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Activities in M dwarfs show spectroscopic variability over various time scales ranging from a few seconds to several hours. The time scales of such variability can be related to internal dynamics of M dwarfs like magnetic activity, energetic flaring events, their rotation periods, etc. The time variability in the strengths of prominent emission lines (particularly H$\alpha$) is mostly taken as a proxy of such dynamic behavior. In this study, we have performed the spectroscopic monitoring of 83 M dwarfs (M0-M6.5) to study the variations in H$\alpha$ and H$\beta$ emissions on short-time scales. Low-resolution (resolution $\sim$5.7 angstroms) spectral time series of 3-5 minutes cadence over 0.7-2.3 hours were obtained with MFOSC-P instrument on PRL 1.2m Mt. Abu telescope, covering H$\beta$ and H$\alpha$ wavelengths. Coupled with the data available in the literature and archival photometric data from TESS and Kepler/K2 archives, various variability parameters are explored for any plausible systematics with respect to their spectral types, and rotation periods. Though about 64\% of our sample shows statistically significant variability, it is not uniform across the spectral type and rotation period. H$\alpha$ activity strength (L$_{H\alpha}$/L$_{bol}$) is also derived and explored for such distributions.