Answer to Question #197044 in Optics for Vishal Kumar

Question #197044

CALCULATE THE DISTANCE BETWEEN SUCCESSIVE POSITION OF THE MOVABLE MIRROR OF MICHELSONS INTERFEROMETER GIVING BEST FRINGES OF SODIUM SOURCE HAVING LINES 5896 A° AND 5890 A°.


1
Expert's answer
2021-05-24T14:13:06-0400

λ1=5890,λ2=5896\lambda_1=5890, \lambda_2=5896


As Difference in wavelength-


Δλ=λ1λ2=λ1λ22(x2x1)\Delta \lambda=\lambda_1-\lambda_2=\dfrac{\lambda_1 \lambda_2}{2(x_2-x_1)}


(x2x1)=λ1λ22Δλ(x_2-x_1)=\dfrac{\lambda_1 \lambda_2}{2\Delta \lambda}


=5.896×107×5.890×1072(58965890=\dfrac{ 5.896\times 10^{-7} \times 5.890\times 10^{-7}}{2(5896-5890}


(x2x1)=28.94A(x_2-x_1)=28.94 A


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