A diffraction grating casts a pattern on a screen located a distance \(L\) from the grating. The central bright fringe falls directly in the center of the screen. For the highestorder bright fringe that hits the screen, \(m=x\), and this fringe hits exactly on the screen edge. This means that \(2 x+1\) bright fringes are visible on the screen. What happens to the number of bright fringes on the screen \((a)\) if the wavelength of the light passing through the grating is doubled and \((b)\) if the spacing \(d\) between adjacent slits is doubled?