7. What is the root-mean-square value of a triangular wave with its maximum voltage at ±V_max and a period of T.
(A)
(B)
(C)
(D)
(E)

8. A solid rod with length L, resistance R and mass M initially rotates with angular velocity ω in a uniform magnetic field B. The two ends of the rod are connected by a conducting wire without resistance. According to Lenz's Law, the induced current will oppose the change of magnetic flux. In this case, the induced current will produce a torque to slow down the rotation speed. What is the torque? Take the pivot point as the origin.(A)(B)(C)(D) (E)0

9. Which quantity cannot be measured by Hall effect? (A) The external magnetic field (B) The sign of the charge carriers (C) Electron's charge to mass ratio (D) The type (N- or P-type) of semiconductor (E) The density of free electrons inside metal

10. A cord is wrapped on a pulley (treated as a uniform solid disk) of mass M and radius R as shown in the figure. To one end of the cord, a block of mass M is connected and to other end in ( A ) a force of 2Mg and in ( B ) a block of mass 2M. The cord does not slip relative to the pulley as the block falls. Let angular acceleration of the disk in A and B be aa and ae, respectively. So, M, R M, R 2M1g 2M (A)αA:αB = 3:1 (B)αA: αB = 1:1 (C)αA:αB = 2:1 (D)αA:αB = 5:2 (E)αA:αB = 7:3

11. The average power transferring along the string can be written as P= μvaωb Ac/2, where μ is the mass density of the string, ω the angular frequency of the string wave, A the amplitude, v the speed. What is the value of a+b+c ? (A) 1 (B) 2 (C) 3 로 (D)4 (E) 5

12. A shear force of 600 N is applied to one face of an alloy cube with sides of 20 cm while the opposite face is held fixed in place. What is the resulting displacement of the face? (The shear modulus for this alloy is 2.50 x 1010 N/m2)? (A) 12 x 10-8m (B) 9.0 x 10-8 m (C) 6.0 X 10-8m (D) 3.0 x 10-8 m (E) None of the above

13. Consider two different diatomic ideal gases (N1 and N2) kept in two separate volumes (V1 and V2) at the same temperature T and both volumes thermally isolated to the environment. What is the change of entropy in the mixing process? (A)(B) (C)(D) (E) None of the above. 

14. There is an electric dipole in an external uniform E-field, as shown below. Examine the following expression for the work done on the dipole: where U(θ)=0 as θ=π/2. (A) This expression is correct (B) The negative sign after the second equal sign is wrong (C) The negative sign after the last equal sign is wrong (D) Both negative signs should be removed (E) The dipole has a maximum potential cnergy when it is parallel to (namely,θ=0)

15. Referring to the DC circuit shown below with the capacitor C been fully charged, the switch S is connected "ON" at t= O so that the crrent I2 starts to flow through the resistor R2. How does the current function I2(t) depend on time? (A) (B)(C) (D)(E)

16. Two short uniform cylindrical-shaped magnetic bars, with identical length L and radius R, are lined up through their cylindrical axis and separated by a distance x with respect to the center of mass of each one. Considering the pure dipole approximation, x>>L> R, the magnetic force between two magnetic dipoles are proportional to the p-th power of the distance x. What is the value of p? (A)-2 (B) -3 (C) -4 (D)-5 (E) -6 

17. The double-slit experiment also exhibits diffraction effects, as the slits have a finite width D. According to the calculated intensity Iθ = I(θ) of interference pattern, as shown below, with the parameters: d = pD=gλ, where d is the distance between slits and λ is the wavelength of light. Determine what the value of p/q is. (A) 1/12 (B) 1/11 (C) 1/10 (D) 1 (E) 11

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