed 20 cm from the lens. What magnification is produced by this lens when it is used as a magnifying glass, the distance
In a compound microscope, the focal lengths of the objective and eyepiece are +0.50 cm and +2.0 cm, respectively. The instrument is focused on an object 0.52 cm from the objective lens. Compute the
A refracting astronomical telescope has a magnifying power of 150 when adjusted for minimum eyestrain. Its eyepiece has a focal length of +1.20 cm. (a) Determine the focal length of the objective
The large telescope at Mt. Palomar has a concave objective mirror diameter of 5.0 m and radius of curvature 46 m. What is the magnifying power of the instrument when it is used with an eyepiece of
An astronomical telescope with an objective lens of focal length +80 cm is focused on the moon. By how much must the eyepiece be moved to focus the telescope on an object 40 meters distant?
A lens combination consists of two lenses with focal lengths of +4.0 cm and +8.0 cm, which are spaced 16 cm apart. Locate and describe the image of an object placed 12 cm in front of the +4.0- cm
Two lenses, of focal lengths +6.0 cm and -10 cm, are spaced 1.5 cm apart. Locate and describe the image of an object 30 cm in front of the +6.0-cm lens.
A telephoto lens consists of a positive lens of focal length +3.5 cm placed 2.0 cm in front of a negative lens of focal length -1.8 cm. (a) Locate the image of a very distant object. (b) Determine
Repeat Problem 39.13 if the distance between the plane mirror and the lens is 8.0 cm.Problem 39.13As shown in Fig. 39-5, an object is placed 40 cm in front of a converging lens that has f = +8.0 cm.
An opera glass has an objective lens of focal length +3.60 cm and a negative eyepiece of focal length -1.20 cm. How far apart must the two lenses be for the viewer to see a distant object at 25.0 cm
Solve Problem 39.13 if the plane mirror is replaced by a concave mirror with a 20 cm radius of curvature.Problem 39.13As shown in Fig. 39-5, an object is placed 40 cm in front of a converging lens

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