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physics
schaums outline of college physics

Questions and Answers of Schaums Outline Of College Physics

The following fusion reaction takes place in the Sun and furnishes much of its energy: → 42 He +2+e +energy 4₁H →
Neutrons produced by fission reactions must be slowed by collisions with moderator nuclei before they are effective in causing further fissions. Suppose an 800-keV neutron loses 40 percent of its
Lithium hydride, LiH, has been proposed as a possible nuclear fuel. The nuclei to be used and the reaction involved are as follows:the listed masses being those of the neutral atoms. Calculate the
A locomotive moving at 30.0 m/s approaches and passes a person standing beside the track. Its whistle is emitting a note of frequency 2.00 kHz. What frequency will the person hear (a) As the train
Two cars are heading straight at each other with the same speed. The horn of one (f = 3.0 kHz) is blowing, and is heard to have a frequency of 3.4 kHz by the people in the other car. Find the speed
To determine the speed of a harmonic oscillator, a beam of sound is sent along the line of the oscillator’s motion. The sound, which is emitted at a frequency of 8000.0 Hz, is reflected straight
In Fig. 23-1 are shown two identical sound sources sending waves to point P. They send out wave crests simultaneously (they are inphase), and the wavelength of the wave is 60 cm. If L2 = 200 cm, give
Imagine two separated tiny interacting uniformly charged spheres. What happens to the electrostatic force on each of them if the charge on both is doubled and their separation is also doubled?
What is the electrostatic force acting on each of two tiny uniformly charged spheres in vacuum if they both carry 1.00 C of charge and they are separated, center to center, by 1.00 m?
What should be the separation in vacuum between two tiny spheres uniformly carrying charges of 10.0 nC and 20.0 nC if the force they exert on each other is to be 10.0 N?
Compute the force on each of two electrons when they are separated in vacuum by a distance corresponding to the approximate size of an atom (0.100 nm).
Determine the force that would exist between two uranium nuclei separated in vacuum by the approximate size of an atom (0.100 nm).
Two very small charges, each of –100 μC, are separated by 1.00 mm in ethanol at 25 °C. Determine the forces acting on each charge.
How many electrons are contained in 1.0 C of charge? What is the mass of the electrons in 1.0 C of charge?
If two equal point charges, each of 1 C, were separated in air by a distance of 1 km, what would be the force between them?
Determine the force between two free electrons spaced 1.0 angstrom (10−10 m) apart in vacuum.
What is the force of repulsion between two argon nuclei that are separated in vacuum by 1.0 nm (10−9 m)? The charge on an argon nucleus is +18e.
Two equally charged small balls are 3 cm apart in air and repel each other with a force of 40 μN. Compute the charge on each ball.
Three point charges are placed at the following locations on the xaxis: +2.0 μC at x = 0, −3.0 μC at x = 40 cm, −5.0 μC at x = 120 cm. Find the force (a) On the −3.0 μC charge, (b) On the
Four equal point charges of +3.0 μC are placed in air at the four corners of a square that is 40 cm on a side. Find the force on any one of the charges.
Four equal-magnitude point charges (3.0 μC) are placed in air at the corners of a square that is 40 cm on a side. Two, diagonally opposite each other, are positive, and the other two are negative.
Charges of +2.0, +3.0, and −8.0 μC are placed in air at the vertices of an equilateral triangle of side 10 cm. Calculate the magnitude of the force acting on the −8.0 μC charge due to the other
One charge of (+5.0 μC) is placed in air at exactly x = 0, and a second charge (+7.0 μC) at x = 100 cm. Where can a third be placed so as to experience zero net force due to the other two?
Two identical tiny metal balls carry charges of +3 nC and −12 nC. They are 3 m apart in vacuum. (a) Compute the force of attraction. (b) The balls are now touched together and then separated to 3
A charge of +6.0 μC experiences a force of 2.0 mN in the +xdirection at a certain point in space. (a) What was the electric field at that point before the charge was placed there? (b) Describe the
A point charge of −3.0 × 10−5 C is placed at the origin of coordinates in vacuum. Find the electric field at the point x = 5.0 m on the x-axis.
Determine the magnitude of the electric field in vacuum at a distance of 1.00 mm from a proton.
