• 締切済み

英語の問題なのですが，この問題が分かりません．

The Sun generates an average 3.74 × 10^26W of power . Assume the wavelength of the Sun’s radiation is 500 nm. a. Estimate how many photons the Sun emits every second. b. Estimate the temperature of the Sun. c. If 4.45×10^-8 of the Sun’s photons reach Earth, estimate the average intensity of this radiation on the Earth’s surface in (radius of Earth : 6.37×10^6 m) 英語の意味はなんとなく分かるのですが解けませんでした． どうかよろしくお願いします．

みんなの回答

  • spring135
  • ベストアンサー率44% (1487/3332)
回答No.1

a. 波長λ=500 nm=5*10^(-7)mのフォトン一個のエネルギーは(*は×） E=hν=hc/λ＝6.63*10^(-34)*3*10^8/(5*10^(-7))=4*10^(-19)J h:プランク定数=6.63*10^(-34)Jsec 　c:光速＝3*10^8m/sec n個/secのフォトンの放出によって 3.74 × 10^26W のエネルギー放出になると考えて nE(j/sec)=3.74 × 10^26W=3.74 × 10^26(J/sec) n=3.74 × 10^26(J/sec)/E=3.74 × 10^26(J/sec)/4*10^(-19)J=9.4*10^44個/sec b. 太陽表面の熱エネルギーがフォトンのエネルギーになると考えて E=hν=kT k:ボルツマン定数＝1.38*10^(-23)Ｊ/°Ｋ T:絶対温度(°Ｋ） T=hν/k=4*10^(-19)J/(1.38*10^(-23)Ｊ/Ｋ)=2.9*10^4(°Ｋ) c. intensity of this radiation を個数で測るのかエネルギーで測るのか不明ですがここではエネルギーとします。 average intensityで悩みました。太陽光は地球の反対側(夜の部分)に届かないから地表面の半分と考えるべきか全表面と考えるべきか不明です。ここでは全表面4πR^2(R=6.37×10^6 m)=5.1*10^14m^2 個数では(4.45×10^-8*9.4*10^44個/sec)/(5.1*10^14m^2)=8.2*10^22(個/m^2sec) エネルギーでは8.2*10^22(個/m^2sec)*4*10^(-19)J＝3.3*10^4J/m^2sec＝3.3*10^4W/m^2 この値は一般的に言われている値より少し大きめです。（計算に不安がのこります） 確認してください。

sasanao3308
質問者

お礼

ありがとうございました． 参考にさせていただきます．

  1. カテゴリ
  2. 学問・教育
  3. 自然科学
  4. 物理学

関連するQ&A

  • 英文の和訳を教えてください

    以下の文なのですが、訳せる方いらっしゃいましたらお願いします。 Stars, including our own sun, emit energies covering a range of wavelengths of the EM spectrum. However, different types of stars produce differing amounts of energy in each region of the spectrum. Our sun emits more photons in the visible light and surrounding regions than in any other part of the EM spectrum. This phenomenon may be why our eyes have evolved to see that part of the EM spectrum and not microwaves, gamma rays, or any of the other wavelengths that are emitted at lower intensities by our sun. Figure 9 includes a spectrum of the sun’s light that reaches Earth’s upper atmosphere. Notice the peak region is from 400 to 700 nanometers (nm), which is the visible range of the spectrum. Also note that there is a large number of photons through most of the infrared region of the spectrum (700 to 10,000 nm). At the higher-energy, shorter-wavelength end of the spectrum, the number of photons drops off dramatically. The sun’s spectrum contains very little light with wavelengths shorter than about 300 nm (i.e., photon energy greater than about 4 eV). The Earth’s atmosphere protects us from the higher-energy forms of light, such as ultraviolet rays. In fact, the existence of life on Earth would be far less likely if these more damaging forms of energy were more abundant. The terrestrial spectrum in Fig. 9 describes the light that actually reaches the Earth’s surface after passing through the atmosphere. Notice that there are various wavelengths in which the number of photons is greatly reduced as compared to the space solar spectrum. This difference is due to photons being absorbed by atmospheric gases, the best known being ozone (O3), which absorbs higher-energy (lower-wavelength) ultraviolet light below 400 nm. Photons with wavelengths near 900, 1100, and 1400 nm are absorbed by water vapor in the atmosphere. 以上です。自分でできれば良いのですが・・・

