A linear aperture whose width is $$0.02$$ cmis placed immediately in front of a lens of focal length $$60$$ cm. The aperture is illuminated normally by a parallel beam of wavelength $$5$$×$$10-5$$ cm. The distance of the first dark band of the diffraction pattern from the centre of the screen is

Question

A linear aperture whose width is $$0.02$$ cmis placed immediately in front of a lens of focal length $$60$$ cm. The aperture is illuminated normally by a parallel beam of wavelength $$5$$×$$10-5$$ cm. The distance of the first dark band of the diffraction pattern from the centre of the screen is

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Here,$$a=0.02$$ $$cm=2$$×$$10-4$$ mλ$$=5$$×$$10-5$$ $$cm=5$$×$$10-7$$ $$mD=60$$ $$cm=0.6$$ mPosition of first minima on the diffraction pattern,$$y1=D$$λ$$a=0.6$$×$$5$$×$$10-72$$×$$10-4=15$$×$$10-4$$ $$m=0.15$$ cm

A linear aperture whose width is $0.02 c m$ is placed immediately in front of a lens of focal length 60 cm. The aperture is illuminated normally by a parallel beam of wavelength $5 \times 10^{- 5} c m$ . The distance of the first dark band of the diffraction pattern from the centre of the screen is

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A linear aperture whose width is 0.02 cmis placed immediately in front of a lens of focal length 60 cm. The aperture is illuminated normally by a parallel beam of wavelength 5×10-5 cm. The distance of the first dark band of the diffraction pattern from the centre of the screen is

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A linear aperture whose width is $0.02 c m$ is placed immediately in front of a lens of focal length 60 cm. The aperture is illuminated normally by a parallel beam of wavelength $5 \times 10^{- 5} c m$ . The distance of the first dark band of the diffraction pattern from the centre of the screen is