In Young's double slit experiment,the distanc | vedclass

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(C) The interference pattern disappears when the angular separation between the fringes becomes less than the angular resolution of the human eye.The

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(C) The interference pattern disappears when the angular separation between the fringes becomes less than the angular resolution of the human eye.The angular fringe width is given by $\beta_{	heta} = \frac{\lambda}{d}$.The angular resolution of the eye is $\Delta	heta = \frac{1}{60}^o = \frac{1}{60} 	imes \frac{\pi}{180} 	ext{ radians}$.For the pattern to disappear,the angular fringe width must be equal to the angular resolution of the eye: $\frac{\lambda}{d_0} = \Delta	heta$.Substituting the values: $d_0 = \frac{\lambda}{\Delta	heta} = \frac{600 	imes 10^{-9} 	ext{ m}}{\frac{1}{60} 	imes \frac{\pi}{180} 	ext{ rad}}$.$d_0 = \frac{600 	imes 10^{-9} 	imes 60 	imes 180}{\pi} \approx \frac{6.48 	imes 10^{-3}}{3.14} \approx 2.06 	imes 10^{-3} 	ext{ m}$.Thus,$d_0 \approx 2 	ext{ mm}$.

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