If the light source utilized in a Young's double slit experiment is...

The fringe width in Young's double slit experiment is given by $\beta = \dfrac{\lambda D}{d}$, where $\lambda$ is the wavelength of the light used, $D$ is the distance between the slits and the screen, and $d$ is the distance between the two slits.

The wavelength of red light is greater than the wavelength of violet light ($\lambda_{red} > \lambda_{violet}$).

Since the fringe width is directly proportional to the wavelength ($\beta \propto \lambda$), decreasing the wavelength by changing the light from red to violet will decrease the fringe width.

Therefore, the consecutive fringes will come closer together.