In a Youngs double slit experiment, an angular width of the fringe is $0.35^{\circ}$ on a screen placed at 2 m away for particular wavelength of 450 nm . The angular width of the fringe, when whole system is immersed in a medium of refractive index $7 / 5$, is 1 . The value of $\alpha$ is $\_\_\_\_$
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