if angle of minimum deviation of a prism is equal to refracting angle of the prism, then refractive index of material of prism satisfies
Step 1: Given
The refractive index of the prism is .
Let be the angle of minimum deviation and be the refracting angle of the prism.
Then as per given data,
Step 2: Formulas used
We know that,
Step 3: Calculate the refractive index
Given , thus,
The angle of prism can only lie between and .
Thus, lies between and
Therefore, the range of the refractive index will be .