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A two slit Young's experiment is done with monochromatic light of wavelength \mathrm{6000 \AA.} Slits are \mathrm{2 \mathrm{~mm}} apart and fringes are observed on a screen placed \mathrm{10 \mathrm{~cm}} away from the slits. If a transparent plate of thickness \mathrm{0.5 \mathrm{~mm}} is placed in front of one of the slit, interference pattern shifts by \mathrm{5 \mathrm{~mm}. }Then refractive index of transparent plate should be

Option: 1

1.1


Option: 2

1.2


Option: 3

1.3


Option: 4

1.5


Answers (1)

best_answer

\mathrm{\begin{aligned} & (\mu-1) t=\frac{x d}{D} \text { or } \mu=1+\frac{x d}{D t} \\ & \text { or } \mu=1+\frac{0.5 \times 0.2}{10 \times 0.05}=1+0.2=1.2 \end{aligned}}

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