全國中小學科展

四等獎

Inverter

PURPOSE: The purpose of making an Inverter which gets charged with the help of sound energy, produced by speakers for instance, and regenerative shock absorbers which are used in cars so that we can easily charge the inverter with the help of sources which we use in daily life. PROCEDURE: The regenerative shock absorbers are capable of generating electricity when a car moves over bumps. It works by hydraulic fluid passing through a turbine. When the fluid passes through turbine, the turbine turns a small generator and more power is created. A piston is disposed for reciprocating motion within a cylinder as a vehicle’s suspension system deflects. Hydraulic fluid passes through a hydraulic motor to turn its shaft. The hydraulic motor shaft is connected to an electric generator to generate electricity. The second source of energy to charge the inverter is by the help of sound produced in day to day life. Some piezoelectric sensors attached to the board as soon there is a tap or any kind of vibration on the board these and convert them to electrical signals. This means that parasitic energy of busy roads, railroads, footpaths and runways near population centers can be converted into electrical energy that can run public lighting, or fed back into the grid. DATA: The data which have been collected with some experiments is that on an average piezoelectric can produce 330W of power. • When sound pressure is around 62 dB, the frequency is of 102 Hz. • Sound pressure is of 65 dB the frequency is of 500 Hz. Another case when the regenerative shock absorbers come in contact with the piston it produces an average power of 340W-350W. CONCLUSION: With the use age of piezoelectric sensors and regenerative shock absorbers we can produce electricity at a very low cost for inverters; these inverters can provide electrical supplies to the house. The most important reason to make such kind of innovation is one because it is money efficient, second this can come in handy for those who can’t afford to buy inverters at a very high cost and then when charging these inverter these people have to use their electrical supply!

空間震盪與擴散

筆者將K?Cr?O?置於明膠溶液中煮沸,加入AgNO?水溶液,使之造成空間震盪反應。產生Liesegang ring。並且在研究空間震盪的過程中,筆者在研究過程中同時發展出一個程式,可以完成空間震盪實驗完成之後,由其震盪條紋的時空關係,得知ksp與擴散係數。或者可以在已知ksp和擴散係數的條件之下,預測出空間震盪實驗完成時的情形。We put K?Cr?O? into glutin, boiling it. After it concretizes, add AgNO? aqua into the glutin of K?Cr?O?. It is made to be space oscillation reaction with the Liesegang rings. And when we research for the process of space oscillation, we develop a program which can know the Ksp or diffusing coefficient after finising an experiment in Lablratory. Or we can predict the statement after the experiment on the condition of the Ksp and diffusing coefficient.

台海的冬季訪客-鯔魚洄游的研究

每年一到冬季,常常會看到新聞報導有關烏魚洄游的消息。往往在當季讓漁民有可觀的收穫。恰巧國三的地球科學課時,第四章「地球上的水」有一小段提到:「冬季時台灣海峽由於東北季風吹送,中國沿海的海流向南流至澎湖群島附近,使台灣西南海域的水溫降低,正適合烏魚習性,因此每年在冬至前後左右,大量烏魚為台灣的漁民帶來可觀的魚獲。」為什麼冬季時台灣海峽會因東北季風吹送,中國沿海的海流會南流至澎湖群島附近?台灣酉南海域水溫降低,範圍有多廣?台灣的東南海域呢?烏魚有何習性?適合的海域水溫為何?除了水溫使大量烏魚洄游至台灣西南海域外,是否還有其他的因素?.....經過老師的鼓勵和指導後,我決定把烏魚洄游的情形整理出來並試著找出疑點的答案。

強電場下DNA穿透細胞膜的蒙地卡羅電腦模擬

去年暑假,我們從Newton雜誌得知,布洛貝爾博士(Dr. Gunter Blobel)由於發現了蛋白質如何在細胞之間運送,增進了人們對遺傳性疾病的了解,因而榮獲1999年的諾貝爾醫學獎。同為高分子鏈的DNA,在基因遺傳工程中常被用來在強電場的情況下穿破細胞膜,以進行基因的改造,其穿的物理機制又為何?在一場演講中,我們知道鍵振盪模型(bond-fluctuation model)可用來模擬高分子系統,因此我們想以之模擬DNA在強電場下穿透細胞膜的行為。