  • この単位の意味がわからず困っています・・・

    どなたか以下３つの単位の意味をご存知の方がいれば お教え頂けませんでしょうか。 よろしくお願い致します。 W/(sr × m2) W/(sr × m2 × nm) photons/(cm2 × s) in the wavelength range of 454

  • The Earth is not at right angles to

    The Earth is not at right angles to its path round the sun. Therefore the position of the sun in relation to the Earth's surface changes during the year. 訳をお願いします。

  • 和訳

    この訳で通じるか、訳し方はこれでいいのでしょうか？？ The longest wavelength yet observed in photosynthesis on Earth is about 1015nm(in the infrared), in purple anoxygenic bacteria. The longest wavelength observed for oxygenic photosynthesis is about 720nm , in a marine cyanobacterium. But the laws of physics set no strict upper limit. A large number of long-wavelength photons could achieve the same purpose as a few short-wavelength ones. すでに地球の光合成で観測された長波長は、およそ１０１５nm(赤外線の範囲にあり)酸素非発生型の紅色細菌がこれを用いることが出来る。 しかし、自然科学の原理には細かな上限があるわけではない。たくさんの長波長フォトンが少量の短波長フォトンとして同じ目的地に到達する。 アドバイスがあればください！！

  • 高分子化学の問題です。よろしくお願いします。

    下の問題ですが、高分子化学の問題で、訳も曖昧で答えもわかりません。解答お願いします。訳もしていただけると嬉しいです。どうかよろしくお願いします。 The parameters of a polymer sample are as follows: molecular weight, M = 1.8×10＾5; root mean-square radius of gyration, <S＾2>＾（0.5） = 47 nm; intrinsic viscosity, [η] = 770 cm＾3 g＾（‒1）; diffusion coefficient, D = 3.2×10＾7 cm＾2 s＾（‒1）; viscosity coefficient of the solvent, 0.305 mPa s; temperature, T = 25 ºC. Calculate Flory’s viscosity, Φ, and a constant related to the polymer morphology, ρ.

  • 英語の和訳・整序

    良く分からなかった和訳の箇所です。 The green house effect is a  warming near the earth's surface that results when the earth's atmosphere traps the sun's heat. Without this effect, the average surface temperature of the earth would be about 33℃ lower than it is. If you had been born in a poor nation, you might live in a house with only one room.The floor would be ground. The wall would be made of mud brick. The house would have no running water. It would have no bathroom or kitchen. Each member of your family might have only a little rice for meals. You could expect to live to be only about 40 or 50 years old. About 6 out of every 10 people on Earth live this way. この整序問題も良く分かりませんでした。 1“I really (in,with,you,wish,your,wouldn't,mouth,talk,food). 2If only (what,attention,had,the teacher,I,more,paid,to,said). 3If you (you would,an Americ an,had,talk,,her,Emi,take,heard,for). (1語不要)

  • (緊急)英文の日本語訳をお願いします。

    以下の文の日本語訳をお願いしたいです。英語力に乏しく困っています……。 The year 2014 ranks as Earth’s warmest since 1880, according to two separate analyses by NASA and National O ceanic and Atmospheric Administration (NOAA) scientists. The 10 warmest years in the instrumental record, with the exception of 1998, have now occurred since 2000. This trend continues a long-term warming of the planet, according to an analysis of surface temperature measurements by scientists at NASA’s Goddard Institute of Space Studies (GISS) in New York. In an independent analysis of the raw data, also released Friday, NOAA scientists also found 2014 to be the warmest on record. “NASA is at the forefront of the scientific investigation of the dynamics of the Earth’s climate on a global scale,” said John Grunsfeld, associate administrator for the Science Mission Directorate at NASA Headquarters in Washington. “The observed long-term warming trend and the ranking of 2014 as the warmest year on record reinforces the importance for NASA to study Earth as a complete system, and particularly to understand the role and impacts of human activity.”Since 1880, Earth’s average surface temperature has warmed by about 1.4 degrees Fahrenheit (0.8 degrees Celsius), a trend that is largely driven by the increase in carbon dioxide and other human emissions into the planet’s atmosphere. The majority of that warming has occurred in the past three decades.“This is the latest in a series of warm years, in a series of warm decades. While the ranking of individual years can be affected by chaotic weather patterns, the long-term trends are attributable to drivers of climate change that right now are dominated by human emissions of greenhouse gases,” said GISS Director Gavin Schmidt.While 2014 temperatures continue the planet’s long-term warming trend, scientists still expect to see year-to-year fluctuations in average global temperature caused by phenomena such as El Niño or La Niña.These phenomena warm or cool the tropical Pacific and are thought to have played a role in the flattening of the long-term warming trend over the past 15 years. However, 2014’s record warmth occurred during an El Niño-neutral year. “NOAA provides decision makers with timely and trusted science-based information about our changing world,” said Richard Spinrad, NOAA chief scientist. “As we monitor changes in our climate, demand for the environmental intelligence NOAA provides is only growing. It's critical that we continue to work with our partners, like NASA, to observe these changes and to provide the information communities need to build resiliency.” Regional differences in temperature are more strongly affected by weather dynamics than the global mean. For example, in the U.S. in 2014, parts of the Midwest and East Coast were unusually cool, while Alaska and three western states – California, Arizona and Nevada – experienced their warmest year on record, according to NOAA. The GISS analysis incorporates surface temperature measurements from 6,300 weather stations, ship- and buoy-based observations of sea surface temperatures, and temperature measurements from Antarctic research stations. This raw data is analyzed using an algorithm that takes into account the varied spacing of temperature stations around the globe and urban heating effects that could skew the calculation. The result is an estimate of the global average temperature difference from a baseline period of 1951 to 1980. NOAA scientists used much of the same raw temperature data, but a different baseline period. They also employ their own methods to estimate global temperatures. GISS is a NASA laboratory managed by the Earth Sciences Division of the agency’s Goddard Space Flight Center, in Greenbelt, Maryland. The laboratory is affiliated with Columbia University’s Earth Institute and School of Engineering and Applied Science in New York.

