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Light with a wavelength of 644nm uniformly illuminates a single slit. The width of the slit, if first –order dark band is located at $θ = {0.125}^{0}$ , is $[\sin ({0.125}^{0}) = 2.18 \times 10^{- 3}]$

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9.42×10−4m

2.95×10−4m

4.71×10−4m

3.80×10−4m

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detailed solution

Correct option is B

sinθ=λα⇒α=λsinθ=644×10-92.18×10-3=2.95×10-4m

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Light with a wavelength of 644nm uniformly illuminates a single slit. The width of the slit, if first –order dark band is located at θ=0.1250 , is [sin(0.1250)=2.18×10−3]

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Light with a wavelength of 644nm uniformly illuminates a single slit. The width of the slit, if first –order dark band is located at $θ = {0.125}^{0}$ , is $[\sin ({0.125}^{0}) = 2.18 \times 10^{- 3}]$