Light of wavelength λ is incident on a single slit of width 'a' and the distance between slit and screen is 'D'. In diffraction pattern, if slit width is equal to the width of the

Question

Light of wavelength λ is incident on a single slit of width 'a' and the distance between slit and screen is 'D'. In diffraction pattern, if slit width is equal to the width of the central maximum then 'D' is equal to

TestHub · Accepted Answer

The linear width of the central maximum in a single slit diffraction pattern is given by $\frac{2 λ D}{a}$ , where $λ$ is the wavelength, $D$ is the distance between the slit and the screen, and $a$ is the slit width.

According to the given condition, the width of the central maximum is equal to the slit width.

Therefore, $a = \frac{2 λ D}{a}$

Rearranging the equation to solve for $D$ , we get:

$D = \frac{a ^{2}}{2 λ}$

Answer: $\frac{a ^{2}}{2 λ}$

Physics - Wave Optics Question with Solution | TestHub

Options:

Doubts & Discussion