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Dust properties within a galaxy are known to change from the diffuse mediumto dense clouds due to increased local gas density. However, the question ofwhether dust properties change with redshift remains elusive. In this paper,using the fact that the mean radiation intensity of the interstellar medium(ISM) of star-forming galaxies increases with redshift, we show that dustproperties should change due to increasing efficiency of rotational disruptionby radiative torques, an effect named RAdiative Torque Disruption (RATD). Wefirst show that, due to RATD, the size distribution of interstellar dust varieswith redshift, such as dust grains become smaller at higher $z$. We model theextinction curves and find that the curve becomes steeper with increasingredshift. The ratio of total-to-selective extinction, $R_{V}$, decreases withredshift and achieves low values of $R_{V}\sim 1.5-2.5$ for grains having acomposite structure. We also find that dust properties change with the localgas density due to RATD, but the change is dominated by the radiation field forthe diffuse ISM. The low values of $R_{V}$ implied by RATD of interstellar dustcould reproduce anomalous dust extinction observed toward type Ia supernovae(SNe Ia) and Small Magellanic Cloud (SMC)-like extinction curves with a steepfar-UV rise toward high-z galaxies. Fluctuations in $R_{V}$ due to interstellarturbulence and varying radiation intensity may resolve the tension inmeasurements of the Hubble constant using SNe Ia. We finally discuss theimplications of evolving dust properties for high-z astrophysics.

Variation of dust properties with cosmic time implied by radiative torque disruption