The paper deals with the set of attainable profiles of a solution u to a scalar balance law in one space dimension with strictly convex flux function ∂tu + ∂xf (u) = z(t, x).Here the function z is regarded as a bounded measurable control. We are interested in studying the set of attainable profiles at a fixed time T > 0, both in case z(t, ·) is supported in the all real line, and in case z(t, ·) is supported in a compact interval [a, b] independent on the time variable t. Mathematics Subject Classification. 35L65, 35Q93. and the source term z ∈ L ∞ (]0, T [×R) is regarded as a control. We are interested in studying the set of attainable profiles at time T , i.e. A(T, Z).= v ∈ L ∞ (R) : ∃z ∈ Z and a solution u to (1.1)−(1.2) : u(T, x) = v(x) a.e. , (1.4)