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 tran

Question

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

TestHub · Accepted Answer

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. $\frac{t_{1}}{t_{2}} = \frac{(μ_{2} - 1)}{{(μ}_{1} - 1)} = \frac{(1.5 - 1)}{(1.25 - 1)} = \frac{0.5}{0.25} = 2$

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