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+{"segments": [{"id": 1, "seek": 1836, "start": 0.52, "end": 18.36, "text": "بسم الله الرحمن الرحيم، بنستكمل مع محاضرات الـ Geometric Optics، واتوقفنا عند الـ Central Ray for Mirrors، أو الشعاع الرئيسي للمرايا، The Central Ray for Mirrors is just as useful as the Central Ray for Lenses.", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 12399, 44945, 14851, 24793, 1211, 20449, 3714, 5016, 46958, 2288, 9307, 2423, 39184, 2876, 29470, 21455, 1167, 12399, 4032, 9307, 30543, 5172, 8315, 43242, 2423, 39184, 9701, 10883, 337, 9421, 9734, 12399, 34051, 25124, 3615, 45761, 34892, 19986, 1829, 3794, 1829, 5296, 19528, 23557, 25528, 12399, 440, 9701, 10883, 337, 9421, 9734, 307, 445, 382, 4420, 382, 264, 9701, 10883, 337, 441, 9085, 13], "avg_logprob": -0.18243242739825635, "compression_ratio": 1.469387755102041, "no_speech_prob": 1.0967254638671875e-05, "words": [{"start": 0.52, "end": 0.8, "word": "بسم", "probability": 0.6214599609375}, {"start": 0.8, "end": 0.94, "word": 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The central ray is any ray from any point that enters the center of the curvature, not in the focus. 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This is called a central rail because it enters the center. It enters the center of the woman's sphere. 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U plus P equals V. 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"متشتت عن بعضها البعض بمقدار تشتتية مقدارها واحد", "tokens": [2304, 2655, 8592, 2655, 2655, 18871, 45030, 11242, 11296, 29739, 3615, 11242, 4724, 2304, 28543, 9640, 6055, 8592, 2655, 2655, 10632, 3714, 28543, 9640, 11296, 36764, 24401], "avg_logprob": -0.2518136182001659, "compression_ratio": 1.2253521126760563, "no_speech_prob": 5.364418029785156e-07, "words": [{"start": 469.58000000000004, "end": 470.98, "word": "متشتت", "probability": 0.71529541015625}, {"start": 470.98, "end": 471.18, "word": " عن", "probability": 0.131103515625}, {"start": 471.18, "end": 471.94, "word": " بعضها", "probability": 0.9949544270833334}, {"start": 471.94, "end": 473.32, "word": " البعض", "probability": 0.9944661458333334}, {"start": 473.32, "end": 474.98, "word": " بمقدار", "probability": 0.9393310546875}, {"start": 474.98, "end": 475.74, "word": " تشتتية", "probability": 0.95615234375}, {"start": 475.74, "end": 476.32, "word": " مقدارها", "probability": 0.9461669921875}, {"start": 476.32, "end": 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Divergent. Let's see where the image is. 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also another rule derived from this rule We write it so that we do not forget to say plane mirrors create real image", "tokens": [259, 264, 5720, 8013, 2656, 331, 6930, 337, 1365, 294, 264, 2372, 295, 1804, 568, 281, 5031, 309, 2656, 331, 6930, 294, 264, 2372, 295, 1804, 568, 467, 486, 9662, 3488, 6051, 11514, 294, 264, 23448, 16073, 1785, 295, 1442, 407, 264, 6374, 2657, 1692, 307, 611, 1071, 4978, 18949, 490, 341, 4978, 492, 2464, 309, 370, 300, 321, 360, 406, 2870, 281, 584, 5720, 24238, 1884, 957, 3256], "avg_logprob": -0.5281250136239188, "compression_ratio": 1.6954314720812182, "no_speech_prob": 1.6868114471435547e-05, "words": [{"start": 738.45, "end": 738.69, "word": "in", "probability": 0.342041015625}, {"start": 738.69, "end": 738.99, "word": " the", "probability": 0.29833984375}, {"start": 738.99, "end": 739.25, "word": " plane", "probability": 0.419189453125}, {"start": 739.25, "end": 739.63, "word": " mirror", "probability": 0.81103515625}, {"start": 739.63, "end": 740.55, 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The concave mirror adds positive divergence to incident light. It therefore has positive or converging power. If parallel rays strike the mirror, they reflect and converge toward a point halfway to the center of curvature. 