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A screen is placed 2 m away of a single narrow slit. Calculate the slit width if  the first minima lies 5 mm of either side of central maxima if the incident plane wave has a wavelength of 5000 A0

a
2×10-4m
b
10-5m
c
5×10-5m
d
10-3 m

detailed solution

Correct option is A

for the first minima sinθ=λa=xD    so  a=λ Dxhere D=2m and x = 5 mm λ=5×10-7mthen a=a=5×10-7×25×10-3= 2×10-4m

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