The angular deviation of the $5^{th}$ order dark fringe is $12^{\circ}$ in a single slit experiment. If the width of the slit is $9 \mu m$, then the wavelength of the incident light is: (in $Å$)

$A$ diffraction pattern is obtained using a beam of red light. If red light is replaced by blue light,then:

In a Fraunhofer diffraction due to a single slit,the diffraction pattern is formed on the focal plane of a lens of focal length $f = 1 \ m$. The width of the slit is $a = 0.3 \ mm$. If the third minimum is formed at a distance of $5 \ mm$ from the central maximum,find the wavelength of light in $\mathring{A}$.

Sodium light of wavelengths $650\, nm$ and $655\, nm$ is used to study diffraction at a single slit of aperture $0.5\, mm$. The distance between the slit and the screen is $2.0\, m$. The separation between the positions of the first maxima of the diffraction pattern obtained in the two cases is $x \times 10^{-5}\, m$. Find the value of $x$.

Determine the angular separation between the central maximum and the first-order maxima of the diffraction pattern due to a single slit of width $0.25\, mm$ when light of wavelength $5890\,\mathring{A}$ is incident on it.

$A$ single slit of width $a$ is illuminated by a monochromatic light of wavelength $600 \, nm$. The value of $a$ for which the first minimum appears at $\theta = 30^{\circ}$ on the screen will be ........... $\mu m$.