Two slits, S 1 and S 2 , illuminated by a white light source, give a white central maximum. A transparent sheet, of refractive index 1 . 25 and thickness t 1 , is placed in front of S 1 . Another transparent sheet, of refractive index 1 . 5

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Two slits, S 1 and S 2 , illuminated by a white light source, give a white central maximum. A transparent sheet, of refractive index 1 . 25 and thickness t 1 , is placed in front of S 1 . Another transparent sheet, of refractive index 1 . 50 and thickness t 2 , is placed in front of S 2 . If the central maxima are not affected, then the ratio t 1 : t 2 will be

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Correct answer: B. 2 : 1

Since there is no shift in central maxima, the path difference introduced by the two sheets are equal. i.e. μ 1 - 1 t 1 = μ 2 - 1 t 2 Where μ 1 and μ 2 are refraction index i.e. t 1 t 2 = ( μ 2 - 1 ) ( μ 1 - 1 ) = ( 1.5 - 1 ) ( 1.25 - 1 ) = 0.5 0.25 = 2

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