12. A non-conducting sphere of radius R has a total charge Q spread uniformly throughout its volume. What is the potential energy U of the sphere?k = Coulomb-law constant)
(A) kQ²/R；
(B)kQ²/2R；
(C) 3kQ^2/2R；
(D) 3kQ²/4R；
(E) 3kQ²/5R.

13. When a ductile metal wire is stretched to N times its original length (without changing its density and resistivity), the resistance R will change by a factor of (A) 1/N2； (B) 1/N； (C) N； (D) N2； (E) None.

14. Which phenomenon can be analyzed by the mathematical tool of "phasor"? (A) ac circuits； (B) Interference of multiple slits； (C) Diffraction of a single slit； (D) All； (E) None.

15. A capacitor of capacitance Ci is charged to a potential difference V. The terminals of the charged capacitor are then connected to those of an uncharged C2 capacitor. Which statement is correct for this procedure?(A) The original charge of the system is C1V； (B) The final potential difference across each capacitor is C1 V/ (C1 + C2)； (C) The total electrical energy of the system decreases when the two capacitors are connected； (D) All； (E) None.

16. The potential difference across the terminals of a battery is V1when there is a current of I1 in the battery from the negative to the positive terminal. When the current is Iz in the reverse direction, the potential difference becomes V.. (Note that V1, V2, I1 and I2 are all defined as positive values)Which statement is not correct for this system? (A) V1 = V2； (B) The internal resistance of the battery is (V2 - V1)/( I1 + I2)； (C) The enf of the battery is ( I1V2 +  I2V1 )/(I1 + I2)； (D) All； (E) None.

17. Adc motor with its rotor and field coils connected in series has an internal resistance of R. When the motor is running at full load on a supply of V, the emf in the rotor is . Which statement is not correct for this system?(A) The current drawn by the motor from the supply is (V-ε )/R； (B) The power delivered to the motor is V(V-ε )ε/R； (C) The mechanical power developed by the motor is (V-ε) ε /R； (D) All； (E) None.

18. A slender metal rod of length L rotates with an angular speed of ω about an axis through one end and perpendicular to the rod. The plane of rotation of the rod is perpendicular to a uniform magnetic field with a magnitude of B. Which statement is not correct for this system? (A) The induced emf in the rod is ωBL2 ； (B) The potential difference between its ends is ωBL2/2 ； (C) The induced emf in the rod is equal to the potential difference between its ends； (D) All； (E) None.

19. Which is not an appropriate pair of analogy between mechanical and electrical quantities of the oscillating systems?(A)vI；(B)kC；(C)mL；(D) FV；(E) None. (k = spring constant)

20. An electromagnetic wave has an electric field given by E(y,t) = E0 k cos(ky -ωt). Which statement is not correct?(A) The wave is traveling in (+y) direction； (B) It is polarized along x-direction； (C) B(y,t) =(E0/c) i cos(k y - ωt)； (D) All； (E) None.

21. Which is necessary for two sources of waves to be "coherent"?(A) They are "in phase"； (B) They have the same amplitude； (C) They have the same frequency； (D) All；(E) None.

22. The image of a real object produced by a convex mirror is (A) virtual； (B) erect； (C) reduced； (D) All； (E) None.

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