三、依據上述的案例，請提出在地性的建築設計準則〈30%〉

Solve the following differential equations. 1.(10%)

2. +y=0,y(0)=2 (20%)

3. y'-2=sinx , y(0)=1 (20%)

4. y"(x)+y'(x)=1,y(0)=0,y'(0)=0(25%)

5. ,y(0)=0 ,y'(0)=0 (25%)

(1) (10 points) The spectrum of a star can tell us some of its important properties. Choose three different types. of properties that you can get from the spectrum of a star. Describe the physics behind each of your choices.

(a) (6 points) Describe and explain the phenomena of interference and diffraction in the context of wave theory of light.

(b) (14 points) A thin film of thickness 500 nm is placed in vacuum. A visible light source with wavelengths from 360 nm to 720 nm is incident normally on the thin fim and found that 400 nm and 600 nm are missing in the relected light. Find the minimum possible refractive index of the thin flm. For this refractive index, what wavelengths are reilected most strongly from the thin flm? What wavelengths are transmitted most strongly through the thin film?

(a) (10 points) Consider the Earth as a sphere of mass with radius RE. Derive, with the help of a diagram, the tidal force exerted by the Moon on the Earth's surface. (Hint: assume the distance between the Moon and the Earth deM is much larger than RE.]

(b) (10 points) The ratio between the tidal force exerted by the Moon to that exerted by the Sun is 7 to 3. Estimate the ratio of the average density of the Moon to that of the Sun. [State clear the assumptions you made and the extra information (if any) that you used.]

102年 - 102 樹德科技大學_碩士班暨碩士在職專班入學考試筆試試題_建築與室內設計研究所碩士班：建築與城鄉發展概論 (選考)#103792

101年 - 101 樹德科技大學_碩士班暨碩士在職專班入學考試筆試試題_建築與室內設計研究所碩士班：建築與城鄉發展概論(選考)#103891