A light ray strikes a 10-cm-thick glass pane, making a 30° angle to the perpendicular to the glass as it enters. When the ray reemerges into air on the other side of the pane, how much has it been displaced from where it would have been if the glass weren't there (this is the distance d indicated in the figure below)?

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Chapter1: Units, Trigonometry. And Vectors
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A light ray strikes a 10-cm-thick glass pane, making a 30° angle to the perpendicular to the glass as it enters.  When the ray reemerges into air on the other side of the pane, how much has it been displaced from where it would have been if the glass weren't there (this is the distance d indicated in the figure below)?

The diagram illustrates the refraction of light as it passes through a glass slab. The setup is as follows:

- A light ray enters the glass slab from the air at an angle of incidence \( \theta_1 = 30^\circ \).
- The glass slab is rectangular with a width of 10 cm.
- As the light exits the glass, it refracts back into the air.
- The displacement of the emergent ray from the original path in the air is denoted as \( d \), the value of which is unknown and marked with "d = ?".

The diagram includes arrows showing the path of the light ray as it enters and exits the glass. The change in direction at the interfaces indicates the refraction occurring due to the change in medium. The light rays are depicted as solid lines, while the extensions of the incident ray are shown as dashed lines to illustrate the path had there been no refraction.
Transcribed Image Text:The diagram illustrates the refraction of light as it passes through a glass slab. The setup is as follows: - A light ray enters the glass slab from the air at an angle of incidence \( \theta_1 = 30^\circ \). - The glass slab is rectangular with a width of 10 cm. - As the light exits the glass, it refracts back into the air. - The displacement of the emergent ray from the original path in the air is denoted as \( d \), the value of which is unknown and marked with "d = ?". The diagram includes arrows showing the path of the light ray as it enters and exits the glass. The change in direction at the interfaces indicates the refraction occurring due to the change in medium. The light rays are depicted as solid lines, while the extensions of the incident ray are shown as dashed lines to illustrate the path had there been no refraction.
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