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concave mirror here is the concave mirror, I want parallel rays", "tokens": [6703, 286, 362, 264, 8013, 11, 286, 528, 16476, 10346, 510, 286, 362, 416, 50126, 8013, 510, 307, 264, 416, 50126, 8013, 11, 286, 528, 8952, 24417], "avg_logprob": -0.49776785501411985, "compression_ratio": 1.451219512195122, "no_speech_prob": 0.0, "words": [{"start": 992.52, "end": 992.78, "word": "here", "probability": 0.047393798828125}, {"start": 992.78, "end": 992.94, "word": " I", "probability": 0.68017578125}, {"start": 992.94, "end": 993.18, "word": " have", "probability": 0.8408203125}, {"start": 993.18, "end": 993.36, "word": " the", "probability": 0.32080078125}, {"start": 993.36, "end": 993.6, "word": " mirror,", "probability": 0.7724609375}, {"start": 993.82, "end": 993.82, "word": " I", "probability": 0.73291015625}, {"start": 993.82, "end": 994.02, "word": " want", "probability": 0.59521484375}, {"start": 994.02, "end": 995.16, "word": " circular", "probability": 0.4580078125}, {"start": 995.16, 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So, the focal point F of a concave mirror is not unique, it's not a unique one, it's not similar to it. Why is it not unique? Because for any central ray it can serve as an optical axis. 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1347.45, "end": 1347.59, "word": " we", "probability": 0.8115234375}, {"start": 1347.59, "end": 1347.59, "word": " have", "probability": 0.50390625}, {"start": 1347.59, "end": 1347.93, "word": " Bengal", "probability": 0.568359375}], "temperature": 1.0}, {"id": 57, "seek": 138095, "start": 1351.85, "end": 1380.95, "text": "The anterior and posterior focal points of a concave mirror are in exactly the same space or the same place. As an example, let's assume that we have an object 1 meter away to the left of a concave mirror with a curvature radius of half a centimeter. Where is the image? Let's look at the divergence calculation. 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The focal length is 500mm, which is 50cm. Now we need a point source of light to represent the object.", "tokens": [37, 36483, 441, 4206, 307, 257, 8013, 11, 406, 257, 3175, 40116, 82, 11, 309, 311, 257, 416, 50126, 8013, 13, 440, 26592, 4641, 307, 5923, 2174, 11, 597, 307, 2625, 15210, 13, 823, 321, 643, 257, 935, 4009, 295, 1442, 281, 2906, 264, 2657, 13], "avg_logprob": -0.6329787183315196, "compression_ratio": 1.310077519379845, "no_speech_prob": 3.170967102050781e-05, "words": [{"start": 1615.66, "end": 1616.28, "word": "Focal", "probability": 0.6339111328125}, {"start": 1616.28, "end": 1616.64, "word": " Length", "probability": 0.6531982421875}, {"start": 1616.64, "end": 1619.88, "word": " is", "probability": 0.1727294921875}, {"start": 1619.88, "end": 1619.88, "word": " a", "probability": 0.297607421875}, {"start": 1619.88, "end": 1620.22, "word": " mirror,", "probability": 0.52978515625}, {"start": 1620.38, "end": 1620.46, "word": " not", "probability": 0.62841796875}, {"start": 1620.46, "end": 1620.58, "word": " a", "probability": 0.67822265625}, {"start": 1620.58, "end": 1621.22, "word": " minus", "probability": 0.4423828125}, {"start": 1621.22, "end": 1621.88, "word": " lens,", "probability": 0.49462890625}, {"start": 1622.48, "end": 1622.48, "word": " it's", "probability": 0.3516845703125}, {"start": 1622.48, "end": 1622.84, "word": " a", "probability": 0.6708984375}, {"start": 1622.84, "end": 1623.42, "word": " concave", "probability": 0.7900390625}, {"start": 1623.42, "end": 1623.52, "word": " mirror.", "probability": 0.8662109375}, {"start": 1623.52, "end": 1623.72, "word": " The", "probability": 0.2861328125}, {"start": 1623.72, "end": 1624.42, "word": " focal", "probability": 0.87451171875}, {"start": 1624.42, "end": 1624.76, "word": " length", "probability": 0.8359375}, {"start": 1624.76, "end": 1624.98, "word": " is", "probability": 0.74169921875}, {"start": 1624.98, "end": 1625.9, "word": " 500mm,", "probability": 0.6070556640625}, {"start": 1626.04, "end": 1626.12, "word": " which", "probability": 0.33544921875}, {"start": 1626.12, "end": 1626.12, "word": " is", "probability": 0.70068359375}, {"start": 1626.12, "end": 