SrTi0.5Mn0.5O3 (STMO) is a chemically disordered perovskite having random distribution of Ti and Mn over 1b site. Striking discrepancies about the structural and magnetic properties of STMO demands detailed analysis which is addressed. To explore the magnetic ground state of STMO, static and dynamic magnetic properties were studied over a broad temperature range (2-300 K). The dc, ac magnetization show a cusp like peak at Tf ~ 14 K, which exhibits field and frequency dependence. The thermoremanent magnetization is characterized by using stretched exponential function and characteristic time suggests the existence of spin clusters. Also the other features observed in magnetic memory effect, muon spin resonance/rotation and neutron powder diffraction confirm the existence of cluster spin glass state in STMO, rather than the long range ordered ground state. Intriguingly, the observed spin relaxation can be attributed to the dilute magnetism due to non-magnetic doping at Mn-site and competing antiferromagnetic and ferromagnetic interactions resulting from the site disorder. I. IntroductionCompeting magnetic interactions added to chemical disorder can hinder long range magnetic ordering and may lead to frozen spin states at low temperatures. The key point of present work is to understand such effect of chemical disorder on magnetic ground state of B-site of double perovskite SrTi0.5Mn0.5O3 (STMO). Meanwhile, another important factor which is found to promote the spin-glass (SG) state in double perovskites is geometrical frustration arising from the tetrahedral topology 1,2,3 of the magnetic ion. Here, the term double perovskite has been specifically used for B-site ordered systems having the general formula A2BB'O6. In these systems, geometrical frustration does not always lead to the short range ordered state but can instead produce some more exotic magnetic ground states including spin-ice, spin-liquid etc. 4,5,6 , in addition to long range order. Intriguingly, for B-site ordered double perovskites having magnetic cation at B'-site,

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