  • 生物の問題です（英文）

    An experiment was performed as follows with respect to the respiration and photosynthesis of plants. Read the statement and answer the questions below it. [Experiment]A flowering (monocot) plant was grown in a closed container. Assume that the air temperature is adjusted appropriately to match the plant's growth. The light level(L1 to L8)was varied and measurements taken of the amount of carbon dioxide absorbed per hour. The graph below shows the results of the experiment as the hourly absorption of carbon dioxide on the y-axis against light intensity on the x-axis. In addition, te organic matter and respiration rates are constant and unrelated to the light intensity. Q,When the light intensity is at 'L3', calculate the values in questions a. and b. below. The atomic weight of three elements is also shown below. H: 1.0 C:12.0 O:16.0 a. Mass of carbon dioxide consumed in photosynthesis per hour.(mg) b. The mass of glucose synthesizd per hour.(mg) という問題なのですが英文の訳とそのQの解答をよろしくお願います。

  • 数学の問題です。（英語）

    数学の問題です。誰か解き方を教えてください。 Question 1 If the average temperature of the earth t years from now is predicted to be T(x)=65-4/t (for t ≥8),find T’(10) and T”(10),and interpret your answers. Question 2 If $1000 is deposited in a bank paying r% interest compounded annually, 5 years later its value will be V(r)=1000(1+0.01r) ^5 dollars. Find V’(6) and interpret your answers. Question 3 A company that makes games for teenage children forecasts that the teenage population in the United States x years form now will be P(x)=12,000,000x-12,000x+600x^2+100x^3 Find the rate of change of the teenage population: a, x years from now. b, 1 years and 10 year from now and interpret your answer.

  • 英語の文型について

    以下の英文の「主語」「動詞」を教えてください。また、接続詞が含まれている場合はその場所に（接）と記してください。 １）We call the light that we can see coming from the sun white light. ２）To understand why this happened，we need to know why light has different colors. 3)Let’s see what happens when we shine white sunlight at an angle through a pane of glass. 4)What you can’t easily see is that glass slows down and bends some parts of light more than others. 5)That is how Newton got a beautiful rainbow of colors from white light. 6)The entire spectrum of what we call electromagnetic radiation goes beyond visible light in both directions, from very low energy radiation to very high energy radiation. 7)That’s why sunlight can travel through space to the earth. 8)On our chart the weakest (least energetic) radiation is on the left-hand side of the chart, and the strongest is on the right. 9)In a swimming pool, you can see the bottom of the pool because the light passes through the water to the bottom and bounces back up to your eyes. 10)Certain opaque objects, like the mirror in a bathroom,bounce almost all the light back into the air instead of absorbing it. 11)Since most objects do not make light,we are able to see them only when light bounces off them. 12)He discovered that the color of light that hits an object and then bounces off it never changes. 少し多いですがよろしくお願いします……

注目のQ&A

カテゴリ

専門家に質問してみよう

職業から探して質問する

あなたにピッタリな商品が見つかる！ OKWAVEセレクト

質問する