In ortho nitro phenol, electron withdrawing nitro group is present in ortho position, the electron density of \\\\(O-H\\\\) bond is reduced.This makes removal of proton easy. After deprotonation, o-nitrophenoxide ion is resonance stabilized. Hence, ortho nitrophenol is a stronger acid.In ortho methoxyphenol, electron releasing methoxy group is present in ortho position, the electron density of \\\\(O-H\\\\) bond is increased.This makes removal of proton difficult. Hence, ortho methoxyphenol is less acidic.