Step 1: Recall that the strength of oxy-acids depends on the electronegativity of the central atom and its ability to stabilize the conjugate base.
Step 2: In group 15, electronegativity decreases down the group:
\[
\text{N}>\text{P}>\text{As}>\text{Sb}
\]
Step 3: Higher electronegativity of the central atom increases the acidic strength of the oxy-acid.
Step 4: Therefore, the decreasing order of acidic strength is:
\[
\text{HNO}_3>\text{H}_3\text{PO}_4>\text{H}_3\text{AsO}_4>\text{H}_3\text{SbO}_4
\]
Step 5: Hence, option (C) is correct.