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3. Try to derive the wave equation of the electromagnetic wave from Maxwell's equations, and obtain that its propagation speed is the speed of light c in vacuum. (10%)

2. A uniform insulating rope of mass M and length L hangs from a ceiling. A small metal ball with charge +Q and mass m is suspended at the bottom of the rope, which is above an infinite grounded plane at a distance d from it, as shown in Figure 6. There are surface charges induced in the grounded plane. (a) Find the electric force acting on the charged metal ball. (b) The surface charge density at point O, which is directly below the ball. (c) Find the speed of a transverse wave on the rope due to the electric and gravitational forces, which is a function of y, the distance from the lower end. (15%) [Hint: the speed of a transverse wave on a string v = √(τ/μ) with tension τ and linear mass density μ.]

二、計算題 1. A homogeneous thin half circle of radius R with a total mass M is symmetric about the y axis, as shown in Figure 5(a). (a) Find the coordinate of the center of mass (COM), (x_COM, y_COM). (b) Find the rotation inertia when it rotates around the axis passing through its COM (in parallel with the z-axis). (c) If the half circle is rotated in the xy plane with a small angle θ on a frictionless pivot at point P which is on the y axis, as shown in Fig. 5(b), and released. Show that the half circle will execute simple harmonic motion, and find the period T of simple harmonic motion, where the direction of gravitational acceleration g is in −ŷ. (15%)

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44.基因類胰島素生長因子2(Insulin-like growth factor ; Igf2)會影響子代的生長,有一子代遺傳到媽媽無甲基化正常的Igf2,而來自爸爸的遺傳是高度甲基化突變的Igf2,請問以下何者正確? (A)子代身高正常 (B)子代中有一半正常有一半不正常的機會 (C)子代身高不正常 (D)因無說明配子中突變和正常的Igf2何者為顯性或隱性,於是無法決定 (E)因無說明基因體印記(genomic imprinting)是在精子或卵子上,於是無法決定

14.對古典制約(classical conditioning)的敘述,下列何者為真? (A)在制約學習中,非制約刺激(UCS)與制約刺激(CS)指的是同一個刺激 (B)古典制約只能產生二級反應 (C)古典制約被稱為反應性反應 (D)在制約學習中,非制約反應(UCR)與制約反應(CR)的生理現象截然不同

48 甲於乙公司所營網站上購買某型號行動電源,使用時因爆燃而受傷,經調查係因商品瑕疵所致,該商品係 由外國丙公司設計、製造,並由丁公司輸入臺灣於各網路通路銷售。下列敘述何者錯誤? (A)丙、丁均應確保該產品符合當時科技或專業水準可合理期待之安全性 (B)乙就商品瑕疵所生之損害,與丁連帶負賠償責任 (C)乙、丁均應即回收該批商品 (D)甲就商品之危險、該危險與其所受損害間具相當之因果關係,無需負舉證責任

3.台北捷運哪一線的進站音樂是引入 asymmetric meter 而成? (A) 淡水信義線 (B) 松山新店線 (C) 中和新蘆線 (D) 板南線