彩色蠶繭之研究

近幾年來,蠶繭彩色化已引起廣泛的注意,日本與中國大陸紛紛投入此研究領域。我們用食用色素、酸性染料和活體染色劑中性紅等色素水溶液,以沾附於桑葉餵食、浸泡蠶體、注射入蠶體血腔等方法,使白色繭品系的家蠶生產出多種顏色的彩色蠶繭,其中以附於桑葉餵食最有效率,我們就此法找出投與色素的有效期間,可以比日本、中國的方法更節省色素。同法處理黃色品系的家蠶則產生黃色與所加色素的混合色蠶繭。由於這樣得到的彩色蠶繭放久了都會褪色,我們試用奈米色素餵食家蠶所得彩色蠶繭,與一般食用色素所製成的彩色蠶繭比較,發現對各種光照、清潔劑清洗等處理,用奈米色素所得蠶繭明顯較用一般食用色素所得蠶繭不易褪色。這樣用奈米色素生產的彩色蠶繭,因為解決了褪色的問題而更具有潛在的產業價值。To make silkworm cocoons with different colors has received a great attention recently. Japan and China have invested great resources in this field of the study. In order to let white cocoon silkworms produce cocoons of different colors, we used the aqueous solutions of food dyes, acid dyes and neutral red, and fed the worms with mulberry leaves immersed with such aqueous solutions, or directly soaked or injected them with the solutions. We found that using mulberry leaves immersed in the dye solutions was the best approach. We improved this approach by finding a critical, effective time of applying dyes. It saved the dyes and labor than those of Japan and China. We also found that yellow cocoon silkworms produced yellow and mixing colored cocoons by the mulberry leaf feeding method with the same dyes. Because all colors of the cocoons mentioned above faded easily, we furthermore tested nano-dye and found that colors of the cocoons had better resistant to fading away in washing with detergents under various types and intensities of light illumination. This result suggested that nano-dye has a potential in solving the fading problem of the colored cocoons.

Amazing Fairy Chess -討論多元方形鏈的數量

在這篇研究報告中,我們討論的是一種方形集合圖形的數量。”多元方形鏈”約略在 60 年代被提出,衍生出一系列的問題和遊戲,例如熟知的電玩軟體 『 俄羅斯方塊 』 ,或是 『 益智積木 』 的遊戲,都是多元方形鏈的應用。在這些問題當中,最令人頭痛的難題就是 n 元方形鏈的圖形總數。為了解決這道難題,我們採用一種轉換方法將圖形轉換成序組,並且給出序組的性質,再據此寫成 C 語言的程式;反覆地修改程式以增進執行效率及速度,最後利用該程式成功地統計出圖形總數。 In this report, we discussed the amount of polyominoes, the graphs of a set of squares. “Polyominoes” has been brought up in 1960s, and later developed into a series of questions and games, such as a well-known video game — Tetrix, and the game of puzzle blocks. Both are the applications of polyominoes. Among those questions, the toughest one is the amount of n-polyominoes. To solve this problem, we used a method which transforms the graphs into sequences. By looking into the properties of those sequences, we obtain a set of rules that can be used to determine the quantity of n-polyomines. The rules are implemented into computer codes in C language with proper modifications made to speed up the efficiency of our algorithm. The computational results show that the amount has been successfully calculated.

以3DVR虛擬實境融入教學活動設計之研究

面對一個終身學習,多元化學習的社會,學習的方法不再侷限於閱讀或求教於師了,取而代之的是電腦科技的變革。上屆學長利用線上代理人融入遠距教學的作品令我印象深刻,但總覺得少了些趣味及互動性,於是本實驗嚐試將虛擬實境加入線上代理人及遠距教學,利用空間魔法師建構出來的環境,讓使可者能夠融入其中,悠遊在虛擬的世界,並配合鍵盤的滑鼠的控制移動,點選建構出來的虛擬物件,透過超連結連結至網路上的知識網頁,配合線上代理人的互動及帶領,結合了主動、趣味、互動與便利,開創未來的學習方法,一個講求效率、速度及克服空間無時無刻都能學習的環境。With the arriving of 21st century,things are widely different,including the ways of learning. Because of the revolution of multi-media,computer technology will change the traditional way of learning. I was impressed by the master piece 「Long-distance with Agent」 which was done by the schoolmates last semester. But I feel their work still have much room for improvement,so I combine to use the virtual environment with the advantages of their work. Learners can move and click the objects in the virtual reality space,and they can be linked to the knowledge website through the Internet. Learners can enjoy the interesting ,fast,interactive and efficient learning environment. This work is done by the Space Magician Ver3.0, which is used to design a 3D virtual reality environment. And the users can enjoy the net-surfing and through the hyperlinks to get the information.

