JP6582613B2 - Light refraction experimental template - Google Patents

Light refraction experimental template Download PDF

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JP6582613B2
JP6582613B2 JP2015128099A JP2015128099A JP6582613B2 JP 6582613 B2 JP6582613 B2 JP 6582613B2 JP 2015128099 A JP2015128099 A JP 2015128099A JP 2015128099 A JP2015128099 A JP 2015128099A JP 6582613 B2 JP6582613 B2 JP 6582613B2
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template
line
light
horizontal
vertical radius
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JP2017003951A (en
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武久 八島
武久 八島
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光の屈折実験用テンプレートを使った光の屈折実験では、三枚のテンプレートそれぞれに特徴のある垂直線、水平線を印刷し、入射光の角度を、一枚目のテンプレートに設定し、三水平線が一点で交わるという原理に基づき、二枚目のテンプレートを合わせると、屈折光の進路が決定され、テンプレート上に実際の角度で現れることで、定性的な実験から、定量的な実験へと実験の質の向上が期待できる、光の屈折実験用テンプレートに関する。In the light refraction experiment using the light refraction experiment template, the vertical and horizontal lines characteristic of each of the three templates are printed, the angle of incident light is set in the first template, and the three horizontal lines are Based on the principle of intersecting at one point, when the second template is put together, the path of the refracted light is determined and appears at an actual angle on the template, so that the experiment changes from a qualitative experiment to a quantitative experiment. The present invention relates to a template for light refraction experiments that can be expected to improve quality.

従来の光の屈折実験装置は、円形の水槽に角度目盛りを施し、入射光の角度と、屈折光の角度を目盛りで測り、角度の差を見て光の屈折現象が起きたことを、確認するに留まっていた。少し進んだ検討をした場合でも、入射角の正弦と屈折角の正弦の比が、一定の値を示し、それを屈折率と呼ぶことを、定理として理解させることで完結するに留まっていた。The conventional light refraction experimental device has an angle scale on a circular water tank, measures the angle of incident light and the angle of refracted light with the scale, and confirms that the light refraction phenomenon has occurred by looking at the difference in angle. I stayed in. Even when the study was advanced a little, the ratio of the sine of the incident angle to the sine of the refraction angle showed a constant value, and it was only completed by understanding that it was called the refractive index.

三枚のテンプレートの、三つの水平線が一点で交わるように合わせることで、入射角の正弦、屈折角の正弦の比が屈折率に等しくなる入射角、屈折角を簡単に決めるという課題。
三つの水平線が一点で交わった図形から、単位時間に光の進む速さの違いから、屈折現象が現れることを簡単に説明する課題。
The challenge is to easily determine the incident angle and refraction angle at which the ratio of the sine of the incident angle and the sine of the refraction angle is equal to the refractive index by matching the three templates so that the three horizontal lines intersect at one point.
A problem that simply explains that a refraction phenomenon appears from the difference in the speed of light per unit time from a figure where three horizontal lines intersect at one point.

円形透明樹脂板に、垂直直径線2、水平直径線3、角度目盛り4を印刷したテンプレート1および、円形透明樹脂板に、垂直半径線6、中心から垂直半径線6の方向に線分8を設定し、終点より水平線7を印刷した、テンプレート5および、円形透明樹脂板に、垂直半径線10、中心から垂直半径線10の延長上に線分8に対して1/屈折率に設定された長さを持つ線分12を引き、その終点より水平線11を印刷したテンプレート、この三枚のテンプレート1,5,9を重ねて、円形の中心に穴を施しハトメ等で固定し、三つのテンプレート1,5,9が自由に回転出来るようにし、入射光の方向を垂直半径線6に、屈折光の方向を垂直半径線10に合わせるとき、三つの水平線3,7,11は一点で交わる。実施時に、テンプレート1は水槽に固定し、可動なテンプレートは5と9になる。(図4)A template 1 in which a vertical diameter line 2, a horizontal diameter line 3, and an angle scale 4 are printed on a circular transparent resin plate, and a vertical radius line 6 on the circular transparent resin plate, and a line segment 8 in the direction of the vertical radius line 6 from the center. set, and printing the end point by Rimizu Tairasen 7, the template 5 and the circular transparent resin plate, the vertical radius line 10, on the extension of the vertical radial line 10 from the center, 1 / refractive index with respect to the line segment 8 a line segment 12 having a length set for the argument, the template 9 printed with horizontal line 11 from its end point, overlapping the three pieces of template 1, 5 and 9, in eyelet or the like by performing a hole in the circular center When the three templates 1, 5, 9 can be freely rotated and the direction of the incident light is aligned with the vertical radius line 6 and the direction of the refracted light is aligned with the vertical radius line 10, the three horizontal lines 3, 7, 11 meet at one point. At the time of implementation , the template 1 is fixed to the water tank, and the movable templates are 5 and 9. (Fig. 4)

