Answer :
When an observation is made at a single-slit diffraction pattern at an angle of 30 ∘, the first minimum ratio of the slit-width-to-wavelength will be 1.41.
To determine this, we use this equation θ = sin−1(nλ/s),
θ is representing the angle of observation, n is an integer (where n=1), λ is the wavelength of the light wave, and s is the width of the slit.
if we replace the given values of θ and n,
The result is s/λ = 1.41.
This well explains why, a single-slit diffraction pattern observed at an angle of 30 ∘, the slit-width-to-wavelength ratio for the first minimum will be 1.41.
The spreading out of light or sound waves as they pass through a narrow opening is known as diffraction. A single-slit diffraction pattern is a pattern of bright and dark fringes that appear when light passes through a single slit. The position of the first minimum of this pattern, which is the point at which the light intensity drops to its lowest, is determined by the slit-width-to-wavelength ratio.
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