index int64 0 999 | image stringlengths 4.4k 871k | question stringlengths 106 1.87k | answer stringlengths 1 111 | category stringclasses 6
values | subfield stringclasses 26
values | reasoning_type stringclasses 20
values | embedding listlengths 4.1k 4.1k |
|---|---|---|---|---|---|---|---|
0 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAEEAToDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | Figure shows a refracted light beam in linseed oil making an angle of \( \phi = 20.0^{\circ} \) with the normal line \( NN' \). The index of refraction of linseed oil is 1.48. Determine the angles\( \theta' \). Please answer the question with step by step reasoning. | \( 22.3^{\circ} \) | Optics | Geometrical Optics | ['Physical Model Grounding Reasoning', 'Spatial Relation Reasoning'] | [
-0.0225830078125,
0.002899169921875,
0.021484375,
-0.020751953125,
0.00421142578125,
-0.00077056884765625,
0.0025787353515625,
-0.024169921875,
-0.01190185546875,
0.003143310546875,
-0.029296875,
0.0174560546875,
0.007171630859375,
-0.006378173828125,
0.00421142578125,
0.0177001953125,... |
1 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCADIARoDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | A ray of light travels into another medium, making an angle of \( \theta_1 = 45.0^{\circ} \) with the normal as in figure. Find the angle of refraction \( \theta_2 \) if the second medium is water. Please answer the question with step by step reasoning. | \( 32.0^{\circ} \) | Optics | Geometrical Optics | ['Physical Model Grounding Reasoning', 'Spatial Relation Reasoning'] | [
-0.01177978515625,
0.0059814453125,
-0.00653076171875,
-0.0028533935546875,
0.0035552978515625,
0.0145263671875,
0.0172119140625,
-0.030029296875,
-0.010498046875,
0.01385498046875,
-0.026123046875,
0.018310546875,
-0.0010528564453125,
0.0155029296875,
-0.00110626220703125,
0.021240234... |
2 | "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDA(...TRUNCATED) | "The two mirrors illustrated in figure meet at a right angle. The beam of light in the vertical plan(...TRUNCATED) | \( 1.94 \text{ m} \) | Optics | Geometrical Optics | ['Spatial Relation Reasoning', 'Physical Model Grounding Reasoning'] | [0.00138092041015625,0.03076171875,-0.017578125,-0.0135498046875,0.01019287109375,-0.019775390625,0.(...TRUNCATED) |
3 | "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDA(...TRUNCATED) | "When the light ray illustrated in figure passes through the glass block of index of refraction \\( (...TRUNCATED) | \( 1.06\times 10^{-10} \text{ s} \) | Optics | Geometrical Optics | ['Physical Model Grounding Reasoning', 'Spatial Relation Reasoning'] | [-0.00118255615234375,-0.02490234375,-0.01409912109375,-0.01092529296875,0.033203125,-0.004302978515(...TRUNCATED) |
4 | "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDA(...TRUNCATED) | "A narrow beam of ultrasonic waves reflects off the liver tumor illustrated in figure. The speed of (...TRUNCATED) | \( 6.30 \text{ cm} \) | Optics | Geometrical Optics | ['Spatial Relation Reasoning', 'Physical Model Grounding Reasoning'] | [0.003875732421875,0.01324462890625,-0.009521484375,-0.031982421875,0.002349853515625,-0.00058746337(...TRUNCATED) |
5 | "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDA(...TRUNCATED) | "A person looking into an empty container as shown in figure. When the container is completely fille(...TRUNCATED) | \( n>2 \) | Optics | Geometrical Optics | ['Physical Model Grounding Reasoning', 'Spatial Relation Reasoning'] | [0.0015716552734375,-0.007476806640625,-0.009033203125,-0.0198974609375,-0.0172119140625,0.002075195(...TRUNCATED) |
6 | "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDA(...TRUNCATED) | "A laser beam is incident on a prism perpendicular to one of its faces as shown in figure. The trans(...TRUNCATED) | 1.22 | Optics | Geometrical Optics | ['Physical Model Grounding Reasoning', 'Spatial Relation Reasoning'] | [-0.0084228515625,-0.003936767578125,0.01153564453125,-0.0201416015625,0.024169921875,0.0224609375,0(...TRUNCATED) |
7 | "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDA(...TRUNCATED) | "A beam of light both reflects and refracts at the surface between air and glass as shown in figure.(...TRUNCATED) | \( \tan^{-1}(n_g) \) | Optics | Geometrical Optics | ['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning'] | [-0.0341796875,0.020263671875,0.007415771484375,-0.006072998046875,0.00775146484375,-0.00439453125,0(...TRUNCATED) |
8 | "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDA(...TRUNCATED) | "The index of refraction for violet light in silica flint glass is 1.66, and that for red light is 1(...TRUNCATED) | \( 4.61^\circ \) | Optics | Geometrical Optics | ['Physical Model Grounding Reasoning', 'Spatial Relation Reasoning'] | [-0.01904296875,-0.00689697265625,-0.00274658203125,-0.012451171875,0.004974365234375,-0.00030326843(...TRUNCATED) |
9 | "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDA(...TRUNCATED) | "A triangular glass prism with apex angle \\( \\Phi = 60.0^\\circ \\) has an index of refraction \\((...TRUNCATED) | \( 27.9^\circ \) | Optics | Geometrical Optics | ['Physical Model Grounding Reasoning', 'Spatial Relation Reasoning'] | [-0.017578125,0.0037841796875,0.00125885009765625,-0.01373291015625,0.00128936767578125,0.0113525390(...TRUNCATED) |
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