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

Answer

A

Explanation

The condition for bright fringes is
Path difference, `lambda=dsintheta_("bright")=N lambda`
where `N=0,+-1,+-2,…...`
The angular position of the bright fringes is
`theta_("bright")=sin^(-1)((Nlambda)/(d))`