NEET 2016
- Exam
- NEET
- Year
- 2016
- Subject
- Physics
- Chapter
- Wave Optics
NEET 2016 · Physics · Wave Optics
The interference pattern is obtained with two coherent light...
The interference pattern is obtained with two coherent light sources of intensity ratio, . In the interference pattern, the ratio, \dfrac{{I}_\max - {I}_\min}{{I}_\max + {I}_\min} will be
Options
- A
- B
- C\sqrt{\dfrac{n}{{\left(n + 1\right)}^{2}}}
- D\dfrac{2\sqrt{n}}{{\left(n + 1\right)}^{2}}
Correct answer
B.
Step-by-step solution
.
{I}_\max = {\left(\sqrt{{I}_{1}} + \sqrt{{I}_{2}}\right)}^{2} = {\left(\sqrt{n} + 1\right)}^{2}{I}_{2}.
{I}_\min = {\left(\sqrt{{I}_{1}} - \sqrt{{I}_{2}}\right)}^{2} = {\left(\sqrt{n} - 1\right)}^{2}{I}_{2}.
\dfrac{{I}_\max - {I}_\min}{{I}_\max + {I}_\min} = \dfrac{4\sqrt{n}}{2\left(n + 1\right)} = \dfrac{2\sqrt{n}}{n + 1}