[Solved] To find the distance d over which a signal can be seen clearly in foggy conditions, a railways engineer uses dimensional analysis and assumes that the distance depends on the mass density \\rho of the fog, intensity (power/area) SS of the light from the signal and its frequency f. The engineer finds that disproportional to S^{\\frac {1}{n}}. The value of n is - - JEE (Advanced) 2014 Paper-1