NTA Abhyas 2020
- Exam
- NTA Abhyas
- Year
- 2020
- Subject
- Physics
- Chapter
- Wave Optics
NTA Abhyas 2020 · Physics · Wave Optics
The ratio of amplitudes of two coherent waves in Young's...
The ratio of amplitudes of two coherent waves in Young's double-slit experiment is . What is the ratio of maximum and minimum intensities of fringes?
Correct answer
04.00
Step-by-step solution
\dfrac{{I}_\max}{{I}_\min} = \dfrac{{\left(\sqrt{{I}_{1}} + \sqrt{{I}_{2}}\right)}^{2}}{( \sqrt{{I}_{1}} - \sqrt{{I}_{2}}{)}^{2}} = {\left(\dfrac{{A}_{1} + 3{A}_{1}}{{A}_{1} - 3{A}_{1}}\right)}^{2}
\dfrac{{I}_\max}{{I}_\min} = {\left(\dfrac{{A}_{1} + 3{A}_{1}}{{A}_{1} - 3{A}_{1}}\right)}^{2} = {\left(\dfrac{4}{2}\right)}^{2} = 4