In Young’s Double Slit Experiment, the distance between the slits and the screen is 1.2 m, and the distance between the two slits is 2.4 mm. If a thin transparent mica sheet of thickness $1 \, \mu\text{m}$ and a refractive index of 1.5 is introduced between one of the interfering beams, what is the shift in the position of the central bright fringe?