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Advanced Physics
A ray of light traveling horizontally through a liquid of index of refraction 1.56 hits a spherical air bubble (n = 1.000) of radius 2.9 cm, at distance h = 7.75 mm above the horizontal diameter of the bubble. Find the angle of refraction, in degrees, of the ray as it leaves the bubble.

A ray of light traveling horizontally through a liquid of index of refraction 1.56 hits a spherical air bubble (n = 1.000) of radius 2.9 cm, at distance h = 7.75 mm above the horizontal diameter of the bubble. Find the angle of refraction, in degrees, of the ray as it leaves the bubble.

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**Refraction Through a Spherical Air Bubble** *Refer to diagram 7.* A ray of light traveling horizontally through a liquid with an index of refraction of 1.56 hits a spherical air bubble (n = 1.000) with a radius of 2.9 cm. The light strikes the bubble at a distance \( h = 7.75 \) mm above the horizontal diameter of the bubble. Calculate the angle of refraction, in degrees, of the ray as it exits the bubble. **HINT:** Remember the theorems about circles and triangles!
Transcribed Image Text:**Refraction Through a Spherical Air Bubble** *Refer to diagram 7.* A ray of light traveling horizontally through a liquid with an index of refraction of 1.56 hits a spherical air bubble (n = 1.000) with a radius of 2.9 cm. The light strikes the bubble at a distance \( h = 7.75 \) mm above the horizontal diameter of the bubble. Calculate the angle of refraction, in degrees, of the ray as it exits the bubble. **HINT:** Remember the theorems about circles and triangles!
**Diagram 7 Explanation:** This diagram illustrates an interaction between a curved path and a circular boundary. The key elements are as follows: - **Background:** The entire diagram is set against a yellow rectangular background. - **Circle:** At the center of the diagram lies a white circle. This circle has a radius labeled as \( R \), which is depicted using a dashed line extending from the center to the boundary of the circle. - **Curved Path:** A black curved line passes over the circle. It appears to enter the circle from the left and exit on the right. The line displays directional movement with indicated arrows, showing a continuous flow from left to right. - **Height \( h \):** There is a vertical line segment labeled \( h \) connecting a point on the initial straight part of the curve to a parallel line below, indicating a distance or height measurement. - **Normal Line \( n \):** At the point where the curve first touches or becomes tangent to the circle, a line extends perpendicularly from the curve, marked as \( n \). This diagram is likely explaining a concept related to paths, curves, or geometry involving circular boundaries, and the associated measurements such as height, radius, and normal lines.
Transcribed Image Text:**Diagram 7 Explanation:** This diagram illustrates an interaction between a curved path and a circular boundary. The key elements are as follows: - **Background:** The entire diagram is set against a yellow rectangular background. - **Circle:** At the center of the diagram lies a white circle. This circle has a radius labeled as \( R \), which is depicted using a dashed line extending from the center to the boundary of the circle. - **Curved Path:** A black curved line passes over the circle. It appears to enter the circle from the left and exit on the right. The line displays directional movement with indicated arrows, showing a continuous flow from left to right. - **Height \( h \):** There is a vertical line segment labeled \( h \) connecting a point on the initial straight part of the curve to a parallel line below, indicating a distance or height measurement. - **Normal Line \( n \):** At the point where the curve first touches or becomes tangent to the circle, a line extends perpendicularly from the curve, marked as \( n \). This diagram is likely explaining a concept related to paths, curves, or geometry involving circular boundaries, and the associated measurements such as height, radius, and normal lines.
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