1627.06, "word": " 50cm.", "probability": 0.651123046875}, {"start": 1629.98, "end": 1630.7, "word": " Now", "probability": 0.298828125}, {"start": 1630.7, "end": 1630.84, "word": " we", "probability": 0.398681640625}, {"start": 1630.84, "end": 1630.98, "word": " need", "probability": 0.666015625}, {"start": 1630.98, "end": 1631.12, "word": " a", "probability": 0.44140625}, {"start": 1631.12, "end": 1631.32, "word": " point", "probability": 0.78076171875}, {"start": 1631.32, "end": 1631.76, "word": " source", "probability": 0.86083984375}, {"start": 1631.76, "end": 1632.04, "word": " of", "probability": 0.96240234375}, {"start": 1632.04, "end": 1632.46, "word": " light", "probability": 0.9013671875}, {"start": 1632.46, "end": 1633.1, "word": " to", "probability": 0.71533203125}, {"start": 1633.1, "end": 1633.78, "word": " represent", "probability": 0.64208984375}, {"start": 1633.78, "end": 1634.08, "word": " the", "probability": 0.7275390625}, {"start": 1634.08, "end": 1634.62, "word": " object.", "probability": 0.94384765625}], "temperature": 1.0}, {"id": 68, "seek": 166791, "start": 1643.83, "end": 1667.91, "text": "It should be the point source of light at a distance of one meter. So, we use the ruler. We use the ruler.", "tokens": [3522, 820, 312, 264, 935, 4009, 295, 1442, 412, 257, 4560, 295, 472, 9255, 13, 407, 11, 321, 764, 264, 19661, 13, 492, 764, 264, 19661, 13], "avg_logprob": -0.4969307758978435, "compression_ratio": 1.2619047619047619, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1643.83, "end": 1644.01, "word": "It", "probability": 0.157470703125}, {"start": 1644.01, "end": 1644.21, "word": " should", "probability": 0.51806640625}, {"start": 1644.21, "end": 1644.41, "word": " be", "probability": 0.87109375}, {"start": 1644.41, "end": 1644.57, "word": " the", "probability": 0.2783203125}, {"start": 1644.57, "end": 1644.83, "word": " point", "probability": 0.8671875}, {"start": 1644.83, "end": 1645.17, "word": " source", "probability": 0.78515625}, {"start": 1645.17, "end": 1645.41, "word": " of", "probability": 0.96484375}, {"start": 1645.41, "end": 1645.75, "word": " light", "probability": 0.873046875}, {"start": 1645.75, "end": 1646.01, "word": " at", 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1.0}, {"id": 70, "seek": 172983, "start": 1704.17, "end": 1729.83, "text": "on a meter distance, the apparent force is F F, but we want R 500 milli R double F, so here F should be 250 natural, here the situation is better let's see", "tokens": [266, 257, 9255, 4560, 11, 264, 18335, 3464, 307, 479, 479, 11, 457, 321, 528, 497, 5923, 26176, 497, 3834, 479, 11, 370, 510, 479, 820, 312, 11650, 3303, 11, 510, 264, 2590, 307, 1101, 718, 311, 536], "avg_logprob": -0.7183493773142496, "compression_ratio": 1.2601626016260163, "no_speech_prob": 8.52346420288086e-06, "words": [{"start": 1704.17, "end": 1704.45, "word": "on", "probability": 0.2196044921875}, {"start": 1704.45, "end": 1704.83, "word": " a", "probability": 0.338623046875}, {"start": 1704.83, "end": 1705.01, "word": " meter", "probability": 0.5791015625}, {"start": 1705.01, "end": 1705.01, "word": " distance,", "probability": 0.177978515625}, {"start": 1705.21, "end": 1705.35, "word": " the", "probability": 0.301513671875}, {"start": 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Also for the convex mirror, the anterior and posterior focal points are adjacent to each other, but behind the mirror in the focal or virtual space.", "tokens": [2278, 22272, 293, 33529, 26592, 2793, 597, 13001, 482, 13, 2743, 337, 264, 42432, 8013, 11, 264, 22272, 293, 33529, 26592, 2793, 366, 24441, 281, 1184, 661, 11, 457, 2261, 264, 8013, 294, 264, 26592, 420, 6374, 1901, 13], "avg_logprob": -0.36601561680436134, "compression_ratio": 1.6585365853658536, "no_speech_prob": 9.5367431640625e-07, "words": [{"start": 1911.46, "end": 1911.68, "word": "The", "probability": 0.5810546875}, {"start": 1911.68, "end": 1912.14, "word": " anterior", "probability": 0.94921875}, {"start": 1912.14, "end": 1912.48, "word": " and", "probability": 