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°.
λ1=5890,λ2=5896\lambda_1=5890, \lambda_2=5896λ1=5890,λ2=5896
As Difference in wavelength-
Δλ=λ1−λ2=λ1λ22(x2−x1)\Delta \lambda=\lambda_1-\lambda_2=\dfrac{\lambda_1 \lambda_2}{2(x_2-x_1)}Δλ=λ1−λ2=2(x2−x1)λ1λ2
(x2−x1)=λ1λ22Δλ(x_2-x_1)=\dfrac{\lambda_1 \lambda_2}{2\Delta \lambda}(x2−x1)=2Δλλ1λ2
=5.896×10−7×5.890×10−72(5896−5890=\dfrac{ 5.896\times 10^{-7} \times 5.890\times 10^{-7}}{2(5896-5890}=2(5896−58905.896×10−7×5.890×10−7
(x2−x1)=28.94A(x_2-x_1)=28.94 A(x2−x1)=28.94A
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