(b) (5 points) Show that the acceleration in the direction is zero.

(C) (15 points) Show that the acceleration in the direction is inversely proportional to r2.

(a) (6 points) Describe uncertainty principle in quantum physics. A particle is conined within a box which has a size of order d. Give an approximate expression for the kinetic energy of the particle (due to quantum effect) in non-relativistic regime.

(b) (7 points) A sphere of ionized nuclei and electrons has radius R and mass M (the sphere is neutral as a whole). Suppose the sphere is cold enough that the internal energy of the sphere is dominated by the quantum motion of electrons. If the total kinetic energy of the electrons is roughly the same as the total Coulomb binding energy, the relation between the radius and the mass can be approximated as . Find a.

(C) (7 points) Now if the total kinetic energy of the electrons in (b) is roughly the same as the total gravitational energy of the sphere (neglect Coulomb interaction), once again the relation between the radius and the mass can be approximated as

一、「室內設計」的本質為何？試申論之。（50％）

二、數位環境中的科技技術，如何融入「室內設計」? 您有何策略？試申論之。（50％）

一、請由鄉土風格與地方色彩的角度，論述後現代設計運用之行銷特色。〈30%〉

二、何謂「無用設計」〈Utterubbish〉？無用設計的中心概念是甚麼？〈30%〉

三、請選擇一個案例，敘述數位媒體與科技的運用所呈現之當代文化內涵。〈40%〉

（１）請說明設計工作人員除了以設計專業知識、技能作為專業實務能力表現基礎外，日常生活中還可以 涉獵哪些訊息，作為提升設計競爭力之相關能力? 最後請將生活實例中你個人認為最成功的 品牌商標畫出來，並說明為什麼? （製稿工具規範：原子筆或鉛筆等單一色彩表現工具，尺寸：10 公分*10 公分）

110年 - 110 國立中央大學_碩士班招生考試_天文研究所：物理與天文#103893