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(C) In a Young's double-slit experiment,the condition for constructive or destructive interference at any point on the screen is based on the path dif

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Hyperbola

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(C) In a Young's double-slit experiment,the condition for constructive or destructive interference at any point on the screen is based on the path difference between the waves from the two slits.Let the slits be at $S_1$ and $S_2$. For any point $P(x, y)$ on the screen,the path difference $\Delta = S_2P - S_1P = n\lambda$ (for maxima) or $(n + 1/2)\lambda$ (for minima).The locus of points having a constant path difference from two fixed points (the slits) is a hyperbola.Therefore,the interference fringes formed on a screen are hyperbolic in shape.

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

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