id int64 0 999 | index int64 0 999 | question stringlengths 10 679 ⌀ | category stringclasses 6
values | subfield stringclasses 26
values | A stringlengths 4 107 | B stringlengths 4 93 | C stringlengths 4 116 | D stringlengths 4 93 | answer stringclasses 4
values | image stringlengths 6.78k 2.83M |
|---|---|---|---|---|---|---|---|---|---|---|
0 | 0 | Determine the angles\( \theta' \). | Optics | Geometrical Optics | A: \( 28.5^{\circ} \) | B: \( 30.4^{\circ} \) | C: \( 22.3^{\circ} \) | D: \( 31.1^{\circ} \) | C | iVBORw0KGgoAAAANSUhEUgAAAToAAAEECAIAAAA3UG/WAACd9UlEQVR4nOy9B7xcZ3km/rVT50y7/apbkmW5d7l3Y2Nseg+YEEjYbCDkH0hI2zQ22V2STbJpLGxIAUI3xmCwwWAb3GRLtpotq3dd3T799K/8f+935l5dybKxZBUkzePx0dy5c2dOe7+3Py9WSqGTFjFC4wphjIqIu7xOeAvJBCEDUVdZPU1FYgm/9TCyUYriBuIJyvUgbJzoHe+ggyMBQyczMEIGRgQhAv8ZiJognchExIRjw0i0f4uQQghTRBn8TQcdnJw4ucWVIpTT... |
1 | 1 | Find the angle of refraction \( \theta_2 \) if the second medium is water. | Optics | Geometrical Optics | A: \( 22.7^{\circ} \) | B: \( 31.4^{\circ} \) | C: \( 32.0^{\circ} \) | D: \( 33.5^{\circ} \) | C | iVBORw0KGgoAAAANSUhEUgAAARoAAADICAIAAAC4ULl9AABvsklEQVR4nO29B5wkZZk//qbK1bkn7MzmBTaRw0qUHERAgop6Knqn3ukJ5+kd5jt/d+fpneH0rxhAQJSkhyA5h2WBJW0gbWJzmJ3QubvyG/6ft6pnWJCwy23e/lKfoqent6e7qp56nvcJ3y8UQoDdBgwAFwABAASAAIAFwIAjICDg8XNAPg3lC9joP8Gjv9jNIYSglCKEMMYAAEophDB53MFeAwR2M2AhP1NiJAgCCGNjae9f+7R7hAlticR4hBCccyEEhDAxsF39uTrY... |
2 | 2 | Determine the distance the reflected light beam travels before striking mirror 2. | Optics | Geometrical Optics | A: \( 1.30 \text{ m} \) | B: \( 3.34 \text{ m} \) | C: \( 1.94 \text{ m} \) | D: \( 2.08 \text{ m} \) | C | "iVBORw0KGgoAAAANSUhEUgAAAWgAAAFSCAIAAABQZtJJAAEAAElEQVR4nOy9B7wkV3UnfFPFzi+/N1EaBRQRICEQOSdjHDA2Bhv(...TRUNCATED) |
3 | 3 | Find the time interval required for the light to pass through the glass block. | Optics | Geometrical Optics | A: \( 1.33\times 10^{-10} \text{ s} \) | B: \( 2.06\times 10^{-10} \text{ s} \) | C: \( 1.06\times 10^{-10} \text{ s} \) | D: \( 1.92\times 10^{-10} \text{ s} \) | C | "iVBORw0KGgoAAAANSUhEUgAAATYAAAFICAIAAABV9kVPAACwb0lEQVR4nOy9B7hkZZUuvL60U8UTO3fTTQ5NjgKCIEEQTJjzOOn(...TRUNCATED) |
4 | 4 | Determine the depth of the tumor. | Optics | Geometrical Optics | A: \( 8.50 \text{ cm} \) | B: \( 4.90 \text{ cm} \) | C: \( 6.30 \text{ cm} \) | D: \( 10.80 \text{ cm} \) | C | "iVBORw0KGgoAAAANSUhEUgAAASwAAAEcCAIAAADyZR6PAAC8iElEQVR4nOx9BZhd1bn2t2T70fFMnASH4MWhLZSWKi0Ublsot67(...TRUNCATED) |
5 | 5 | "For what range of values of \\( n \\) will the center of the coin not be visible for any values of (...TRUNCATED) | Optics | Geometrical Optics | A: \( n>2.5 \) | B: \( n>1.5 \) | C: \( n>2 \) | D: \( n>5 \) | C | "iVBORw0KGgoAAAANSUhEUgAAAQgAAAEICAIAAAAslP2oAAB36ElEQVR4nO29B5xcV3U/fm55dcrOdq16tWTLcu8N2/RmOiG0kFB(...TRUNCATED) |
6 | 6 | Find the index of refraction of the prism. | Optics | Geometrical Optics | A: 1.09 | B: 1.38 | C: 1.22 | D: 1.45 | C | "iVBORw0KGgoAAAANSUhEUgAAAXoAAAECCAIAAAB/s4trAACI8klEQVR4nO39B5gdV3oeCJ9U8aYOABoZIAAiZ+Y4Q1IczmiUgxV(...TRUNCATED) |
7 | 7 | "Find the angle of incidence \\( \\theta_1 \\) in the air that would result in the reflected ray and(...TRUNCATED) | Optics | Geometrical Optics | A: \( \cos^{-1}(n_g) \) | B: \( \sin^{-1}(n_g) \) | C: \( \tan^{-1}(n_g) \) | D: \( \cot^{-1}(n_g) \) | C | "iVBORw0KGgoAAAANSUhEUgAAAUAAAAE6CAIAAADoSxxaAACjpElEQVR4nOx9B5hkVZn2d865+VbqPDmSkwOSg4hIEhBRQBAVMa9(...TRUNCATED) |
8 | 8 | "What is the angular spread of visible light passing through a prism of apex angle \\( 60.0^\\circ \(...TRUNCATED) | Optics | Geometrical Optics | A: \( 4.37^\circ \) | B: \( 8.74^\circ \) | C: \( 4.61^\circ \) | D: \( 2.11^\circ \) | C | "iVBORw0KGgoAAAANSUhEUgAAAnwAAAFQCAIAAACqCTTRAAEAAElEQVR4nOx9B7gkVZn2d86p3Ln75skRhjikGXJUMSDJgMsaVlf(...TRUNCATED) |
9 | 9 | "What is the smallest angle of incidence \\( \\theta_1 \\) for which a light ray can emerge from the(...TRUNCATED) | Optics | Geometrical Optics | A: \( 24.6^\circ \) | B: \( 29.1^\circ \) | C: \( 27.9^\circ \) | D: \( 21.5^\circ \) | C | "iVBORw0KGgoAAAANSUhEUgAAATYAAADSCAIAAABPfHveAACRuklEQVR4nO39B5gk2VUnil8XNn35qq5qPz093snMyA4jhJCQYRE(...TRUNCATED) |
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