Question

The formula for refractive index of a prism is

• A. \( \frac{\sin \left( \frac{A}{2} \right)}{\sin \left( \frac{A+D}{2} \right)} \)
• B. \( n = \frac{\sin \left( \frac{D}{2} \right)}{\sin \left( \frac{A}{2} \right)} \)
• C. \( n = \frac{\sin \left( \frac{A+D}{2} \right)}{\sin \left( \frac{A}{2} \right)} \)
• D. \( n = \frac{\sin (A+D)}{\sin (A)} \)

Hint:

For calculating the refractive index of a prism, use the formula \( n = \frac{\sin \left( \frac{A+D}{2} \right)}{\sin \left( \frac{A}{2} \right)} \), where \( A \) is the angle of the prism and \( D \) is the angle of deviation.

Answer 1

The Correct Option is C

The refractive index \( n \) of a prism is given by the formula: \[ n = \frac{\sin \left( \frac{A+D}{2} \right)}{\sin \left( \frac{A}{2} \right)} \] This formula relates the angle of the prism \( A \) and the deviation angle \( D \). Thus, the correct answer is option (3).