1. Tardigrade
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  3. Physics
  4. In YDSE distance between the S1 and S2 is d . P1 and P2 are two points equidistance from dotO at an angular position β as shown. A parallel beam of monochromatic light is incident at an angle α on the slits. Then the ratio of path difference at P1 and P2 is:

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Q. In YDSE distance between the $S_1$ and $S_2$ is $d . P_1$ and $P_2$ are two points equidistance from $\dot{O}$ at an angular position $\beta$ as shown. A parallel beam of monochromatic light is incident at an angle $\alpha$ on the slits. Then the ratio of path difference at $P_1$ and $P_2$ is:Physics Question Image

Wave Optics

Solution:

$\frac{\Delta P_1}{\Delta P_2}=\frac{\sin \alpha-\sin \beta}{\sin \alpha+\sin \beta}=\tan \frac{\alpha-\beta}{2} \cot \frac{\alpha+\beta}{2}$