8. Upon being struck by 240-nm photons, a metal ejects electrons with a maximum kinetic energy of 1.45 eV. What is the work function of this metal?

(A) 5.18 eV

(B) 4.92 eV

(C) 4.33 eV

(D) 3.73 eV

(E) 3.13 eV

9. In the figure, an open tank contains a layer of oil floating on top of a layer of water (of density 1000 kg/m³) that is 3.0 m thick. What must be the thickness of the oil layer if the gauge pressure at the bottom of the tank is to be 5.0 × 10⁴ Pa? The density of the oil is 510 kg/m³. (A) 9.2 m(B) 8.2 m(C) 4.1 m(D) 2.0 m(E) 1.2 m

10. Two metal rods, one silver and the other copper, are both attached to a steam chamber as shown in the figure, with a temperature of 100°C, at one end, and an ice water bath, with a temperature of 0°C, at the other. The rods are 5.0 cm long and have a square cross-section, 2.0 cm on a side. When steady state has been reached, how much heat flows through the two rods in 1.0 min? The thermal conductivity of silver is 417 W/(m·K), and that of copper is 395 W/(m·K). No heat is exchanged between the rods and the surroundings, except at their ends. (A) 20 kJ(B) 11 kJ(C) 49 kJ(D) 47 kJ(E) 39 kJ

11. The figure shows a 50-kg frictionless cylindrical piston that floats on 0.68 mol of compressed air at 30°C. How far does the piston move if the temperature is increased to 300°C? (A) 1300 cm(B) 250 cm(C) 130 cm(D) 120 cm(E) 60 cm

12. A solid nonconducting sphere of radius R carries a charge Q distributed uniformly throughout its volume. At a certain distance r₁ (r₁ ＜ R) from the center of the sphere, the electric field has magnitude E. If the same charge Q were distributed uniformly throughout a sphere of radius 3R, the magnitude of the electric field at the same distance r₁ from the center would be equal to(A) E/9(B) E/3(C) 3E(D) 9E(E) E

13. Each plate of a parallel-plate air-filled capacitor has an area of 0.0020 m², and the separation of the plates is 0.020mm. An electric field of 3.9 × 10⁶ V/m is present between the plates. What is the surface charge density on the plates?(A) 17 μC/m²(B) 35 μC/m²(C) 52 μC/m²(D) 73 μC/m²(E) 87 μC/m²

14. A uniform magnetic field of magnitude 0.80 T in the negative z-direction is present in a region of space, as shown in the figure. A uniform electric field is also present. An electron that is projected with an initial velocity v₀ = 9.1 × 10⁴ m/s in the positive x-direction passes through the region without deflection. What is the electric field vector? (êx and êy are unit vectors in x- and y-directions, respectively) (A) +110 kV/m êx(B) -110 kV/m êy(C) +73 kV/m êx(D) -73 kV/m êy(E) None of the above.

15. When an LRC series circuit is at resonance, which one of the following statements about that circuit is accurate?(A) The impedance has its maximum value.(B) The reactance of the inductor is zero.(C) The reactance of the capacitor is zero.(D) The reactance due to the inductor and capacitor has its maximum value.(E) The current amplitude is a maximum.

16. A very small source of light that radiates uniformly in all directions produces an electric field amplitude of 2.96 V/m at a point 33.0 m from the source. What is the average power output from the source?(A) 102 W(B) 159 W(C) 256 W(D) 80 W(E) 318 W

17. A capacitor is charging in a simple RC circuit with a dc battery. Which one of the following statements about this capacitor is accurate?(A) There is a magnetic field between the capacitor plates because charge travels between the plates by jumping from one plate to the other.(B) There is no magnetic field between the capacitor plates because no charge travels between the plates.(C) There is a magnetic field between the capacitor plates, even though no charge travels between them, because the electric flux between the plates is changing.(D) There is a magnetic field between the capacitor plates, even though no charge travels between them, because the magnetic flux between the plates is changing.(E) The magnetic field between the capacitor plates is increasing with time because the charge on the plates is increasing.

18. When light goes from one material into another material having a higher index of refraction,(A) its speed, wavelength, and frequency all decrease.(B) its speed decreases but its frequency and wavelength stay the same.(C) its speed decreases but its wavelength and frequency both increase.(D) its speed increases, its wavelength decreases, and its frequency stays the same.(E) its speed and wavelength decrease, but its frequency stays the same.

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