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  •  Two slits and <img alt="\mathrm{S_{2}}" src="https://entrancecorner.oncodecogs.com/

 Two slits \mathrm{S_{1}} and \mathrm{S_{2}} illuminated by a white light source give a white central maxima.\mathrm{A} transparent sheet of refractive index 1.25 and thickness \mathrm{t_{1}} is placed in front of \mathrm{S_{1}}.
Another transparent sheet of refractive index 1.50 and thickness \mathrm{t_{2}}  is placed in front of \mathrm{S_{2}}. If central maxima is not effected, then ratio of the thickness of the two sheets will be

Option: 1

1: 2


Option: 2

2: 1


Option: 3

1: 4


Option: 4

4: 1


Answers (1)

best_answer

Since there is no shift in central maxima. Therefore path difference introduced by the two sheets are equal i.e. \mathrm{\left(m_{1}-1\right) t_{1}=\left(m_{2}-1\right) t_{2}}

\mathrm{where \: m_{1}\: and \: m_{2}}  are refraction index

\mathrm{i.e. \quad \frac{t_{1}}{t_{2}}=\frac{\left(m_{2}-1\right)}{\left(m_{1}-1\right)}=\frac{(1.5-1)}{(1.25-1)}=\frac{0.5}{0.25}=2}

Posted by

Kuldeep Maurya

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