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Using Monte Carlo simulation of extensive air showers, we showed that themaximum depth of showers, $X_{max}$ can be estimated using $P=Q(100)/Q(200)$,the ratio of Cherenkov photon densities at 100 and 200 meters from the showercore, which is known as the steepness parameter of the lateral distribution ofCherenkov radiation on the ground. A simple quadratic model has been fitted toa set of data from simulated extensive air showers, relating the steepnessparameter and the shower maximum depth. Then the model has been tested onanother set of simulated showers. The average difference between the actualmaximum depth of the simulated showers and the maximum depth obtained from thelateral distribution of Cherenkov light is about 9 $g/cm^2$. In addition,possibility of a more direct estimation of the mass of the initial particlefrom $P$ has been investigated. An exponential relation between these twoquantities has been fitted. Applying the model to another set of showers, wefound that the average difference between the estimated and the actual mass ofprimary particles is less than 0.5 atomic mass unit.

On the Estimation of the Depth of Maximum of Extensive Air Showers Using the Steepness Parameter of the Lateral Distribution of Cherenkov Radiation