In a single slit diffraction pattern,a light of wavelength $6000 \mathring A$ is used. The distance between the first and third minima in the diffraction pattern is found to be $3 \text{ mm}$ when the screen is placed $50 \text{ cm}$ away from the slit. The width of the slit is . . . . . . $\times 10^{-4} \text{ m}$.

In an experiment,electrons are passed through a narrow slit of width $d$ equal to their de Broglie wavelength. They are detected on a screen at a distance $D$ from the slit. Which of the following graphs represents the number of electrons $N$ detected as a function of the detector position $y$ ($y = 0$ corresponds to the middle of the slit)?

Light of wavelength $\lambda$ is incident on a slit of width $a$. The resulting diffraction pattern is observed on a screen placed at a distance $D$. If the linear width of the central maximum is equal to the width of the slit,then $D = $ . . . . . . .

The diffraction pattern of light of wavelength $400 \ nm$ diffracting from a slit of width $0.2 \ mm$ is focused on the focal plane of a convex lens of focal length $100 \ cm$. The width of the $1^{\text{st}}$ secondary maxima will be:

The penetration of light into the region of geometrical shadow is called:

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