Memory in the stock prices is an important phenomenon of stock markets that poses a significant threat to the efficient market hypothesis of such markets and their equilibrium state. The presence of memory in both long-term as well as short-term security prices provides a potential opportunity for speculators and investors to forecast the prices and indulge in excess trading practices with the intention of making abnormal profits. The present study aimed at identifying and quantifying the long-memory and short-memory aspects of disruption caused by pandemic shock i.e. COVID 19 & focused on the time taken by the markets to overcome such shocks and to return to their equilibrium state. For this purpose, daily data of three important segments of NSE namely NIFTY FIFTY, NIFTY MIDCAP 50 & NIFTY SMALL CAP 50 were collected for a period of three years. Time series tools for example ACF, PACF & GPH (Geweke and Porter-Hudak) test were employed. The results so obtained indicated that there is significant short memory present in these indices that take considerably longer time to decay and long memory is also strongly indicated. The study, therefore, concludes COVID-19 disruptions still evidently subsisted in the security prices of these markets.