(a) What is the absolute potential at each of the following distances from a charge of +2.0 μC in air: r = 10 cm and r = 50 cm? (b) How much work is required to carry a 0.05-μC charge from the
In Fig. 25-3, which depicts two closely spaced charged parallel plates in vacuum, let E = 2.0 kV/m and d = 5.0 mm. A proton is shot from plate-B toward plate-A with an initial speed of 100 km/s. What
Suppose [in Problem 25.5(a) where there is a +2.0 μC charge] that a proton is released at r = 10 cm. How fast will it be moving as it passes a point at r = 50 cm?Problem 25.5(a)(a) What is the
The nucleus of a tin atom in vacuum has a charge of +50e. (a) Find the absolute potential V at a radial distance of 1.0 × 10−12 m from the nucleus. (b) If a proton is released from this point,
The following point charges are placed on the x-axis in air: +2.0 μC at x = 20 cm, −3.0 μC at x = 30 cm, −4.0 μC at x = 40 cm. Find the absolute potential on the axis at x = 0.
Two point charges, +q and −q, are separated by a distance d in air. Where, besides at infinity, is the absolute potential zero?
In Fig. 25-4, the medium is vacuum. Charge at A is +200 pC, while the charge at B is −100 pC. (a) Find the absolute potentials at points-C and -D. (b) How much work must be done to transfer a
Four point charges in air are placed at the four corners of a square that is 30 cm on each side. Find the potential at the center of the square if (a) The four charges are each +2.0 μC and (b) Two
Find the electrical potential energy of three point charges placed in vacuum as follows on the x-axis: +2.0 μC at x = 0, +3.0 μC at x = 20 cm, and +6.0 μC at x = 50 cm. Take the PEE to be zero
Two protons are held at rest in vacuum, 5.0 × 10−12 m apart. When released, they fly apart. How fast will each be moving when they are far from each other?
Figure 25-5 depicts two large, closely spaced metal plates connected to a 120-V battery. Assume the plates to be in vacuum and to be much larger than shown. Find (a) E between the plates, (b) The
An electron gun shoots electrons (q = −e, me = 9.1 × 10−31 kg) at a metal plate that is 4.0 mm away in vacuum. The plate is 5.0 V lower in potential than the gun. How fast must the electrons be
A 1.2-μF capacitor is charged to 3.0 kV. Compute the energy stored in the capacitor.
The series combination of two capacitors shown in Fig. 25-7 is connected across 1000 V. Compute (a) The equivalent capacitance Ceq of the combination, (b) The magnitudes of the charges on the
The flux through a current-carrying toroidal coil changes from 0.65 mWb to 0.91 mWb when the air core is replaced by another material. What are the relative permeability and the permeability of the
The quarter-circle loop shown in Fig. 32-1 has an area of 15 cm2. A constant magnetic field, B = 0.16 T, pointing in the +x-direction, fills the space independent of the loop. Find the flux through
A hemispherical surface of radius R is placed in a uniform magnetic field as shown in Fig. 32-2. What is the magnetic flux throughthe hemispherical surface? B
The cylindrical permanent magnet in the center of Fig. 32-3 induces an emf in the coils as the magnet moves toward the right or the left. Find the directions of the induced currents through both
A 50-loop circular coil has a radius of 3.0 cm. It is oriented so that the field lines of a magnetic field are normal to the area of the coil. Suppose that the magnetic field is varied so that B
In Fig. 32-4(a) there is a uniform magnetic field in the +xdirection, with a value of B = 0.20 T. The circular loop of wire is in the yz-plane. The loop has an area of 5.0 cm2 and rotates about line
A coil having 50 turns of wire is removed in 0.020 s from between the poles of a magnet, where its area intercepted a flux of 3.1 × 10-4 Wb, to a place where the intercepted flux is 0.10 × 10-4.
As shown in Fig. 32-5, a metal rod makes contact with two parallel wires and completes the circuit. The circuit is perpendicular to a magnetic field with B = 0.15 T. If the resistance is 3.0 Ω, how
A horizontal circular flat coil having three turns and an area of 2.4 m2 is illustrated in Fig. 32-6. It is in a uniform vertical increasing magnetic field that goes from 1.0 T to 2.4 T in 20
A copper bar 30 cm long is perpendicular to a uniform magnetic field of 0.80 Wb/m2 and moves at right angles to the field with a speed of 0.50 m/s. Determine the emf induced in the bar.