利用雷射光碟(CD)做光的繞射實驗

雷射光碟(以下簡稱CD)除了在電腦、音響方面有甚佳的視聽功能外,在光線照射下,呈現彩虹狀的光譜,必定引起你我研究其光學性質的興趣。國內以CD研究光的繞射的著作,有李偉等四人近三年發表五篇,國外科教期刊自1991年迄今共有19 篇,在老師指導下,利用CD進行了8 項實驗,分成三大項。1.利用氦氖雷射分別照射舊唱片、CD、DVD,反射光形成繞射現象,由dsinθ=mλ,量出槽距。2.將CD-R 的鋁層刮掉,(整疊購買的CD-R上下有數片未鍍鋁的瑕疵片),成為透光式CD(透射式光柵),將其中心半徑5.5 公分部份,用黑紙遮住,正對陽光,螺旋狀的溝槽將陽光聚成一點,量出各色光到CD的距離,可算出色光的波長。3.透射式CD置於投影機鏡頭前方,投影機置物台上,放置化學藥品,可直接在屏上觀察吸收光譜。The rainbow of colors reflected from the surface of an audio compact disc (CD) is a familiar sight.It is the phenomenon of light diffraction. A standard CD has 20,625 turns of the spiral, and each line is spaced by 1.6μm. This provides a grating of 625 lines/mm. We used ordinary CDs as reflection grating in our experiment,and transparent factory rejects with no coating but printed data spirals as diffraction grating. We conducted eight experiments of diffraction using the two kinds of CD. (a) Determined the grating spacing of an ordinary CD using a laser beam. (b) Determined the grating spacing of a transparent CD using a laser beam. (c) Studied the diffraction patterns caused by a laser beam held at angles to a transparent CD. (d) Measured the wavelengths of sunlight using a transparent CD. (e) Measured the wavelengths of sunlight using an ordinary CD. (f) Formed a rainbow using a transparent CD. (g) Observed the scattering of light using a transparent CD. (h) Demonstrated the absorption spectrum using a transparent CD and an overhead projector.

探討聲致發光效應中,改變溫度,濃度,液體種類,頻率對氣泡發光的影響?

聲致發光效應(sonoluminesence)為最近二十年來相當新穎的研究領域,其基本原理是利用超聲波將水中的氣泡集中,並使之隨著超聲波快速且連續的膨脹壓縮,當氣泡被壓縮至最小時溫度急遽上升,並放出藍白色的光芒。正因為這是一個嶄新的領域,所以許多實驗是以嘗試錯誤的方法去進行,但也因此發現了一些特殊的現象:1. 氣泡在正常的頻率(30kHz)以外,經過一段不可發光的頻率後,還可在更高頻率(接近40kHz)的地方發光2. 氣泡發光效率曲線在不同性質溶液中的差異3. 針對高頻率發光及雙泡發光的部分,做了兩個相關的假設並進一步驗證,得到了相當特別的結論。至今已有許多關於此研究的成果發表,但對於同時兩顆氣泡存在並發光的雙泡發光現象(double-bubble sonoluminesence)卻還很少人研究。因此我們嘗試較系統化地分析雙泡發光,期望能夠對這個現象有進一步的認識,並對日後的多泡發光(muti-bubble sonoluninesence)研究奠定基礎。Sonoluminescence has been a very popular topic for the past twenty years. Single-bubble sonoluminescence occurs when an acoustically trapped and periodically driven gas bubble collapses so strongly that the energy focusing on collapse leads to light emission. Because it is a new topic, few related experiments on this issue have been carried out before. However, while doing the research and making adjustments at the same time we discovered some special phenomenon: 1. Besides the normal amplitude frequency (30kHz) added on the bubble, we found that after a period of frequency which can not emit, the bubble is able to remain and emit in higher amplitude frequency (about 40 kHz). 2. We also compared the emission efficiency when bubbles are in different liquids. 3. To explain part of the results in high frequency and double-bubble sonoluminescence, we made two assumptions and attempted to demonstrated them in the end of the report. Some research studies in this field have been released already; nevertheless, few people concentrate on “double-bubble sonoluminescence.” Therefore, we attempt to systematically analyze the emission of double-bubble, expecting to have more comprehension of this marvelous effect and also establish the fundamental background to “muti-bubble sonoluninescence.”

光速的測定

本實驗改良菲左測定光速之實驗,將原本的光路以光纖取代,並將原本的光源改為紅外光。做了上述的改良以後,可將實驗的空間及時間縮小。實驗中輸入固定頻率的紅外光載送週期性的訊號經光纖傳輸後,利用示波器觀察訊號的延遲時間,以此實驗技巧可精密計算出光速。在輸入訊號為0.1~5MHz時,光在光纖的平均速率為2.09×108 (m/s)。換算真空中光速c=折射率n(1.467)×光纖中速率v(2.09×108m/s)=3.03×108 (m/s),平均百分誤差0.43%,平均誤差為0.13×108 m/s,準確度為99.57%。 若取最佳輸入頻率2~3MHz所得到之數值,光在光纖的平均速率為2.05×108 (m/s)。換算真空中光速c(3.00×108 m/s)=折射率n(1.467)×光纖中速率v(2.05×108 m/s),平均百分誤差為0.33%,平均誤差為0.01×108 m/s,準確度為99.67%。 A method using optical fiber is described for measuring the velocity of light . Measuring the velocity of light usually needs a long distance and in a brief time. These experiments use optical fiber and TOSA and ROSA