Light of wavelength `lamda` is incident on a slit of width d. the resulting diffraction pattern is observed on a screen at a distance D. the linear width of the principal maximum is equal to the width of the slit if D equals

Options

A. `(d^(2))/(2lambda)`
B. `(d)/(lambda)`
C. `(2lambda^(2))/(d)`
D. `(2lambda)/(d)`

Answer

A

Explanation

The linear width of central principal maximum `=(2lambdaD)/(d)`
If it is equal to width of slit (d), then `(2lambdaD)/(d)=d rArr D=(d^(2))/(2lambda)`