The refracting angle of glass prism is 60 .if ray of light incident on...
To find the refractive index of the material of the prism, we can use the formula for minimum deviation. The minimum deviation occurs when the angle of incidence and the angle of emergence are equal. In this case, the angle of incidence on one of the surfaces is given as 50°, so the angle of emergence will also be 50°.
Let's go through the steps to find the refractive index of the prism material.
1. Identify the given values:
- Refracting angle of the prism (A): 60°
- Angle of incidence (i): 50°
- Angle of emergence (e): 50°
2. Calculate the angle of deviation (D):
The angle of deviation can be found using the formula:
D = (A + i) - e
Substituting the given values:
D = (60° + 50°) - 50°
D = 60°
3. Calculate the angle of minimum deviation (Dm):
For minimum deviation, the angle of deviation is equal to the refracting angle of the prism, so:
Dm = 60°
4. Calculate the refractive index (n):
The refractive index can be found using the formula:
n = sin[(A + Dm) / 2] / sin(A / 2)
Substituting the given values:
n = sin[(60° + 60°) / 2] / sin(60° / 2)
n = sin(120° / 2) / sin(30°)
n = sin(60°) / sin(30°)
n = √3 / 0.5
n = 1.73 / 0.5
n = 3.46
However, the given answer is 1.53, which means there might be an error in the given information or calculation. Please double-check the values provided or the calculations performed.
The refracting angle of glass prism is 60 .if ray of light incident on...
For minimum deviation, i=e So r1=r2= 30 Now, apply Snell's law
To make sure you are not studying endlessly, EduRev has designed NEET study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in NEET.