In a YDSE (Young double slit experiment) screen is placed 1 m from the slits, wavelength of light used is $6000 \overset{\circ}{A}$ . Fringes formed on the screen are observed by a student sitting close to the slits. The student’s eye can distinguish two neighboring fringes, if they subtend an angle more than 1 minutes of arc. Calculate the maximum distance between the slits, so that fringes are clearly visible. Give answer in mm).

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Detailed Solution

Angular fringe width $θ_{β} = \frac{β}{D} = \frac{λ}{d}$
According to the given condition
$\frac{λ}{d} \geq \frac{π}{180 \times 60} d < \frac{6 \times 10^{- 7} \times 180 \times 60}{π} d_{\max} = 2.06 \times 10^{- 3} m d_{\max} = 2.06 m m$

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