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Q.

In the Young's double slit experiment, the intensities at two points \(P_{1}\) and \(P_{2}\) on the screen are respectively \(I_{1}\) and \(I_{2}\). If \(P_{1}\) is located at the centre of a bright fringe and \(P_{2}\) is located at a distance euqal to a quarter of fringe width from \(P_{1}\), then \(\frac{I_{1}}{I_{2}}\) is

(a) 2

(b) \(\frac{1}{2}\)

(c) 4

(d) 16