14 A point charge Q=-500 nC and two unknown point charges, q₁ and q₂, are placed as shown. The electric field at the origin O, due to charges Q, q₁ and q₂ is equal to zero. The charge q₁, in nC, is closest to:

(A)120

(B)-120

(C)-210

(D)250

(E)210

15 When there is a net static charge present on an isolated perfect conductor(A)the charge will be uniformly distributed over the surface of the conductor.(B)the surface charge density will be greatest where the conductor is flat and smallest where there are sharp points.(C)the electric field inside the conductor needs not be zero if the conductor is hollow.(D)every point throughout the entire conductor will be at zero potential.(E)every point throughout the entire conductor will be at a constant potential, but not necessarily at zero potential.

16 If the length and diameter of a wire are both doubled, the resistance will be(A)increased fourfold.(B)unchanged.(C)halved.(D)doubled.(E)None of these are true.

17 If you were to cut a small permanent bar magnet in half,(A)each piece would be a smaller bar magnet.(B)neither piece would be magnetic.(C)one piece would be a magnetic north pole and the other piece would be a south pole.(D)each piece would be a small magnet, but the magnitudes of magnetic field of the north and south poles would not necessarily be equal on a magnet.(E)None of these statements is true.

18 A rigid rectangular loop, which measures 0.30 m by 0.40 m, carries a current of 9.9 A. A uniform external magnetic field of magnitude 1.8 T in the negative x-direction is present. Segment CD is in the x-z plane and forms 19° with the z-axis. The y-component of the magnetic force on segment AB is closest to:(A)zero(B)-5.1 N(C)-1.7 N(D)+5.1 N(E)+1.7 N

19 In the following figures, which of the phasor diagrams represents a series RLC circuit driven at resonance?(A)(B)(C)(D)(E)

20 A tank holds a layer of oil, 1.26 m thick, which floats on a layer of syrup that is 0.9 m thick. Both liquids are clear and do not intermix. A ray from the bottom of the tank crosses the oil-syrup interface at a point 0.90 m from the axis. The ray arrives at the oil-air interface, 2.00 m from the axis and at the critical angle. The index of refraction of the syrup is closest to:(A)1.62(B)1.41(C)1.85(D)2.06(E)1.29

21 選出正確的敘述(A)波從輕弦入射重弦，則反射波與入射波反向(out of phase)(B)波從重弦入射輕弦，則反射波與入射波同向(in phase)(C)波的振幅加倍，則傳遞的功率增大四倍(D)弦的線密度減半，則傳遞的功率也減半(E)弦的張力加倍，則傳遞的功率也加倍

22 實際的彈簧並不遵守Hooke's law: Fₓ=-kx，而是類似Fₓ=-kx+ax²-bx³(k,a與b都是大於零的常數)。一端固定的實際彈簧如外力作用在另一端，使此自由端的位移從x=0到x=c，c＞0，外力作功W，則(A)此時彈簧也作功W(B)如彈簧自由端的位移從x=0到x=-c，則彈簧作功-W(C)彈簧自由端的位移在x=c，儲存在彈簧的位能=W(D)彈簧自由端的位移在x=-c時，儲存在彈簧的位能大於W(E)外力拉長與壓縮彈簧相同距離所作的功相同

23 質量分別為m₁，m₂的物體(m₁＞m₂)，靜止於無摩擦力的表面上，m₁與m₂受同樣的作用力作用相同的一段時間後，如p=動量，K=動能，則(A)p₁＞p₂(B)p₁＜p₂(C)K₁＞K₂(D)K₁=K₂(E)K₁＜K₂

24 下列何者是波爾的氫原子模型的假設：(A)電子的位置與動量有測不準關係：Δx·Δp≥h(B)電子只能在某些穩定的軌道(stationary state)間移動(C)電子的角動量滿足量子化條件：mrv=nℏ(D)電子的角動量滿足量子化條件：mr²v=nh(E)在穩定的狀態下具有能量E，原子發出的光子具有頻率f=E/h

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