9. A nonconducting sphere of radius R has a total charge Q spread uniformly throughout its volume. What is the potential energy of the sphere? (k =)
(A)
(B)
(C)
(D)
(E)

10. A thick spherical shell has an inner radius a and an outer radius 2a. The material has resistivity ρ. When a potential difference is applied between the inner and outer surfaces, assuming the current is radial at all points, the resistance is ______. (A) (B) (C) (D)(E)

11. A particle of mass m and charge q is in a circular orbit of radius R normal to an external magnetic field B. The magnetic field, at the center of its orbit, created by the charge is ______. (A) (B) (C)(D) (E)

12. A disk of radius R has a uniform charge density σ. It rotates about its central axis with the angular frequency ω. A uniform magnetic field B is normal to the axis. The torque on the disk is ______. (A)σωπBR⁴ (B) σωBR⁴ (C)σωπBR² (D) σωBR² (E) σωπBR⁴

13. Which of the following is false? (A) Entropy is a measure of the disorder in a system. (B) Entropy is a state function; it depends only on the equilibrium state of the system. (C) The entropy change in an isolated system is either zero or greater than zero. (D) The increase in entropy of a system is associated with the transition from states of low probability to those of high probability. (E) The transition of liquid water to the more ordered crystalline state of ice is forbidden by the second law of thermodynamics.

14. If the total energy of a moving particle of rest mass m is equal to 3 times of its rest energy, then the magnitude of the particle's relativistic momentum is ______. (A) mc (B) 2 mc (C) mc (D) 3 mc (E) 2mc

15. An electron is trapped within an infinite potential well of length 0.1nm. What is the ground state energy? (mₑ = 9.11×10⁻³¹ kg; h = 6.63×10⁻³⁴ J·s) (A) 3.4 eV (B) 13.6 eV (C) 37.7 eV (D) 151 eV (E) 339 eV

16. The work function for lithium is 2.3 eV. The surface is illuminated with some electromagnetic wave. If the stopping potential is 0.6 V, the wavelength of the wave is ______. (A) 428 nm (B) 213 nm (C) 100 nm (D) 80 nm (E) 50 nm

17. In the transistor, the impurities in the crystals that are generally used are ______. (A) Osmium and Cerium (B) Silicon and Germanium (C) Cadmium and Strontium (D) Boron and Phosphorus (E) Gallium and Lanthanum

18. A uranium nucleus at rest decays into a thorium nucleus and a helium nucleus: ²³⁸U → ²³⁴Th + ⁴He. Which of the following is true? (A) Each decay product has the same speed. (B) Each decay product has the same kinetic energy. (C) The decay products tend to go in the same direction. (D) The thorium nucleus has more momentum than the helium nucleus. (E) The helium nucleus has more kinetic energy than the thorium nucleus.

19. An air filled parallel plate capacitor has a capacitance of 1μF. The plate separation is then doubled and a wax dielectric is inserted, completely filling the space between the plates. As a result, the capacitance becomes 2μF. The dielectric constant of the wax is ______. (A) 0.25 (B) 0.5 (C) 2.0 (D) 4.0 (E) 8.0

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