Question:
If \( r_1 \) and \( r_2 \) are the angles of refraction at the first face and second face of a prism, then the angle of the prism is:
If \( r_1 \) and \( r_2 \) are the angles of refraction at the first face and second face of a prism, then the angle of the prism is:
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In a prism, the total angle of the prism is equal to the sum of the angles of refraction at the two faces. This is a key concept for solving problems involving prisms.
Updated On: Dec 30, 2025
- \( r_1 - r_2 \)
- \( \frac{r_1 - r_2}{2} \)
- \( \frac{r_1 + r_2}{2} \)
- \( r_1 + r_2 \)
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The Correct Option is D
Solution and Explanation
Step 1: Understand the relation for the angle of the prism.
In a prism, the total angle of the prism \( A \) is related to the angles of refraction \( r_1 \) and \( r_2 \) at the two faces of the prism. The formula to calculate the angle of the prism is: \[ A = r_1 + r_2 \] Where:
\( r_1 \) is the angle of refraction at the first face of the prism,
\( r_2 \) is the angle of refraction at the second face of the prism.
Step 2: Apply the formula.
Thus, the angle of the prism is the sum of the angles of refraction at both the faces of the prism. Final Answer: The correct answer is \( r_1 + r_2 \).
In a prism, the total angle of the prism \( A \) is related to the angles of refraction \( r_1 \) and \( r_2 \) at the two faces of the prism. The formula to calculate the angle of the prism is: \[ A = r_1 + r_2 \] Where:
\( r_1 \) is the angle of refraction at the first face of the prism,
\( r_2 \) is the angle of refraction at the second face of the prism.
Step 2: Apply the formula.
Thus, the angle of the prism is the sum of the angles of refraction at both the faces of the prism. Final Answer: The correct answer is \( r_1 + r_2 \).
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