0.9482421875}, {"start": 1912.48, "end": 1912.94, "word": " posterior", "probability": 0.8193359375}, {"start": 1912.94, "end": 1913.42, "word": " focal", "probability": 0.90869140625}, {"start": 1913.42, "end": 1913.98, "word": " points", "probability": 0.91748046875}, {"start": 1913.98, "end": 1915.08, "word": " which", "probability": 0.6865234375}, {"start": 1915.08, "end": 1915.9, "word": " coincide.", "probability": 0.9248046875}, {"start": 1916.0, "end": 1916.52, "word": " Also", "probability": 0.436767578125}, {"start": 1916.52, "end": 1916.84, "word": " for", "probability": 0.408447265625}, {"start": 1916.84, "end": 1917.14, "word": " the", "probability": 0.47119140625}, {"start": 1917.14, "end": 1917.5, "word": " convex", "probability": 0.84521484375}, {"start": 1917.5, "end": 1917.82, "word": " mirror,", "probability": 0.779296875}, {"start": 1917.94, "end": 1918.0, "word": " the", "probability": 0.70751953125}, {"start": 1918.0, "end": 1918.42, "word": " anterior", "probability": 0.90234375}, {"start": 1918.42, "end": 1918.64, "word": " and", "probability": 0.93310546875}, {"start": 1918.64, "end": 1919.1, "word": " posterior", "probability": 0.8740234375}, {"start": 1919.1, "end": 1919.74, "word": " focal", "probability": 0.8408203125}, {"start": 1919.74, "end": 1920.18, "word": " points", "probability": 0.92529296875}, {"start": 1920.18, "end": 1920.64, "word": " are", "probability": 0.53515625}, {"start": 1920.64, "end": 1921.06, "word": " adjacent", "probability": 0.19384765625}, {"start": 1921.06, "end": 1921.38, "word": " to", "probability": 0.7646484375}, {"start": 1921.38, "end": 1921.7, "word": " each", "probability": 0.921875}, {"start": 1921.7, "end": 1921.74, "word": " other,", "probability": 0.8974609375}, {"start": 1921.82, "end": 1921.94, "word": " but", "probability": 0.78515625}, {"start": 1921.94, "end": 1922.66, "word": " behind", "probability": 0.55126953125}, {"start": 1922.66, "end": 1922.94, "word": " the", "probability": 0.869140625}, {"start": 1922.94, "end": 1923.22, "word": " mirror", "probability": 0.6396484375}, {"start": 1923.22, "end": 1923.42, "word": " in", "probability": 0.7587890625}, {"start": 1923.42, "end": 1923.56, "word": " the", "probability": 0.8515625}, {"start": 1923.56, "end": 1923.9, "word": " focal", "probability": 0.4033203125}, {"start": 1923.9, "end": 1924.92, "word": " or", "probability": 0.5751953125}, {"start": 1924.92, "end": 1925.46, "word": " virtual", "probability": 0.7451171875}, {"start": 1925.46, "end": 1926.84, "word": " space.", "probability": 0.8583984375}], "temperature": 1.0}, {"id": 79, "seek": 195016, "start": 1928.24, "end": 1950.16, "text": "Virtual focal points. Virtual means that they will not get light at all. Because they will be reflected from the surface of the mirror. They are located halfway between the surface of the mirror and the center of curvature. They are located halfway between the surface of the mirror and the center of curvature.", "tokens": [53, 2498, 901, 26592, 2793, 13, 23887, 1355, 300, 436, 486, 406, 483, 1442, 412, 439, 13, 1436, 436, 486, 312, 15502, 490, 264, 3753, 295, 264, 8013, 13, 814, 366, 6870, 15461, 1296, 264, 3753, 295, 264, 8013, 293, 264, 3056, 295, 37638, 13, 814, 366, 6870, 15461, 1296, 264, 3753, 295, 264, 8013, 293, 264, 3056, 295, 37638, 13], "avg_logprob": -0.4178427496264058, "compression_ratio": 2.1448275862068966, "no_speech_prob": 1.7821788787841797e-05, "words": [{"start": 1928.24, "end": 1928.78, "word": "Virtual", "probability": 0.6971028645833334}, {"start": 1928.78, "end": 1929.12, "word": " focal", "probability": 0.77880859375}, {"start": 1929.12, "end": 1929.66, "word": " points.", "probability": 0.90625}, {"start": 1929.9, "end": 1930.44, "word": " Virtual", "probability": 0.3515625}, {"start": 1930.44, "end": 1930.86, "word": " means", "probability": 0.29345703125}, {"start": 1930.86, 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The u value is minus one diopter. 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