The metal bar of length L, mass m, and resistance R depicted in Fig. 32-7(a) slides without friction on a rectangular circuit composed of resistanceless wire resting on an inclined plane. There is a
The rod shown in Fig. 32-8 rotates about point-C as pivot with a constant frequency of 5.0 rev/s. Find the potential difference between its two ends, which are 80 cm apart, due to the magnetic field
Figure 32-9(a) depicts a two-turn horizontal coil in a uniform downward B-field. Assume the field is increasing. (a) What is the direction of the induced magnetic field in the coil and why? (b)
Figure 32-9(b) depicts a two-turn horizontal coil in a uniform upward B-field. Assume the field is increasing. (a) What is the direction of the induced magnetic field in the coil and why? (b) What
A 5.0-Ω coil, of 100 turns and diameter 6.0 cm, is placed between the poles of a magnet so that the magnetic flux is maximum through the coil’s cross-sectional area. When the coil is suddenly
Figure 32-9(a) depicts a two-turn horizontal coil in a uniform downward b-field. Assume the field is decreasing. (a) What is the direction of the induced magnetic field in the coil and why? (b)
Figure 32-9(b) depicts a two-turn horizontal coil in a uniform upward B-field. Assume the field is decreasing. (a) What is the direction of the induced magnetic field in the coil and why? (b) What
Imagine a 100-turn flat coil much like that in Fig. 32-9(a). It is in a uniform downward B-field that is decreasing uniformly at a rate of 0.020 T every second. The area of the coil is 0.25 m2. (a)
Imagine a 200-turn flat coil much like that in Fig. 32-9(b). It is in a uniform upward b-field that is increasing uniformly at a rate of 0.240 T every 12.0 s. The area of the coil is 0.20 m2. (a)
In Fig. 32-10 there is a +x-directed uniform magnetic field of 0.2 T filling the space. Find the magnetic flux through each face of the box shown. 9 cm 10 cm 60° 30° 10 cm 4 cm X
A flux of 9.0 × 10-4 Wb is produced in the iron core of a solenoid. When the core is removed, a flux (in air) of 5.0 × 10-7 Wb is produced in the same solenoid by the same current. What is the
A solenoid 60 cm long has 5000 turns of wire and is wound on an iron rod having a 0.75 cm radius. Find the flux inside the solenoid when the current through the wire is 3.0 A. The relative
A room has its walls aligned accurately with respect to north, south, east, and west. The north wall has an area of 15 m2, the east wall has an area of 12 m2, and the floor’s area is 35 m2. At the
An alpha particle (q = 2e, m = 6.7 × 10−27 kg) falls in vacuum from rest through a potential drop of 3.0 × 106 V (i.e., 3.0 MV). (a) What is its KE in electron volts? (b) What is its speed?
What is the speed of a 400 eV (a) Electron, (b) Proton, and (c) Alpha particle?
A parallel-plate capacitor has a capacitance of 8.0 μF with air between its plates. Determine its capacitance when a dielectric with dielectric constant 6.0 is placed between its plates.
What is the charge on a 300-pF capacitor when it is charged to a voltage of 1.0 kV?
A metal sphere mounted on an insulating rod carries a charge of 6.0 nC when its potential is 200 V higher than its surroundings. What is the capacitance of the capacitor formed by the sphere and its
The parallel capacitor combination shown in Fig. 25-8 is connected across a 120-V source. Determine the equivalent capacitance Ceq, the charge on each capacitor, and the charge on the combination.
Examine the circuit drawn in Fig. 25-9(a). Determine the equivalent capacitance (a) Between terminals A and B (b) Between terminals B and C.
