Photometric variability of Sun-like stars in the old open cluster M67

Few physical processes can affect the earth\u27s climate on a global scale. The variability of the Sun is one such process. The Sun is known to vary by about 0.1% due to Sunspots and other surface activity. We do not yet know whether the Sun\u27s variability is normal. Using the well-known properties of the old open cluster M67, we look for variations in Sun-like stars.;In this thesis, we present the results of observation, calibration, correction and analysis of stars in M67. We focus on Sun-like stars and binary systems. We also determine the limits of observation using a small research-grade telescope.;We find several known variable stars with comparable amplitudes of variability. Our precision is as high as 10 millimagnitudes, ranging 10-20 for Sun-like stars. Variability is detected as low as 20 millimagnitudes in amplitude. Our current precision, however, fails to detect solar-like variations