任意方向からの入射光に対し、その方向に垂直半径線6を合わせ、三水平線3,7,11を一点で交わるようにするとき、垂直半径線10は屈折光の進路を決定し表示する。When the vertical radial line 6 is aligned with the incident light from an arbitrary direction and the three horizontal lines 3, 7 and 11 intersect at one point, the vertical radial line 10 determines and displays the path of the refracted light.

課題を解決するための手段について、簡単に原理の説明を述べる。図4の核心部分を抽出した図5において、直角三角形18と、直角三角形19は共通な斜辺17を持つ、その長さを1とすると、入射光の角度15の正弦は線分8の長さに等しい、屈折光の角度16の正弦は線分12の長さに等しい。予め線分8と線分12の長さの比は屈折率に等しく設定されている。よって入射角の正弦を屈折角の正弦で割ったものは屈折率に等しい。スネルの原理と呼ばれている内容を端的に解決している。
直角三角形19を、図6の直角三角形20の位置に移動しても図形の本質は変わらない。入射光6に平行に直線13を、屈折光10に平行に直線14を引くことにより、図5図6では、例えば空気中で光が線分8の距離を進む時間に、水中の光は線分12の距離を進み、屈折現象が起きることを図6は明瞭に説明している。
The principle of the means for solving the problem will be briefly described. In FIG. 5 in which the core part of FIG. 4 is extracted, the right triangle 18 and the right triangle 19 have a common hypotenuse 17, and when the length is 1, the sine of the incident light at the angle 15 is the length of the line segment 8. Is equal to the length of the line segment 12. The length ratio between the line segment 8 and the line segment 12 is set in advance equal to the refractive index. Thus, the sine of the incident angle divided by the sine of the refraction angle is equal to the refractive index. It solves what is called Snell's principle.
Moving the right triangle 19 to the position of the right triangle 20 in FIG. 6 does not change the essence of the figure. By drawing a straight line 13 parallel to the incident light 6 and a straight line 14 parallel to the refracted light 10, in FIG. 5 and FIG. FIG. 6 clearly illustrates that the refraction phenomenon occurs as the distance of the minute 12 is advanced.

図7は請求項3に関する。テンプレート5を変更し図7のテンプレートにすれば、屈折率が直読出来る。図8は、屈折率が1.4と直読出来たときの例である。FIG. 7 relates to claim 3. If the template 5 is changed to the template shown in FIG. 7, the refractive index can be read directly. FIG. 8 shows an example when the refractive index can be directly read as 1.4.

図9のような装置に、図4のようにテンプレートを適用し、光の屈折がスネルの原理に従うことが理解でき、その原理によって光の進路が明確に示され、定性的な実験が、定量的な実験へと進化している。入射角を与えると、屈折角が即、図形上で決められるという優れた機能を持っている。一方、理科教育上、中学、高校での扱いになっていた光の屈折実験は光の進み方が水中では遅れることを教えることにすれば、小学校での理科教材にも適用可能といえる。図6は小学生でも理解可能な内容と考えられる。
入射光、屈折光の方向を回転可能なテンプレート上に決め、スネルの原理に従う入射角、屈折角を明快に決定する方法は、今までに見あたらない。
By applying the template as shown in FIG. 4 to the apparatus as shown in FIG. 9, it can be understood that the refraction of light follows Snell's principle, the light path is clearly shown by this principle, and the qualitative experiment Has evolved into a classic experiment. When the incident angle is given, the refraction angle can be immediately determined on the figure. On the other hand, the light refraction experiment, which was handled in junior high school and high school in science education, can be applied to science teaching materials in elementary school if it is taught that the light travels behind in water. FIG. 6 is considered to be understood by elementary school students.
A method for determining the incident angle and the refraction angle clearly according to Snell's principle by determining the directions of the incident light and the refraction light on a rotatable template has not been found so far.