For the circuit pictured in Fig. 25-10(a) find the equivalent capacitance between terminals A and B. 3.0pF 3.0 pF A 2.0pF (a) C₂ 北 2.0 pF 부 3.0 pF 北 B S 2.0 pF : 3.0 pF Fig. 25-10
A laboratory capacitor consists of two parallel conducting plates, each with area 200 cm2, separated by a 0.40-cm air gap. (a) Compute its capacitance. (b) If the capacitor is connected across a
Two capacitors, 3.0 μF and 4.0 μF, are individually charged across a 6.0-V battery. After being disconnected from the battery, they are connected together with a negative plate of one attached to
What happens to the electric potential at a point in space due to a point charge if that charge is doubled?
What happens to the electric potential at a point in space due to a point charge if that charge is doubled and the distance is doubled?
What happens to the electric potential at a point in space due to a point charge if the charge is subsequently surrounded by some kind of oil?
Determine the electric potential 1.00 cm from an electron in vacuum.
Imagine a +40.0-nC point charge in vacuum. What is the value of the electric potential 112 cm away?
A small metal sphere carrying a charge of 50.0 μC is immersed in a bath of ethanol at 25 °C. Determine the electric potential 100.0 cm away. What would the potential be if the sphere were instead
Imagine a charge in an evacuated chamber. What is the ratio of the potential at some distant point in the chamber, before and after the chamber is filled with cool water at 20 °C?
Two metal plates are attached to the two terminals of a 1.50 V battery. How much work is required to carry a + 5.0-μC charge across the gap (a) From the negative to the positive plate, (b) From
The plates described in Problem 25.36 are in vacuum. An electron (q = −e, me = 9.1 × 10−31 kg) is released at the negative plate and falls freely to the positive plate. How fast is it going just
A proton (q = e, mp = 1.67 × 10−27 kg) is accelerated from rest through a potential difference of 1.0 MV. What is its final speed?
An electron is moving in the +x-direction with a speed of 5.0 × 106 m/s. There is an electric field of 3.0 kV/m in the +x-direction. What will be the electron’s speed after it has moved 1.00 cm
An electron has a speed of 6.0 × 105 m/s as it passes point-A on its way to point-B. Its speed at B is 12 × 105 m/s. What is the potential difference between A and B, and which is at the higher
A capacitor with air between its plates has capacitance 3.0 μF. What is its capacitance when wax of dielectric constant 2.8 is placed between the plates?
Determine the charge on each plate of a 0.050-μF parallel plate capacitor when the potential difference between the plates is 200 V.
A capacitor is charged with 9.6 nC and has a 120 V potential difference between its terminals. Compute its capacitance and the energy stored in it.
Compute the energy stored in a 60-pF capacitor (a) When it is charged to a potential difference of 2.0 kV and (b) When the charge on each plate is 30 nC.
Three capacitors, each of capacitance 120 pF, are each charged to 0.50 kV and then connected in series. Determine (a) The potential difference between the end plates, (b) The charge on each
Three capacitors (2.00 μF, 5.00 μF, and 7.00 μF) are connected in series. What is their equivalent capacitance?
Three capacitors (2.00 μF, 5.00 μF, and 7.00 μF) are connected in parallel. What is their equivalent capacitance?
Two capacitors (0.30 and 0.50 μF) are connected in parallel. (a) What is their equivalent capacitance? A charge of 200 μC is now placed on the parallel combination. (b) What is the potential
A 2.0-μF capacitor is charged to 50 V and then connected in parallel (positive plate to positive plate) with a 4.0-μF capacitor charged to 100 V. (a) What are the final charges on the
Repeat Problem 25.58 if the positive plate of one capacitor is connected to the negative plate of the other.Problem 25.58A 2.0-μF capacitor is charged to 50 V and then connected in parallel
Referring to Fig. 25-2, if the capacitance of each capacitor is 20.0 nF, what is the equivalent capacitance between terminals B and C? Are any capacitors removable?
(a) Calculate the capacitance of a capacitor consisting of two parallel plates separated by a layer of paraffin wax 0.50 cm thick, the area of each plate being 80 cm2. The dielectric constant for the
Referring to Fig. 25-2, if the capacitance of each capacitor is 20.0 nF, what is the equivalent capacitance between terminals B and A? Are any capacitors removable?
Referring to Fig. 25-2, if the capacitance of each capacitor is 20.0 nF, what is the equivalent capacitance between terminals C and D? Are any capacitors removable? Which capacitors are in series?

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