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 maxi

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 $W = \frac{2 λ D}{a}$ .

Given that the width of the central maximum is equal to the slit width, we have $W = a$ .

Equating the two expressions:

$\frac{2 λ D}{a} = a$

$2 λ D = a^{2}$

$D = \frac{a ^{2}}{2 λ}$

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