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|
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']
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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']
|
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] |
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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