A young's double slit interference arrangement with slits S 1 and S 2 is immersed in water (refractive index = 4/3) as shown in the figure. The positions of maxima on the surface of water are given by x 2 =p 2 m 2 λ 2 – d 2 , where λ is the wavelength of light in air (refractive index = 1), 2d is the separation between the slits and m is an integer. The value of p is 
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(3)
Sol. For constructive interference Δ x = m λ
– 
= m λ
= m λ
x 2 = 9m 2 λ 2 – d 2
p = 3
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