Concepts Of Physics MCQ Edition [Volume 1]
- Exam
- Concepts Of Physics MCQ Edition [Volume 1]
- Subject
- Physics
- Chapter
- Dispersion and Spectra
Concepts Of Physics MCQ Edition [Volume 1] · Physics · Dispersion and Spectra
A thin prism is constructed from a material with refractive indices...
A thin prism is constructed from a material with refractive indices of and for red and violet light, respectively. The material's dispersive power is . Under favourable conditions, a yellow light beam passing through the prism experiences a minimum deviation of 4.0^{}^{{}^{\circ}}. Determine the angle of the prism.
Options
- A5.0^{}^{{}^{\circ}}
- B7.0^{}^{{}^{\circ}}
- C6.3^{}^{{}^{\circ}}
- D8.0^{}^{{}^{\circ}}
Correct answer
B. 7.0^{}^{{}^{\circ}}
Step-by-step solution
The dispersive power of the prism material is given by the formula:
Substituting the given values:
For a thin prism, the deviation for yellow light is given by:
Given that \delta_y = 4.0^{}^{{}^{\circ}}, we can find the angle of the prism :
4.0^{}^{{}^{\circ}} = \left(\dfrac{4}{7}\right) A
A = \dfrac{4.0^{}^{{}^{\circ}} \times 7}{4} = 7.0^{}^{{}^{\circ}}
Substituting the given values:
For a thin prism, the deviation for yellow light is given by:
Given that \delta_y = 4.0^{}^{{}^{\circ}}, we can find the angle of the prism :
4.0^{}^{{}^{\circ}} = \left(\dfrac{4}{7}\right) A
A = \dfrac{4.0^{}^{{}^{\circ}} \times 7}{4} = 7.0^{}^{{}^{\circ}}