入射光の入射角、屈折光の屈折角を測るための角度目盛り付きテンプレート  Template with angle scale for measuring incident angle of incident light and refraction angle of refracted light 入射光の入射方向に軸を合わせるテンプレート  Template that aligns the axis with the incident direction of incident light 屈折光の屈折方向に軸を合わせるテンプレート  Template that aligns the axis with the direction of refraction 三枚のテンプレートの中心を重ねてハトメで固定し、使用方法を説明する図  A diagram explaining how to use the three templates by overlapping the centers and fixing them with eyelets 入射角の正弦、屈折角の正弦、屈折率の関係を説明する図  Diagram explaining the relationship between sine of incident angle, sine of refraction angle, and refractive index 空気中の光の速度と、例えば水中の光の速度の差から屈折現象を説明する図  Diagram explaining the refraction phenomenon from the difference between the speed of light in the air and the speed of light in the water, for example 屈折率が直読出来るテンプレート  Refractive index can be read directly 例として、屈折率が1.4と判読出来たときの図  As an example, the figure when the refractive index can be read as 1.4 テンプレートを使用しているときの水槽、光源との関係の概略図  Schematic of relationship between aquarium and light source when using template

図9は発明の効果を説明する概略図であり、実施するための形態を図4で説明する。図4において、三枚重ねのテンプレートの重ねる順序は、図1のテンプレート1の下に、図2のテンプレート5、次に図3のテンプレート9のように重ねるのが望ましい。光源が用意された水槽に、テンプレート1の取手部分をテープ等で固定する。この場合水面の線は水平直径線3に一致して合わさなくてはならない。次に光源からの入射光の方向を決め、テンプレート5の垂直半径線6をその方向に合わせる。次にテンプレート9を回転させ、水平直径線3と水平線7の交点に、水平線11を交わらせ、三水平線3,7,11が一点で交わることを確認し、垂直半径線10の方向を見れば、屈折光の方向が垂直半径線10の方向に一致していることが確認出来る。
同様に、光源を下に設け、水の方から入射光をあて、水から空気への屈折光の実験も行なうことが出来る。特異な例として、予め垂直半径線6を水平直径線3に一致させ、テンプレート9を回転し、三水平線3,7,11が一点で交わるように決めるとき、垂直半径線10の方向を見れば、入射角は臨界屈折角を現している。
FIG. 9 is a schematic diagram for explaining the effect of the invention, and a mode for carrying out the invention will be described with reference to FIG. In FIG. 4, it is desirable that the three-layered templates are stacked in the order of the template 5 in FIG. 2 and the template 9 in FIG. 3 below the template 1 in FIG. A handle portion of the template 1 is fixed with a tape or the like in a water tank in which a light source is prepared. In this case, the water line must be aligned with the horizontal diameter line 3. Next, the direction of incident light from the light source is determined, and the vertical radius line 6 of the template 5 is aligned with that direction. Next, the template 9 is rotated, the horizontal line 11 is intersected at the intersection of the horizontal diameter line 3 and the horizontal line 7, and it is confirmed that the three horizontal lines 3, 7, 11 intersect at one point. It can be confirmed that the direction of the refracted light coincides with the direction of the vertical radius line 10.
Similarly, an experiment of refracted light from water to air can be performed by providing a light source underneath and applying incident light from water. As a specific example, when the vertical radius line 6 is matched with the horizontal diameter line 3 in advance, the template 9 is rotated, and it is determined that the three horizontal lines 3, 7, and 11 intersect at one point, the direction of the vertical radius line 10 can be seen. The incident angle represents the critical refraction angle.

1 入射光の入射角、屈折光の屈折角を測る目盛り付きテンプレート
2 入射光、屈折光の角度の測定の起点となる垂直直径線
3 入射光側、屈折光側を区別する境界水平線、水平直径線
4 入射光、屈折光の角度を測る目盛り線
5 入射光の方向に垂直半径線を合わせて用いるテンプレート
6 入射光の方向に合わせる垂直半径線
7 入射光側にあり、屈折原理に関係する垂直半径線に水平な直線、
8 長さが、空気中の光の速度に対応する線分
9 屈折光の方向に垂直半径線を合わせて用いるテンプレート
10 屈折光の方向に合わせる垂直半径線
11 屈折光側にあり、屈折原理に関係する垂直半径線に水平な直線
12 長さが、水中の光の速度に対応する線分(例、水の場合、線分8の0.75倍)
13 入射光の方向に平行な補助的付加直線
14 屈折光の方向に平行な補助的付加直線
15 入射角をあらわす
16 屈折角をあらわす
17 二つの直角三角形18、19の共通斜辺
18 入射光に関係する直角三角形
19 屈折光に関係する直角三角形
20 直角三角形19の位置を逆にした屈折光に関係する直角三角形
1 Scaled template for measuring incident angle of incident light and refracted light 2 Vertical diameter line as a starting point for measuring the angle of incident light and refracted light 3 Boundary horizontal line for distinguishing incident light side and refracted light side, horizontal diameter Line 4 Scale line for measuring the angle of incident light and refracted light 5 Template used by aligning the vertical radial line with the direction of incident light Vertical radius line 7 for aligning with the direction of incident light Vertical on the incident light side and related to the refraction principle A straight line that is horizontal to the radius line,
8 A line segment whose length corresponds to the speed of light in the air 9 A template that uses a vertical radial line that matches the direction of the refracted light 10 A vertical radial line that matches the direction of the refracted light 11 A straight line 12 that is horizontal to the vertical radius line concerned, and whose length corresponds to the speed of light in water (eg, 0.75 times the line 8 for water)
13 Auxiliary additional straight line 14 parallel to the direction of the incident light 14 Auxiliary additional straight line 15 parallel to the direction of the refracted light 15 Representing the incident angle 16 Representing the refraction angle 17 Common hypotenuse 18 of the two right triangles 18 and 19 The right triangle 19 related to the refracted light The right triangle related to the refracted light The right triangle related to the refracted light with the position of the right triangle 19 reversed.

