The Fraunhofer diffraction pattern due to a single slit of width 0.4 cm is obtained with the help of a lens of focal length 30 cm. If the wavelength of light used is 5890 Å, calculate the distance of the first dark fringe and the consecutive bright fringe from the axis.

The Fraunhofer diffraction pattern due to a single slit can be analyzed using the formula for the angular position of the minima (dark fringes) and maxima (bright fringes) in the diffraction pattern:

For dark fringes (minima): sin(θ) = m * λ / b

For bright fringes (maxima): sin(θ) = (m + 0.5) * λ / b

Where:

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