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1、模拟练习题一1. The wave function of a particle is , where x is distance, t is time, and k and w are positive real numbers. The x-component of the momentum of the particle is(A) 0(B)(C)(D)(E)2. The longest wavelength x-ray that can undergo Bragg diffraction in a crystal for a given family of planes of spac
2、ing d is(A)(B)(C) d(D) 2 d(E) 4 d3. The ratio of energies of the K characteristic x-rays of carbon (Z = 6) to those of magnesium (Z = 19) is most nearly(A)(B)(C) 1(D) 2(E) 4Questions 4-5The magnitude of the Earths gravitational force on a point mass is F(r), where r is the distance from the Earths c
3、enter to the point mass. Assure the Earth is homogeneous sphere of radius R.4. What is (A) 32(B) 8(C) 4(D) 2(E) 15. Suppose there is a very small shaft in the Earth such that the point mass can be placed at a radius of R/2. What is (A) 8(B) 4(C) 2(D)(E)6. Two wedges, each of mass m, are placed next
4、to each other on a flat floor. A cube of mass M is balanced on the wedges as shown above. Assume on friction between the cube and the wedges, but a coefficient of static friction m 1 between the wedges and the floor. What is the largest M that can be balanced as shown without motion of the wedges?(A
5、)(B)(C)(D)(E) All M will balance.7. A cylindrical tube of mass M can slide on a horizontal wire. Two identical pendulums, each of mass m and length l, hang from the ends of the tube, as shown above. For small oscillations of the pendulums in the plane of the paper, the eigenfrequencies of the normal
6、 modes of oscillation of this system are 0, , and(A)(B)(C)(D)(E)8. A solid cone hangs from a frictionless pivot at the origin O, as shown above. If , , are unit vectors, and a, b, and c are positive constants, which of the following forces F applied to the rim of the cone at a point P results in a t
7、orque t on the cone with a negative component tz?(A) , P is (0, b, -c)(B) , P is (0, -b, -c)(C) , P is (-b, 0, -c)(D) , P is (b, 0, -c)(E) , P is (-b, 0, -c)9. A coaxial cable having radii a, b and c carries equal and opposite currents of magnitude i on the inner and outer conductors. What is the ma
8、gnitude of the magnetic induction at point P outside of the cable at distance r from the axis?(A) Zero(B)(C)(D)(E)10. Two positive charges of q and 2q coulombs are located on the x-axis at x = 0.5a and 1.5a, respectively, as shown above. There is an infinite, grounded conducting plane at x = 0. What
9、 is the magnitude of the net force on the charge q?(A)(B)(C)(D)(E)11. The capacitor in the circuit shown above is initially charged. After closing the switch, how much time elapses until one-half of the capacitors initial stored energy is dissipated?(A) RC(B)(C)(D) 2RC ln(2)(E)12. Two large conducti
10、ng planes from a wedge of angle a as shown in the diagram above. The plates are insulated from each other; one has a potential V0 and the other is grounded. Assuming that the plates are large enough so that the potential difference between them is independent of the cylindrical coordinates z and r,
11、the potential anywhere between the plates as a function of the angle is(A)(B)(C)(D)(E)13. Listed below are Maxwells equations of electromagnetism. If magnetic monopoles exist, which of those equations would be INCORRECT?I. Curl H = J + II. Curl E = III. div D = IV. div B = 0(A) IV only(B) I and II(C
12、) I and III(D) II and IV(E) III and IV14. The total energy of a blackbody radiation source is collected for one minute and used to heat water. The temperature of the water increases from 20.0C to 20.5C. If the absolute temperature of the blackbody were doubled and the experiment repeated, which of t
13、he following statements would be most nearly correct?(A) The temperature of the water would increase form 20C to a final temperature of 21C.(B) The temperature of the water would increase form 20C to a final temperature of 24C.(C) The temperature of the water would increase form 20C to a final tempe
14、rature of 28C.(D) The temperature of the water would increase form 20C to a final temperature of 36C.(E) The water would boil within the one-minute period.15. A classical model of a diatomic molecule is a springy dumbbell, as shown above, where the dumbbell is free to rotate about axes perpendicular
15、 to the spring. In the limit of high temperature, what is the specific heat per mole at constant volume?(A)(B)(C)(D)(E)16. An engine absorbs heat at a temperature of 727 and exhausts heat at a temperature of 527. If the engine operates at maximum possible efficiency, for 2000 joules of heat input the amount of work the engine performs is most nearly(A) 400 J(B) 1450 J(C) 1600 J(D) 2000 J(E) 2760 J17. The outputs of two electrical oscillators are compared on an oscilloscope screen. The oscilloscope spot is initially
