index int64 0 999 | image stringlengths 4.4k 871k | question stringlengths 189 2.04k | answer stringclasses 4
values | 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 directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: \... | C | Optics | Geometrical Optics | ['Physical Model Grounding Reasoning', 'Spatial Relation Reasoning'] | [
0.000812530517578125,
0.01318359375,
0.00015926361083984375,
-0.0155029296875,
-0.00054168701171875,
0.01251220703125,
-0.0162353515625,
-0.007537841796875,
-0.030029296875,
0.0137939453125,
-0.01446533203125,
0.02734375,
-0.0030364990234375,
0.0087890625,
0.017822265625,
0.01770019531... |
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 directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: \( 22.7^{\circ... | C | Optics | Geometrical Optics | ['Physical Model Grounding Reasoning', 'Spatial Relation Reasoning'] | [
0.00127410888671875,
0.00762939453125,
-0.0087890625,
0.005279541015625,
-0.003692626953125,
0.02587890625,
-0.0255126953125,
-0.005096435546875,
-0.0234375,
0.0172119140625,
-0.01806640625,
0.0301513671875,
-0.0106201171875,
0.016357421875,
0.020751953125,
0.012451171875,
-0.0307617... |
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) | C | Optics | Geometrical Optics | ['Spatial Relation Reasoning', 'Physical Model Grounding Reasoning'] | [0.01318359375,0.0147705078125,-0.00897216796875,-0.0213623046875,0.001678466796875,-0.0090942382812(...TRUNCATED) |
3 | "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDA(...TRUNCATED) | "When the light ray illustrated in figure passes through the glass block of index of refraction \\( (...TRUNCATED) | C | Optics | Geometrical Optics | ['Physical Model Grounding Reasoning', 'Spatial Relation Reasoning'] | [0.01202392578125,-0.018798828125,-0.0137939453125,-0.00836181640625,0.01806640625,0.02294921875,0.0(...TRUNCATED) |
4 | "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDA(...TRUNCATED) | "A narrow beam of ultrasonic waves reflects off the liver tumor illustrated in figure. The speed of (...TRUNCATED) | C | Optics | Geometrical Optics | ['Spatial Relation Reasoning', 'Physical Model Grounding Reasoning'] | [0.0294189453125,0.004547119140625,-0.015625,-0.033203125,-0.0133056640625,0.0096435546875,-0.009704(...TRUNCATED) |
5 | "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDA(...TRUNCATED) | "A person looking into an empty container as shown in figure. When the container is completely fille(...TRUNCATED) | C | Optics | Geometrical Optics | ['Physical Model Grounding Reasoning', 'Spatial Relation Reasoning'] | [0.0157470703125,-0.00872802734375,-0.02392578125,-0.0093994140625,-0.025390625,0.015625,0.008056640(...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) | C | Optics | Geometrical Optics | ['Physical Model Grounding Reasoning', 'Spatial Relation Reasoning'] | [0.0126953125,0.0150146484375,-0.006744384765625,-0.0126953125,0.01123046875,0.0166015625,-0.0172119(...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) | C | Optics | Geometrical Optics | ['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning'] | [-0.003997802734375,0.02978515625,0.0022125244140625,-0.00469970703125,-0.0179443359375,-0.009277343(...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) | C | Optics | Geometrical Optics | ['Physical Model Grounding Reasoning', 'Spatial Relation Reasoning'] | [0.01214599609375,0.00110626220703125,-0.00335693359375,-0.011474609375,-0.01055908203125,0.02783203(...TRUNCATED) |
9 | "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDA(...TRUNCATED) | "A triangular glass prism with apex angle \\( \\Phi = 60.0^\\circ \\) has an index of refraction \\((...TRUNCATED) | C | Optics | Geometrical Optics | ['Physical Model Grounding Reasoning', 'Spatial Relation Reasoning'] | [-0.0057373046875,0.000545501708984375,-0.0030975341796875,-0.01336669921875,0.0206298828125,0.02099(...TRUNCATED) |
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