12. A frog in a hemispherical pod finds that he just floats without sinking in a fluid of density 1.35 g/cm³. (The pod is dry inside.) If the pod has a radius of 6.00 cm and negligible mass, what is the mass of the frog?

(A) 0.611 g
(B) 0.611 kg
(C) 0.350 kg
(D) 1.010 kg
(E) 1.010g

13. An inductor has a 54 Ohm reactance at 60 Hz. What will be the peak current if this inductor is connected to a 50 Hz source that produces 100 V rms voltage? (A) 0.69 A (B) 1.41 A (C) 2.71 A (D) 3.14 A (E) 1.73 A

14. An inductor and a resistor are connected in series. When connected to a 60 Hz, 80 V source, the voltage drop across the resistor is found to be 35 V rms and the power dissipated in the circuit is 11 W. What is the value of the resistance? (A) 134 Ω (B) 151 Ω (C) 123 Ω (D) 97 Ω (E) 111 Ω

15. At what distance from a long straight wire carrying a current of 5.0 A is the magnetic field due to the wire equal to the strength of the earth's field, 5.0 × 10⁻⁵ T? (A) 0.02 m (B) 0.2 m (C) 2 m (D) 20 m (E) 200 m

16. The phasor diagrams on the right represent three oscillating emfs having different amplitudes and frequencies at a certain instant of time t = 0. As t increases, each phasor rotates counterclockwise and completely determines a sinusoidal oscillation. At the instant of time shown, the magnitude of ε associated with each phasor given in ascending order by diagrams is (A) a, b, c (B) b, c, a (C) a, c, b (D) c, b, a (E) need more information

17. A 2.0 microcoulomb particle with a kinetic energy of 0.10 J is fired into a uniform magnetic field of magnitude 0.10 T. If the particle moves in a uniform circular path of radius 3.0 m, determine its mass. (A) 1.3 × 10⁻¹² kg (B) 1.8 × 10⁻¹² kg (C) 3.1 × 10⁻¹² kg (D) 3.7 × 10⁻¹² kg (E) 4.2 × 10⁻¹² kg

18. Consider blackbody radiation. Suppose the intensity spectrum peaks at the wavelength λ for temperature T. According to Wien's Displacement Law, where would the spectrum reach its maximum when the temperature is increased to 2T? (A) λ/32 (B) λ/16 (C) λ/8 (D) λ/4 (E) λ/2

19. John presents a wedding ring to Mary. To impress her, he spins the ring about a vertical axis at a frequency of 60 Hz in a magnetic field of B = 0.5 T as shown. If the area of the ring is 2.0 × 10⁻⁴ m², calculate the maximum emf induced in the ring. (A) 0.038 V (B) 0.046 V (C) 0.052 V (D) 0.060 V (E) not enough information

20. An emf of 12.0 mV is induced in a 500 turn coil when the current is changing at a rate of 10.0 A/s. What is the magnetic flux through each turn of coil at the instant when the current is 3.00 A? (A) 1.4 × 10⁻⁶ T·m² (B) 2.2 × 10⁻⁶ T·m² (C) 5.4 × 10⁻⁶ T·m² (D) 7.2 × 10⁻⁶ T·m² (E) 8.8 × 10⁻⁶ T·m²

21. In which of the following materials does the light travel the fastest? (A) vacuum (B) water (n = 1.33) (C) glass (n = 1.50) (D) diamond (n = 2.42) (E) light travels at the same speed through all of the above materials

22. The importance of the Compton scattering experiment is that (A) it indicates that light has interference effects; (B) it shows that the speed of light is a constant in all directions; (C) it provides an accurate means to measure the speed of light; (D) it illustrates that the electron has wave nature; (E) it confirms the particle nature of radiation.

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