In Young's double-slit experiment, light intensity is a maximum when the two waves interfere constructively. This occurs when

where \(d\) is the separations of the slits, \(\lambda\) the wavelength of light, \(m\) the order of the maximum, and \(\theta\) the scatter angle that the maxima occurs. Assume \(d=0.320 \mathrm{~mm}\). If a beam of \(\lambda=500 \mathrm{~nm}\) light strikes the two slits, how many maxima will there be in the angular range \(45^{\circ} \leq \theta \leq 45^{\circ}\) ?

d sin 0 m; m = 0, +1, +2, +3,...