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(A) In a Young's double slit experiment, the path difference $\Delta x$ at any point $P$ on the screen is given by the difference in distances from th

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hyperbola

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(A) In a Young's double slit experiment, the path difference $\Delta x$ at any point $P$ on the screen is given by the difference in distances from the two slits $S_1$ and $S_2$, i.e., $\Delta x = |S_2P - S_1P|$.For a constant path difference (which corresponds to a specific fringe), the locus of points $P$ such that $|S_2P - S_1P| = 	ext{constant}$ represents a hyperbola in three-dimensional space.When this hyperbolic surface intersects a flat screen placed perpendicular to the plane of the slits, the resulting intersection is a hyperbola.However, for a screen placed at a large distance $D$ from the slits (where $D \gg d$, with $d$ being the slit separation), the hyperbolic fringes appear as nearly straight lines in the central region of the screen.

$A$ Young's double slit experiment uses a monochromatic source. The shape of the interference fringes formed on a screen is

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