sin⁻¹((N+1/2)λd)
sin⁻¹(Nλd)
sin⁻¹((N+1/2)λL)
sin⁻¹(NλL)
The correct option is A sin⁻¹(Nλd)
The path difference of light coming from two slits at height y from the central maxima = yd/L
Hence for the bright fringe to form, yd/L = Nλ
Hence y/L = Nλd
The angular position of bright fringe is θ = sin⁻¹(y/L) = sin⁻¹(Nλd)