In a Young's double slit experiment, (slit distance d) monochromatic light of wavelength `lambda` is used and the fringe pattern observed at a distance D from the slits. The angular position of the bright fringes are

Options

A. ` "sin"^(-1)((N lambda)/(d))`
B. ` "sin"^(-1)(((N+(1)/(2)) lambda)/(d))`
C. ` "sin"^(-1)((N lambda)/(D))`
D. ` "sin"^(-1)(((N+(1)/(2)) lambda)/(D))`

Answer

A

Explanation

Condition for bright fringes:
Path difference, `delta=d"sin"theta_("bright")=N lambda,` where `N=0,+-1,+-2,`
` :. theta_("bright")="sin"^(-1)((N lambda)/(d))`