Claims (3)

円形透明樹脂板に、水平直径線3を印刷し、取手を加工したテンプレート1と、
円形透明樹脂板に、垂直半径線6、中心から垂直半径線6の方向に設定された線分8の終点から引いた水平線7を印刷し、取手を加工したテンプレート5と、
円形透明樹脂板に、垂直半径線10、中心から垂直半径線10の延長上に設定された線分12の終点から引いた水平線11を印刷し、取手を加工したテンプレート9と、
を備え、
それら3枚のテンプレート1,5,9の中心に穴を施し、3枚重ねてハトメ等で固定し、それぞれのテンプレートが、自由に回転出来るようにするとともに、
テンプレート1の水平直径線3に対して、テンプレート5の垂直半径線6を入射光に合わせ、テンプレート9の垂直半径線10を屈折光の進路に合わせ、線分8と線分12の長さを設定することで、水平直径線3と水平線7と水平線11とを一点で交わらせることができる光の屈折実験用テンプレート。
Circular transparent resin plate, a horizontal diameter line 3 was printed, the template 1 processing the handle,
On the circular transparent resin plate, a vertical radius line 6, a horizontal line 7 drawn from an end point of a line segment 8 set in the direction of the vertical radius line 6 from the center, and a template 5 in which a handle is processed,
On the circular transparent resin plate, a template 9 in which a vertical radius line 10 and a horizontal line 11 drawn from an end point of a line segment 12 set on the extension of the vertical radius line 10 from the center are printed and a handle is processed ,
With
A hole is made in the center of these three templates 1, 5, 9, and the three templates are stacked and fixed with eyelets, etc., so that each template can rotate freely ,
With respect to the horizontal diameter line 3 of the template 1, the vertical radius line 6 of the template 5 is matched with the incident light, the vertical radius line 10 of the template 9 is matched with the path of the refracted light, and the lengths of the line segments 8 and 12 are set. A template for light refraction experiment that can set the horizontal diameter line 3, the horizontal line 7, and the horizontal line 11 to intersect at one point by setting .
テンプレート5の線分8と、テンプレート9の線分12の長さの比を、1対1/nに設定した請求項1に基づく光の屈折実験用テンプレート、但しnは屈折光側の物質の屈折率とする。2. A template for light refraction experiment according to claim 1, wherein the ratio of the length of the line segment 8 of the template 5 to the length of the line segment 12 of the template 9 is set to 1: 1 / n, where n is the refraction light side material. Refractive index. テンプレートの線分8と、テンプレート9の線分12の長さの比を、1対1/1.0、1対1/1.2、1対1/1.4、1対1/1.6、1対1/1.8、1対1/2.0に設定した6若しくはそれ以上の数の水平線を引い屈折率直読可能とした請求項1に基づく光の屈折実験用テンプレート。 The ratio of the length of the line segment 8 of the template 5 and the line segment 12 of the template 9 is 1: 1 / 1.0, 1: 1 / 1.2, 1: 1 / 1.4, 1: 1/1. .6, 1: 1 / 1.8, 1: 1/2. Six set to 0, or more numbers refractive experimental template of light based on claim 1 which enables the refractive index direct reading minus the horizon.
JP2015128099A 2015-06-09 2015-06-09 Light refraction experimental template Expired - Fee Related JP6582613B2 (en)

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US3962802A (en) * 1975-01-28 1976-06-15 Xerox Corporation Educational device
JPS62172243A (en) * 1986-01-27 1987-07-29 Stanley Electric Co Ltd Apparatus for non-contact measurement of refractive index
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